Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given. find p(x y>2)
Answers
Answer:
[tex]P(Y = 3 | X = 2) = 0.2857[/tex]
Step-by-step explanation:
Given
The question has missing details, and it is poorly formatted.
See attachment for complete question
From the attachment, we have:
Calculate: [tex]P(Y = 3 | X = 2)[/tex]
This is calculated as:
[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]
From the attached image, we have:
[tex]P(X = 2 | Y = 3) = 0.10[/tex] i.e. column x = 2 and row y = 3
[tex]P(X = 2) = 0.05 + 0.10 + 0.20[/tex] --- i.e. we add all columns of x = 2
This gives:
[tex]P(X = 2) = 0.35[/tex]
So, we have:
[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]
[tex]P(Y = 3 | X = 2) = \frac{0.10}{0.35}[/tex]
[tex]P(Y = 3 | X = 2) = 0.2857[/tex]
Related Questions
The length and width of a rectangle are 19.2 cm and 12.4cm respectively. Find the angle between a diagonal and the shorter side of the rectangle.
Answers
9514 1404 393
Answer:
57.1°
Step-by-step explanation:
The sides of the rectangle are adjacent and opposite the angle, so the measure is ...
α = arctan(opposite/adjacent) = arctan(19.2/12.4) ≈ 57.1°
The angle between the diagonal and the short side is about 57.1°.
Look at the pic smart people
Answers
Answer is 8/10..............
Okay here we go.
They're in different denominators, so we convert 1/5 to 2/10 by multiplying both numerator and denominator by 2.
1 x 2= 2
5 x 2= 10
So now that 1/5 is equivalent is 2/10, we just add.
2/10 + 6/10= ?
For adding fractions, only add the numerators.
2+6=8 --> 8/10
2/10 + 6/10= 8/10
And so there you go.
1/5 + 6/10= 8/10
Hope this helps!
An expression is shown.
14a + 7 + 5b + 2a + 10b
What are the coefficient(s) of the expression?
Group of answer choices
14, 7, 5, 2, 10
14a, 5b, 2a, 10b
14, 5, 2, 10
a, b
7
Answers
Answer:
C
Step-by-step explanation:
:)
Help please asap will mark brainliest !
Answers
Answer:
The answer for G and K is 103
The answer for K and J is 77
The answer for I and H is 43
Find the value of x (only answer if you're sure)
Answers
Answer:
x = 5.4
Step-by-step explanation:
Ratios:
[tex]\frac{x}{3} =\frac{7.2}{4} \\\\4x=21.6\\x=5.4[/tex]
HELP!! What do I do ?
Answers
The volumes of two bodies are measured to be
V₁ = (10.2 ± 0.02) cm³ and V₂ = (6.4 ± 0.01) cm³. Calculate sum and difference in
volumes with error limits.
Answers
Answer:
Sum of volumes = (16.6 ± 0.03) cm³
Difference of volumes = (3.8 ± 0.03) cm³
Step-by-step explanation:
Solution
V₁ = (10.2 ± 0.02) cm³ and V₂ = (6.4 ± 0.01) cm³.
∆V = ± (∆V₁ + ∆V₂)
= ± (0.02 + 0.01) cm³
= ± 0.03 cm³
V₁ + V₂ = (10.2 + 6.4) cm³ = 16.6 cm³ and
V₁ - V₂ = (10.2 - 6.4) cm³ = 3.8 cm³
Hence, sum of volumes = (16.6 ± 0.03) cm³
and difference of volumes = (3.8 ± 0.03) cm³
-TheUnknownScientist
Step-by-step explanation:
sum = (16.6 ± 0.03) cm³
difference = (3.8 ± 0.03) cm³
Question 9
A room is 16 feet in length. The ratio of the width to the length is 3:4.
What is the width in feet?
