A company employing 10,000 workers offers deluxe medical coverage (D), standard medical coverage (S) and economy medical coverage (E) to its employees. Of the employees, 30% have D, 60% have 5 and 10% have E. From past experience, the probability that an employee with D, will submit no claims during next year is 0.1. The corresponding probabilities for employees with S and E are 0.4 and 0.7 respectively. If an employee is selected at random;

a) What is the probability that the selected employee has standard coverage and will submit no

claim during next year? b) What is the probability that the selected employee will submit no claim during next year?

c) If the selected employee submits no claims during the next year, what is the probability that the employee has standard medical coverage (S)?
please give full answer

Answers

Answer 1
To answer these questions, we can use the information given about the proportions of employees with each type of coverage and the probability of no claims for each type of coverage.

a) The probability that the selected employee has standard coverage is 60%, and the probability that they will submit no claims is 0.4. Therefore, the probability that the selected employee has standard coverage and will submit no claims is 0.4 * 0.6 = 0.24.

b) To find the probability that the selected employee will submit no claims, we can add up the probabilities for each type of coverage. The probability that the selected employee will submit no claims is 0.1 * 0.3 + 0.4 * 0.6 + 0.7 * 0.1 = 0.33.

c) To find the probability that the selected employee has standard coverage given that they have no claims, we can use Bayes' Theorem. The probability that the selected employee has standard coverage given that they have no claims is:

P(S|N) = P(N|S) * P(S) / P(N)

Plugging in the values from the problem, we get:

P(S|N) = 0.4 * 0.6 / 0.33 = 0.73

Therefore, the probability that the selected employee has standard coverage given that they have no claims is 0.73.

Related Questions

On Saturday morning, Wendy watched one and a half hours of her favorite shows on television. During the shows there were 27 commercials. What is the unit rate of commercials per hour? 9 hours per commercial 12 commercials per hour
14 commercials per hour 18 commercials per hour

Answers

The unit rate is 18 commercials per hour.

What is Division?

A division is a process of splitting a specific amount into equal parts.

On Saturday morning, Wendy watched one and a half hours of her favorite shows on television.

During the shows there were 27 commercials.

We need to find the unit rate of commercials per hour.

To find this we have to divide 27 by number of hours

27/[tex]1\frac{1}{2}[/tex]

Convert [tex]1\frac{1}{2}[/tex] to improper fraction

27/(3/2)

When whole number is divided by fraction, the denominator is multiplied with whole number

27×2/3

54/3

18

Hence, the unit rate is 18 commercials per hour.

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Answer:18 commercials per hour

Step-by-step explanation:

How many ways can you arrange 4 of 6 trophies on a shelf?

Answers

Answer:

24

Step-by-step explanation:

i did 4x6

4x6=24

the reason i did this is because that is how i do this the rest of the class has their fancy diagrams and are being hyponthageese and not listening to me to find that it is the easiest way to find the answer

WHAT IS A PRICE OF A 7 - MINUTE DIAL DIRECT CALL TO NEW YORK, NY, WHEN YOU
CALL IN THE EVENING?

Answers

The price of a seven minute call direct to New York, in the evening, is given as follows:

$5.82.

How to obtain the cost of the call?

The cost of the call is obtained considering the information given in the table, for which the proportions are applied.

We have a direct call, meaning that it is a person-to-person call, thus the flat rate is of $3.00 per minute.

Then the minute proportions, considering that the call happens in the evening, are given as follows:

First minute: 0.38 of $3.Each additional minute: 0.26 of $3.

A seven minute call is composed by six additional minutes after the first, hence the total cost is obtained as follows:

0.38 x 3 + 6 x 0.26 x 3 = $5.82.

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($75,000 - $80,000) x (1 - .21)

Answers

Answer:

-3,950

Step-by-step explanation:

First -5,000(1-0.21)

Then multiply -5,000 x 0.79 = -3,950

I’m stuck, help would be nice :D

Answers

Answer:

-14

Explanation:

3 x -3 - 5 = -14

Answer:

-14, -5, 4, and 13

Step-by-step explanation:

For each x value, substitute it for x in the equation.

