1. Answer the following:
(A) Find the binomial probability P(x = 6), where n = 15 and p = 0.50.
(B) Set up, without solving, the binomial probability P(x is at most 6) using probability notation.
(C) How would you find the normal approximation to the binomial probability P(x = 6) in part A? Please show how you would calculate µ and σ in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the calculations.
2 . A researcher claims that the average age of people who buy lottery tickets is 64. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 9. At a = 0.05 is there enough evidence to reject the researcher’s claim? Show all work.
49
63
90
52
22
80
72
56
82
56
24
46
70
74
70
61
65
71
39
74
79
76
71
49
62
68
71
67
69
45
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