For males born in upstate NY, the gestation times are normally distributed with a mean of 39 weeks and a standard deviation of 2 weeks. Generate the normal distribution and the cumulative distribution for the gestation times in this region, including at least 3 standard deviations on each side of the mean. Graph both of the distribution. For a randomly selected male born in upstate NY find the probability that a) the gestation time was more than 40 weeks. b) the gestation time was less than or equal to 36 weeks. c) the gestation time differs from the mean by more than 3 weeks. d) of 100 boys born in upstate NY how many would you expect to have a gestation period more than 40 weeks?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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For males born in upstate NY, the gestation times are normally distributed with a mean of 39
weeks and a standard deviation of 2 weeks. Generate the normal distribution and the cumulative
distribution for the gestation times in this region, including at least 3 standard deviations on each
side of the mean. Graph both of the distribution.
For a randomly selected male born in upstate NY find the probability that
a) the gestation time was more than 40 weeks.
b) the gestation time was less than or equal to 36 weeks.
c) the gestation time differs from the mean by more than 3 weeks.
d) of 100 boys born in upstate NY how many would you expect to have a gestation period more
than 40 weeks?
Transcribed Image Text:For males born in upstate NY, the gestation times are normally distributed with a mean of 39 weeks and a standard deviation of 2 weeks. Generate the normal distribution and the cumulative distribution for the gestation times in this region, including at least 3 standard deviations on each side of the mean. Graph both of the distribution. For a randomly selected male born in upstate NY find the probability that a) the gestation time was more than 40 weeks. b) the gestation time was less than or equal to 36 weeks. c) the gestation time differs from the mean by more than 3 weeks. d) of 100 boys born in upstate NY how many would you expect to have a gestation period more than 40 weeks?
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