For the first one where x = -3,

y = 3(-3) - 5

y = -9 - 5

y = -14

So the first one is -14. The next x value is 0

y = 3(0) - 5

y = 0 - 5

y = -5

Second one is -5. The next x value is 3

y = 3(3) - 5

y = 9 - 5

y = 4

Third is 4. The next x value is 6

y = 3(6) - 5

y = 18 - 5

y = 13

So the last one is 13.

Which equation should be used to find the volume of the figure?
12 cm
13.cm
6 cm
10 cm

Answers

Answer:

O V=3(10XB)(12)

Step-by-step explanation:

Mary is going down a straight waterslide that is 150 feet above the ground. The waterslide is 225 feet long. What is the angle of elevation with the ground to the top of the waterslide?round to two decimals places

Answers

Answer:41.81 degrees

Step by step solution: see photo

HELP ME I'LL GIVE BRAINLIEST
DON'T YOU DARE STEAL THE POINTS OR I WILL HUNT YOU DOWN

Answers

11h+33

30p+15j

4p+8

i feel like im about to die, ur a lil scary

(2.1)to the power of2 +5.2-7.2)x7.1

Answers

The numeric value of the expression ((2.1)² + 5.2 - 7.2) x 7.1 is given as follows:

17.1.

How to obtain the numeric value of the expression?

The expression for this problem is defined as follows:

((2.1)² + 5.2 - 7.2) x 7.1

The precedence of operators follows the PEMDAS acronym, as follows:

P: power operations.E: exponent operations, with the same precedence as power operations, depending which appears first on the expression.M: multiplication operations.D: division operations, with the same precedence as division operations, depending which appears first on the expression.A: addition operations.S: subtraction operations, with the same precedence as subtraction operations, depending which appears first on the expression.

Hence the parenthesis takes precedence, thus:

(2.1)² + 5.2 - 7.2.

Then the power takes precedence, thus:

(2.1)² + 5.2 - 7.2 = 4.41 + 5.2 - 7.2

Addition and subtraction can be done in any order, hence:

4.41 + 5.2 - 7.2 = 2.41.

Then the multiplication is given as follows:

2.41 x 7.1 = 17.1.

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PLS HELP! YOU DONT NEED TO DO ANYTHING JUST LET ME KNOW IF ITS RIGHT OR NOT AND GIVE ME A REASON WHY

Question: what angle below is adjacent to angle CBD?
Me:EBD

Answers

Answer:

your answer is right

Step-by-step explanation:

adjacent angles = angles with a common side and corner point

Answer:

u are correct bc adjacent means: next to or adjoining something else.

hope u get a good mark gl

Step-by-step explanation:

Three neighbors each decide to plant a garden of petunias and daffodils. The table below shows the number of flowers in each garden.

which one has the greatest ratio of petunias to daffodils in their garden.


Neighbor
Ms. Herrera
Mr. Marks
Mrs. Perry
Number of Petunias
Ms. Herrera 48,
Mr. Marks 84,
Mrs. Perry 30
Number of Daffodils
Ms. Herrera 16,
Mr. Marks 24,
Mrs. Perry 8

Answers

Answer:

Mrs. Perry

Step-by-step explanation:

find the ratio by dividing the petunias by the daffodils

Ms. H =3

Mr. M = 3.5

mrs. P= 3.75

Multiply and combine like terms to determine the product of these polynomials. (2x – 3)(5x + 6)

Answers

Answer:

Step-by-step explanation:

(2x – 3)(5x + 6)

10x2 + 12x - 15x - 18

10x2 - 3x - 18

The product of the given polynomials is 10x² - 3x - 18

What is a polynomial?

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

The given polynomials are:

(2x – 3)(5x + 6)

By multiplying the two polynomials, we get

10x² + 12x - 15x - 18

10x²- 3x - 18

Hence, 10x²- 3x - 18 is the product of the given polynomials.

