A sample of size 8 will be drawn from a normal population with mean 61 and standard deviation 14.
(a) Is it appropriate to use the normal distribution to find probabilities for x?
(b) If appropriate find the probability that x will be between 51 and 71. Round the answer to four decimal places.
(c) If appropriate find the 81st percentile of x.
Round the answer to two decimal places.
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