A sample of size  39  will be drawn from a population with mean  47  and standard deviation  11 . (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  48  and  49 . Round the answer to at least four decimal places. (c) If appropriate find the  41st  percentile of  x . Round the answer to at least two decimal places

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A sample of size 

39

 will be drawn from a population with mean 

47

 and standard deviation 

11

.

(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 

48

 and 

49

. Round the answer to at least four decimal places.

(c) If appropriate find the 

41st

 percentile of 

x

. Round the answer to at least two decimal places

 

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