Answers
Because 16/4 is 4
Does anyone know the answer ? :(
Answers
Answer:
If it a khan you can go take a hint and try to find it
What is 5/6 of 1/2 on a number line
Answers
Answer:
5/12
Step-by-step explanation:
5/6 of 1/2 is basically 5/6 times 1/12 which is 5/12.
A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?
A. 5 cm
ОО
B. 10 cm
OC. 20 cm
OD. 40 cm
E. 91 cm
Answers
Bianca bought a pack of rechargeable batteries for
$9.99. If the sales tax on the batteries is 3% and Bianca
pays with $11 cash, how much change will she get back?
Answers
hi
price all taxes included is : 9.99 + 0.03*9.99 ≈ 10.29
So change is : 11 - 10.29 = 0.71
Answer:
acualy you would divide 9.99 by 3
Find the equation of the line shown. Enter yoir answwr in slope intercept form
Answers
Answer:
y = x
Step-by-step explanation:
The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.
Hope this helps!
-Luna
pick the correct inequality
Answers
Answer:
d
Step-by-step explanation:
the answer is d because it's a closed circle
PLEASE HELP AGAIN. IM TIMES
Answers
Answer:
u didnt put any questions
Step-by-step explanation:
1) rotation 180° about the origin
Answers
Answer:
Q (0,1) H (3,5) J (5,3)
Step-by-step explanation:
Anytime you rotate a shape around the origin, the numbers in the coordinates become their opposites.
(x,y) becomes (-x,-y).
So, (0, -1) becomes (0,1).
(-3,-5) becomes (3,5).
And, (-5, -3) becomes (5,3).
Answer: Here you go, hope this helps.
Step-by-step explanation:
WILL MARK BRSINLIEST ANSWER IF GOTTEN RIGHT
Answers
Answer:
16.8km
Step-by-step explanation:
Arc length = 2πr(θ/360)
=2π(8)(120/360)
=16.7551608191
≈16.8km
Answer:
16.8 km
Step-by-step explanation:
Arc length = 2πr (θ/360)
So plug in the values:
2π(8)(120/360) = 16π(1/3) = 16π/3
16.75516 ——————> 16.8 km
A group of Americans participated in a study that involved taking their temperatures during exercise in extreme heat. The participants had a mean body temperature of 104^{\circ} \text{F}104 ∘ F104, degrees, start text, F, end text and a standard deviation of 2^{\circ} \text{F}2 ∘ F2, degrees, start text, F, end text. Doctors analyzing the results prefer to work in degrees Celsius, so they convert the data by applying the formula below to each data point: ^{\circ}\text{C}=\dfrac59(^{\circ}\text{F}-32) ∘ C= 9 5 ( ∘ F−32)degrees, start text, C, end text, equals, start fraction, 5, divided by, 9, end fraction, left parenthesis, degrees, start text, F, end text, minus, 32, right parenthesis If each temperature is converted to degrees Celsius, what will be the mean and standard deviation of the distribution of new temperatures?
Answers
Answer:
the mean is 40 degrees celcius
standar deviaton is 1.11 degrees Celsius
Step-by-step explanation
khan academy
The temperature values of the participants in celcius are :
Mean = 40°CStandard deviation = - 16.67°CInformation about body temperature :
Mean = 104°F
Standard deviation = 2°F
To convert to Celsius temperature :
°C = 5/9(°F - 32)
To temperature values in °C :
Mean temperature :
°C = 5/9(104 - 32)
°C = 40°C
Standard deviation of temperature :
°C = 5/9(2 - 32)
°C = - 16.67°C
Hence, the temperature values in Celcius are : 40°C and - 16.67°C
Learn more : https://brainly.com/question/18112348
Find the line of symmetry.
f(x) = -2x2 + 12x - 20
Answers
Hope this helps :)
Find the general term of series 1/2-1+2-4+
Answers
For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number.
A guy wire for a tree is 14 feet long. Making a 41° angle with the ground, how far is the base of the tree from the stake anchoring the wire?
