You are given the following information on events A, B, C, and D. ...

[pepyto]

You are given the following information on events A, B, C, and D. P(A) = .4 P(A  D) = .6 P(A  C) = .04 P(B) = .2 P(AB) = .3 P(A  D) = .03 P(C) = .1
 a. Compute P(D).
  b. Compute P(A  B).
  c. Compute P(AC).
  d. Compute the probability of the complement of C.
  e. Are A and B mutually exclusive? Explain your answer.
  f. Are A and B independent? Explain your answer.
  g. Are A and C mutually exclusive? Explain your answer.
  h. Are A and C independent? Explain your answer.

Question 2

In a one-tailed hypothesis test (lower tail), the test statistic is determined to be -2 . The p-value for this test is
 a. .4772.
   b. .0228.
   c. .0056.
   d. .5228.

[sierrahalpin]

Answer to Question 1

a. 0.23
b. .06
c. 0.4
d. .9
e. No, P(A  B)  0
f. No, P(A  B)  P(A)
g. No, P(A  C)  0
h. Yes, P(A  C) = P(A)

Answer to Question 2

b