For the following problems, write down what calculator function you are using and also the values that you are typing into the calculator function. Drawing the normal curve is optional. Suppose there is a random variable with a mean of 85 and a standard deviation of 17. Find the area under the normal curve that is (round your final answers to three decimal answers): a) to the right of 72. b) c) to the left of 93. between 87 and 105.
For the following problems, write down what calculator function you are using and also the values that you are typing into the calculator function. Drawing the normal curve is optional. Suppose there is a random variable with a mean of 85 and a standard deviation of 17. Find the area under the normal curve that is (round your final answers to three decimal answers): a) to the right of 72. b) c) to the left of 93. between 87 and 105.
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Transcribed Image Text:Section 7.2: Applications of the Normal Distribution
For the following problems, write down what calculator function you are using and also the values that you are typing
into the calculator function. Drawing the normal curve is optional.
Suppose there is a random variable with a mean of 85 and a standard deviation of 17. Find the area under the
normal curve that is (round your final answers to three decimal answers):
a) to the right of 72.
b)
c) to the left of 93.
between 87 and 105.
The heights of five-year old boys are normally distributed with a mean of 43 inches and a standard deviation of
1.9 inches. Find the heights that are at the following percentiles (round your answers to the first decimal place):
a) What height would be at the 60th percentile?
b) What height would be at the 35th percentile?
c) What height would be at the 90th percentile?
The commute time for Cypress College students who drive from their home to the college follows a normal
distribution with a mean of 26 minutes and a standard deviation of 8 minutes.
a) What percent of students have a commute time that is longer than 35 minutes? (Use a whole number as
your answer in percent form, ex: 27%.)
b)
What is the probability that it will take a student more than 40 minutes to drive to school? (Round your
answer to three decimal places.)
c)
What percent of students have a commute time between 20 and 30 minutes? (Use a whole number as
your answer in percent form, ex: 27%.)
d)
If it takes a student 15 minutes to get to school, what would be the percentile ranking for this student's
commute time? (Put your answer in percentile form, ex: 36th Percentile.)
e) Determine the two commute times that will make up the middle 95% of student commute
times. (Round your answers to the first decimal place.)
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