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What does 69 divided by 310.5 equal in decimal form?

Answers

The answer would be 0.22222222
You need to take 69 and divide it by 310.5 and you will get your answer.

Find the circumference of a circle with an area of 254.47 sq. in.

Answers

Answer:

56.55 in is the answer

Hope this helps

Have a good day :)

Step-by-step explanation:

please answersssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer: 89,596

Step-by-step explanation:Hope I helped

What is the scale factor? Will mark brainlest

Answers

Answer:

The answer is -1

Step-by-step explanation:

A sailor cut a 40 foot length of rope in two pieces. If the longer piece is five feet less than twice the shorter piece of rope, then how long is the longer piece.

Answers

Answer:

23ft longer

Step-by-step explanation:

The shorter piece is 15 feet, while the longer piece is 25 feet

Let the longer piece be y, and the shorter piece be x.

So, we have:

[tex]x + y = 40[/tex] --- the length of the rope

[tex]y =2x - 5[/tex] --- the relationship between the short and the long piece

Substitute 2x - 5 for y in [tex]x + y = 40[/tex]

[tex]x + 2x - 5 =40[/tex]

[tex]3x - 5 =40[/tex]

Add 5 to both sides

[tex]3x =45[/tex]

Divide both sides by 3

[tex]x =15[/tex]

Substitute 15 for x in [tex]y =2x - 5[/tex]

[tex]y =2 \times 15 -5[/tex]

[tex]y =30 -5[/tex]

[tex]y =25[/tex]

Hence, the shorter piece is 15 feet, while the longer piece is 25 feet

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Equations of Exponential Functions

The population, P, of six towns with time t in years are given by the following exponential equations:

(i) P = 1000(1.08)t (ii) P = 600(1.12)t
(iii) P = 2500(0.9)t (iv) P = 1200(1.185)t
(v) P = 800(0.78)t (vi) 2000(0.99)t

Which town is growing the fastest?

a. i c. iv
b. iii d. vi

Please select the best answer from the choices provided

Answers

Answer:

C. iv

Step-by-step explanation:

I calculated it logically

simplify expression: 3f+8(2m-7)

Answers

After simplification we got the above expression in the form 3f + 16m -56

What is simplify in mathematics?

The word "simplify" implies to turn something in a simpler form.

In mathematics, simplify an expression means write an expression in such a way that is comparatively less complicated than before. The main purpose of simplify an expression is to make it easy to solve as well as calculation.

How to simplify the above expression?

3f + 8(2m-7)

we rearrange the expression by removing the parenthesis.

we remove the parenthesis by multiplying the factors.

3f + 8 × 2m - 8 × 7

3f + 16m -56

the above expression has no like terms to add or subtract so it is kept in this form.

Hence, 3f + 16m -56 is the simpler form.

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X
Let f(x) = 3x2 - 6x + 2. Find f(2)
A
B
10
16
C 12
E
D 2
8

Answers

On solving the provided question, we can say that -  f(x) = 3x2 - 6x + 2, and the value of the equation f(x) = +2

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

f(x) = 3x2 - 6x + 2

x = 1

f(x) = +2

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Write an equation of a line

Answers

Answer:

Step-by-step explanation:

Steps to find the equation of a line from two points:

   1) Find the slope using the slope formula. ...

   2) Use the slope and one of the points to solve for the y-intercept (b). ...

   3) Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = MX + b) to get the equation for the line.

2. Two sidewalks in a park are represented by lines on a coordinate grid.
Sidewalk 1: 3x + 3y = 6
Sidewalk 2: y = x + 6
(a) Find the solution to the system of equations by using the substitution method.
(b) Show ALL of your steps.

