Question

Ture or False

1.  Expected value of the probability distribution in problem 4 is 4.5.

2. For P(A) = 0.84, P(B) = 0.76, and P(A or B) = 0.90, the P(A and B) = 0.6384.

3. Given that P(A and B) = 0.45 and P(A) = 0.9 then P(B given A) = 0.05.

4. Significance level measures how frequently the conclusion will be correct over the long haul.

Answer 1

1) Problem 4 is not given here.

2) P(A or B) is computed using law of addition as:

P(A or B) = P(A) + P(B) - P(A And B) = 0.84 + 0.76 - 0.6384 = 0.9616

But we are given that P(A or B) = 0.90

Therefore it is FALSE

3) P(B given A) is computed as:

P( B given A) = P(A and B) / P(A) = 0.45 / 0.9 = 0.5 which is not equal to 0.05 as given

Therefore it is FALSE

4) Significance level is computed as: 1 - Confidence level.

Confidence level measures how frequently the conclusion will be correct over the long haul.

Therefore it is FALSE