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1) The annual rainfall in a region has a distribution with a mean rainfall of 100 inches and a standard deviation of 12 inches. What is the approximate probability that the mean annual rainfall during...

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1) The annual rainfall in a region has a distribution with a mean rainfall of 100 inches and a standard deviation of 12 inches. What is the approximate probability that the mean annual rainfall during 36 randomly picked years will exceed 103.8 inches?
2) It is felt that 80 percent of the population of the United States favors a reduction in the federal budget deficit. What is the approximate probability that in a random sample of 64 individuals interviewed, less than 70 percent will favor a reduction of the deficit?
3) For your initial post, explain the difference between a population characteristic and a statistic.Â  What is the difference between the sample mean and the population mean?Â  What is the difference between the sample standard deviation and the population standard deviation? Do your statements have anything in common?
Answered 1 days After Apr 13, 2022

Solution

Parvesh answered on Apr 14 2022
1) The annual rain fall in a region has a distribution with a mean rain fall of 100 inches and a standard deviation of 12 inches.What is the approximate probability that the mean annual rain fall during 36 randomly picked yearswill exceed 103.8 inches?
Solution: Here,
and
n=36
Let X be random variable for mean rain falls. we have to find P(X>103.8)

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2) It is felt that 80 percent of the population of the United States favors reduction in the federal budget deficit. What is the approximate probability that in a random sample of 64 individuals interviewed, less than 70 percent will favor a reduction of the deficit?
Solution:
Mean=p=0.80,...
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