In essence a specific coin produced by this machine will have a fixed probability T=p of giving heads, but you do not know initially what that probability is. A coin produced by this machine is selected and tossed repeatedly, with successive tosses assumed independent.
a. Find the probability that the first coin toss results in heads.
b. Given that the first coin toss resulted in heads, find the conditional PDF of T.
c. Given that the first coin toss resulted in heads, find the conditional probability of heads on the second toss.

Powerful women's group has claimed that men and women differ in attitudes about sexual discrimination. a group of 50 men (group 1) and 40 women (group 2) were asked if they thought sexual discrimination is a problem in the united states. of those sampled, 11 of the men and 19 of the women did believe that sexual discrimination is a problem. if the p-value turns out to be 0.035 (which is not the real value in this data set), then at = 0.05, you should fail to reject h0. at = 0.04, you should reject h0. at = 0.03, you should reject h0. none of these would be a correct statement.