Q1) Certain airplane has 2 independent alternators to give electrical power. Probability that a given alternator will fail on 1-hour flight is .02. Determine the probability that (a) both will fail? (b) Neither will fail? (c) One or other will fail? Illustrate all steps carefully.

Q2) Given level of confidence of 99% and population standard deviation of 10, what other information is essential:

a) To determine the Maximum Error of Estimate (E)?

b) To determine the sample size (n)?

c) Given above confidence level and population standard deviation, determine the Maximum Error of Estimate (E) if n = 45.  Illustrate all your calculations.  Illustrate all work.

d) For this same sample of n = 45, find out the width of confidence interval around population mean?  Illustrate all work.

e) Given this same confidence level and standard deviation, determine n if E = 3.5. (Always round to nearest whole person.)