Statistics from a college's climate center indicate that the city the college is in gets an average of 35.4" of rain each year, with a standard deviation of 4.1". Assume that a Normal model applies. Complete parts a through d below.
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Part 1
a) During what percentage of years does this city get more than 39" of rain?
The percentage of years with more than 39" of rain is
enter your response here%.
(Round to two decimal places as needed.)
Part 2
b) Less than how much rain falls in the driest 25% of all years?
The driest 25% of all years get at most
enter your response here" of rain.
(Round to one decimal place as needed.)
Part 3
c) A university student is in this city for 7 years. Let y overbar represent the mean amount of rain for those 7 years. Describe the sampling distribution model of this sample mean, y overbar. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A.
A Normal model with mean
enter your response here" and standard deviation
enter your response here"
(Round to two decimal places as needed.)
B.
A Binomial model with
enter your response here trials and a probability of success of
enter your response here
(Type integers or decimals rounded to two decimal places as needed.)
C.
There is no model that fits this distribution.
Part 4
d) What's the probability that those 7 years average less than 30" of rain?
The probability that those 7 years average less than 30" of rain is
enter your response here.
(Round to four decimal places as needed.)