Answers

Answer: x is -2 and y is 4 if needed (-2,4) is the origin form

Step-by-step explanation: first we take side walk one we subtract -3x on both sides then you get 3y=-3x+6 divide both by 3 you get y=-x+2 finally we can substitute. substitute y for x+6 you get x+6 = -x+2 do the inverse of -x on both sides you get 2x+6=2 do the inverse of 6 on both sides you get 2x=-4 divide 2 on both sides you get x=-2. substitute x of  y=-x+2 to y=-(-2)+2 mult  -1 x -2 is 2, 2+2 is four so y= 4 put that together x is -2 and y is 4

I NEED HELP. PLEASE ANSWER QUICK. BRAINLIEST WILL BE GIVEN. THERE IS A BOT AUTO ANSWERING. PLEASE ANSWER ANYWAY

Answers

Answer:

The answer is A

Step-by-step explanation:

The shape is a rhombus when plotted on a quardanent plane. The shape is similar to a diamond.

-√8 - √54 + 2√6 how to simplify

Answers

Answer:

6√2

Step-by-step explanation:

-√2×2×2 -√2×3×3×3 + 2√3×3

-2√2 - 3✓6 + 2×3

-2√2 - 3√2×2 +2 + 6

6√2

cos(x)<.025
cos^2(x)<.25
sin(x)<.25
sin^2(x)<.25

PLZ HELP

Answers

Step-by-step explanation:

First

since its follow the pattern Intercept Max... Intercept Min...

Its a positive sine graph

Asin(B(x-0))<0.25

A=1

B=2π/period

period From the graph = 2π

B=2π/2π

B=1

Sin(x)<0.25

I'd go with C.

What is the vertex form to standard form?

Answers

Answer:

[tex]y=x^2+2x-2[/tex]

Step-by-step explanation:

Vertex Form:

Vertex form is expressed as: [tex]y=a(x-h)^2+k[/tex], and is super useful when analyzing the vertex, which is given to be (h, k).

Standard Form:

Standard form is expressed as: [tex]y=ax^2+bx+c[/tex], and is also useful in certain cases.

Converting Vertex to Standard Form:

When converting standard to vertex we have to complete the square to rewrite the equation using a perfect square binomial, which is what really distinguishes the two. Now when we want to convert back into standard form, we simply need to get rid of this perfect square binomial, which we can do by expanding out the perfect square binomial into a trinomial.

So in other words, we want to multiply out the following: [tex](x+1)(x+1)[/tex], which becomes: [tex]x^2+2x+1[/tex] which you can solve by using polynomial multiplication, which is essentially just extending the logic of the distributive property. In general when given two polynomials to multiply, you look at one polynomial, and then multiply it by each term in the other polynomial, now repeat this for each term in the polynomial you were initially looking at. I'll provide a picture to better illustrate this. You can use FOIL if it helps you with multiplying binomials, but remembering how to generally use it, will help you when multiplying polynomials in general.

Now that we've multiplied out the expression, we can substitute it into the equation: [tex]y=x^2+2x+1-3[/tex], now just combine the constants: [tex]y=x^2+2x-2[/tex], and now you've converted it into standard form!

determine the area of the parallelogram below

Answers

Answer:

A= BH

A=8cm ×2.2 cm

A= 17.6cm²

Please help me solve it

Answers

Step-by-step explanation:

D

120 students appeared in an examination. how many have failed if 2/3 of them have passed​

Answers

Answer:

40 failed

Step-by-step explanation:

2/3 of 120 is 80, so you subtract the 80 who passed from the 120 total to get 40 students who failed

Answer:

Step-by-step explanation:

If [tex]\frac{2}{3}[/tex] passed the exam then:

[tex]\frac{3}{3} -\frac{2}{3} = \frac{1}{3}[/tex] failed the exam

now to find the number which failed we multiply:

[tex]\frac{1}{3} \cdot 120 = 40[/tex] and 40 is our answer

Makayla has 2 yards of ribbon to use for a craft project she cuts the ribbon into pieces that are 1/4 yard long how many pieces of ribbon does Makayla have

Answers

Answer:

8

Step-by-step explanation:

2/ 1/4 = 8

Answer: 8

Step-by-step explanation: 2 / 1/4 = 8

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