Question

If two events A and B are such that P(A) = 2/3, P(B|A) = 1/2 and P(A') = . Use this information to answer questions 5-11. 5. Find P(A|B'). 6. Calculate P(A|B). 7. Calculate P(A'|B). 8. Calculate P(A'|B'). 9. Find P(A ∩ B'). 10. Find P(A' ∩ B). 11. Find P(A' ∩ B'). 12. Suppose that A and B are two events such that P(A) + P(B) < 1. What is the smallest possible value for P(A ∩ B) ? Discrete random variable x the cumulative distribution function is given by F(x) = kx, x = 1,2,3. Use this information to answer questions 13-14. 13. Find the value of the constant k. 14. Find P(x < 3). 15. A and B are two events such that P(A) = 2/7 and P(A ∩ B) = 1/5. If A and B are independent, find P(A ∪ B). Page 1 of 2 The probability density function for a continuous random variable ξ f(x) = a + bx^2 0 <= x <= 1 0 otherwise where a, b are some constants. Given E(x) = 3/5. Use this information to answer questions 16-17. 16. Find a, b. 17. Find Var(x).

Name: if two events a and b are such that pa 23 pba 12 and pa use this information to answer questions 5 11 5 find pab 6 calculate pab 7 calculate pab 8 calculate pab 9 find pa b 10 find pa b 11 f 51356
Uploaded: 2024-03-10T03:01:31-08:00
Duration: 7 min 31 s
Channel: William Fairburn
Description: if two events a and b are such that pa 23 pba 12 and pa use this information to answer questions 5 11 5 find pab 6 calculate pab 7 calculate pab 8 calculate pab 9 find pa b 10 find pa b 11 f 51356

          If two events A and B are such that P(A) = 2/3, P(B|A) = 1/2 and P(A') = . Use this information to answer questions 5-11.
5. Find P(A|B').
6. Calculate P(A|B).
7. Calculate P(A'|B).
8. Calculate P(A'|B').
9. Find P(A ∩ B').
10. Find P(A' ∩ B).
11. Find P(A' ∩ B').
12. Suppose that A and B are two events such that P(A) + P(B) < 1. What is the smallest possible value for P(A ∩ B) ?
Discrete random variable x the cumulative distribution function is given by F(x) = kx, x = 1,2,3. Use this information to answer questions 13-14.
13. Find the value of the constant k.
14. Find P(x < 3).
15. A and B are two events such that P(A) = 2/7 and P(A ∩ B) = 1/5. If A and B are independent, find P(A ∪ B).
Page 1 of 2
The probability density function for a continuous random variable ξ
f(x) = a + bx^2
0 <= x <= 1
0 otherwise
where a, b are some constants. Given E(x) = 3/5. Use this information to answer questions 16-17.
16. Find a, b.
17. Find Var(x).

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