Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}

Find the probability of the intersection of A and B.

Answers

Answer 1

Answer:

The required probability for the intersection of A & B = 0.25

Step-by-step explanation:

Given that:

Sample space S =  {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Also;

A = {E1, E4, E6}

B = {E2, E4, E7}

C = {E2, E3, E5, E7}

Then

P(A) = 0.05 + 0.25 + 0.10 = 0.4

P(B) = 0.20 + 0.25 + 0.05 = 0.5

P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6

The intersection of A and B are:

P(A ∩ B) = E4

P(A ∩ B) = 0.25

The required probability for the intersection of A & B = 0.25


Related Questions

Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units.​

Answers

Answer:

1.L=4;W=3;P=14

2.L=6;W=2;P=16

3.L=12;W=1;P=26

Step-by-step explanation:

because i know

Question 1 (1 point)
(07.03)
How many solutions does the equation 2y+7=5y+7-3y have?
a
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od
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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

25

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Each child would get $8.00.

Step-by-step explanation:

An equation to represent this would be:

40/5

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:





| Why do we need it? | How to use brackets | The basic rules | The complete rules | Using calculators | Quick quiz |

Why do we need an order of operations?

Example: In a room there are 2 teacher's chairs and 3 tables each with 4 chairs for the students. How many chairs are in the room?

We know there are 14, but how do we write this calculation? If we just write
2 + 3 x 4
how does a reader know whether the answer is
2 + 3 = 5, then multiply by 4 to get 20 or
3 x 4 = 12, then 2 + 12 to get 14?

0.07, 0.005, 0.75
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Answers

0.005,0.07,0.75 its the answer to your question

help needed due today

Answers

Answer:

1 1/4 inches deeper

Step-by-step explanation:

7. Which of the following illustrates the commutative property of multiplication?
(1) 5(2x) =(5-2)x
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Answers

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Answers

Answer: 17

Step-by-step explanation:

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Answers

Answer: 37 8/15 or 37.53

Step-by-step explanation:

use math_way its amazing for math problems, if i could give a rating it would definitely get 5 stars.

its a website and a app i believe it can be used for ios and android

aka apple and everything else

btw i had to add that (_) <that in the name because it wont let me say it normally

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Answers

Answer:

AB = 12

Step-by-step explanation:

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Answers

Answer:

[tex]S.E = 2[/tex]

Step-by-step explanation:

Given

[tex]Mean = 40[/tex]

[tex]s^2 = 64[/tex] ----- variance

[tex]n = 16[/tex] ------------ sample

Required

Determine the S.E

The estimated standard error (S.E) for the sample mean is calculated using the following formula:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

Where

[tex]SD = Standard\ Deviation[/tex]

[tex]SD = \sqrt {s^2}[/tex]

[tex]SD = \sqrt {64}[/tex]

[tex]SD = 8[/tex]

So:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

[tex]S.E = \frac{8}{\sqrt{16}}[/tex]

[tex]S.E = \frac{8}{4}[/tex]

[tex]S.E = 2[/tex]

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The radius of a right circular cylinder is given by √(t+6) and its height is 1/6√t, where t is time in seconds and the dimensions are in inches. Find the rate of change of the volume with respect to time. and its height is? (in3/s)

Answers

Answer:

[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]

Step-by-step explanation:

Given that:

The radius of a right cylinder is given by √(t+6) and its height is 1/6√t;

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

52 laps is the correct answer. Explaining. Don’t have to I just took the test and got a 100

A concession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. Ice cream cones were sold for $3.00, salted pretzels were sold for $2.50, and tacos were sold for $2.00. The total number of ice cream cones, salted pretzels, and tacos sold was 140, and the total amount of money from these items was $359.50. If $70.00 was made just from selling tacos, how many salted pretzels were sold?

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I’m so hungry gurlll like stop playinn

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Answers

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15?

Step-by-step explanation:

2×2+31×1+1+1+1+1+11×4×4×4×4×4×4×4×4×4

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

C.  Its graph is symmetric about the y-axis.

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If you graph on desmos it shows that it is symmetric about the y-axis :)

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Answers

1AA = 426

What an odd class...

Answer:

426 in decimal.

Step-by-step explanation:

Step 1) Count the digits in 1AA, which in this case is 3 digits, and convert each digit to Hex.

Step 2) Starting from the last number in Step 1, multiply the first number with 1, the second number with 16, and the third number with 256.

Step 3) Add up all the numbers you got in Step 2 to get the answer.

Following the instructions above, your math should look like this:

10 x 1 = 10

10 x 16 = 160

1 x 256 = 256

10 + 160 + 256 = 426

Thus, we got the following answer:

1AA = 426

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Answers

Answer:

B

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

I have high iq

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45×(−10)×45 STEP explanation ​

Answers

Answer:

-20,250

Step-by-step explanation:

PEMDAS

Multiply left to right

45 * -10 * 45

45* -10

-450 * 45 =

-20,250

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