Answers
You want the length of the base when the side opposite the 41 degree angle
is the tree.
You have an angle and the hypotenuse; the base is the side adjacent to the
41 degree angle.
EQUATION:
cos(41) = adjacent/hypotenuse = x/14
14cos(41) = x
x = 10.57 ft
-9,7 with a rotation of 180°
Answers
Answer:
(9,-7)
Step-by-step explanation:
Anytime you rotate a coordinate point around the coordinate plane at 180°, each coordinate changes from (x,y) to '(-x, -y). This means they will become the opposite of their original number.
32 / (-4) . 3 - (-1)
Answers
Answer:
-32
Explanation:
32/ -4 = -8
3 - -1 = 3+1 = 4
-8x4 = -32
Which statements are true about trapezoid ABCD and
its translated image, ABCD? Select two options
3
2
The role for the translation can be written as I
1
3
The rule for the translation can be written as
The rule for the translation can be written as
The rule for the translation can be written as
Trapezoid ABC has been translated 3 units to the
night and 1 on Up
farandi
Answers
Answer:
The rule for the translations can be written as T -3,1(x,y).
The rule for translations can be written as (x,y)➡️(x-3,y+1).
Step-by-step explanation:
Answer:
A, and D
Step-by-step explanation:
Took Unit test edge 2022
Find the area of each figure. Round to the nearest tenth if necessary
Answers
Answer:
c. 952.4 in²
Step-by-step explanation:
The figure can be decomposed into a square, a trapezoid and a semicircle
Find the area of each to determine the area of the figure.
✔️Area of square = s²
s = 13 in
Area of square = 13² = 169 in²
✔️Area of trapezoid = ½(a + b)h
a = 13 in
b = 30 in
h = 20 in
Area of trapezoid = ½(13 + 30)20
= 430 in²
✔️Area of semicircle = ½(πr²)
r = ½(30) = 15 in
Area = ½(π*15²)
Area ≈ 353.4 in²
✅Area of the figure = 169 + 430 + 353.4
= 952.4 in²
Raffle tickets cost $36 for 3 tickets.
a. What is the price of 1 ticket?
Answers
The price of 1 raffle ticket is $12
because
[tex]36 \div 3 = 12[/tex]
free 20 points. just answer this question please XD.
what is m<5 if m<2 is 45 degrees and m<3 is 60 degrees?
Answers
Answer:
Ty for the points.
m<5 is 90 degrees.
Answer:
90
Step-by-step explanation:
Beginning at 8:30 A.M., tours of the National Capitol and
the White House begin at a tour agency. Tours for the
National Capitol leave every 15 minutes. Tours for the
White House leave every 20 minutes.
a) How often do the tours leave at the same time?
b) When is the next time the two tours will leave at
the same time?
Answers
Answer:
Step-by-step explanation:
if both tours start at 8:30 A.M, the NC (National Capitol) 8:45, and the WH (White House) leaves at 8:50.
NC
08:45 08:50
09:00 09:10
09:15 09:30
09:30 09:50
09:45 10:10
10:00 10:30
10:15 10:50
10:30 11:10
10:45
11:00
Both tours leave at 9:30, and then away at 10:30.
They leave at the same time every hour.
what is BD?
please help i can’t fail another test
Answers
Answer:
C. 8
Step-by-step explanation:
BD is the altitude of the right triangle.
Apply the altitude theorem of a triangle to find BD. Based on the theorem, thus:
h = √(xy)
Where,
h = BD
x = 16
y = 4
Plug in the values
BD = √(16*4)
BD = √64
BD = 8
Holly has4/6quart of potato salad. She gives2/6
quart to a friend,
How much potato salad does she have left?
Answers
Answer:
Hi! The answer to your question is [tex]1/3[/tex]
Step-by-step explanation:
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☆Brainliest is greatly appreciated!☆
Stay Safe!!!
Hope this helps!!
- Brooklynn Deka