27. Let event A =5,6,7,8,9,10 and event B = 9,10,11,12,13. Draw a Venn Diagram to show A B.3

28. Let A and Bbe two events. P(A) = 0.26; P(B) = 0.37.

(more)

Find:

A. P(A B)2

B. P(A|B) =( )2

P(B)

29. If P(A) = 0.20, P(B) = 0.35 and (P AUB) = 0.51, are A and B mutually exclusive?3

30. The contents of a bottle of lotion is claimed to be 100 milliliters with a standard deviation of 4 milliliters. A random sample of 144 bottles is selected and found that 99 milliliters on average are contained in the bottles.

C. Test the hypothesis assuming alpha = 0.025.3

Caution: You must write the null hypothesis and alternate hypothesis.