A sample of size 5 will be drawn from a normal population with mean 61 and standard deviation 13.

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A sample of size 5 will be drawn from a normal population with mean 61 and standard deviation 13.
A sample of size 5 will be drawn from a normal population with mean 61 and standard deviation 13.
(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 approprlate find the 81 percentile of x. Round the answer to two decimal places.
O It is appropriate to use the normal distribution to find probabilities for x.
The probability that x will be between 51 and 71 is
The 81st
percentile of x is
O It is not appropriate to use the normal distribution to find probabilities for x.
Transcribed Image Text:A sample of size 5 will be drawn from a normal population with mean 61 and standard deviation 13. (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 approprlate find the 81 percentile of x. Round the answer to two decimal places. O It is appropriate to use the normal distribution to find probabilities for x. The probability that x will be between 51 and 71 is The 81st percentile of x is O It is not appropriate to use the normal distribution to find probabilities for x.
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