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In a recent​ study, it was found that 59​% of college students have pulled an all...

In a recent​ study, it was found that 59​% of college students have pulled an all nighter at least once in the past year to complete work for their courses. We believe that this follows a binomial distribution. Complete parts ​(a) through ​(e) below based on a random sample of 12 college students

​a) What is the probability that exactly 6 of the college students pulled an all​ nighter?

The probability is

​(Round to four decimal​ places.)

​b) What is the probability that 44 of the college students did not pull an all​ nighter?

The probability is.

​(Round to four decimal​ places.)

​c) What is the probability that less than 6 college students pulled an all nighter​?

The probability is.

​(Round to four decimal​ places.)

​d) What is the probability that 3 or more college students pulled an all nighter​?

The probability is

​(Round to four decimal​ places.)

​e) What is the expected number and standard deviation of the number of college students that pulled an all nighter if the number of college students surveyed is

178?

The expected number of college students that pulled an all nighter in this binomial sample is

The standard deviation of this binomial distribution is

​(Round to two decimal ​places.)

math   Statistics-And-Probability   
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Homework Answers

Answer #1

This is a binomial distribution question with

n = 12

p = 0.59

q = 1 - p = 0.41

where

a) x = 6

c)

d)

e) Since we know that

Please hit thumps up if the answer helped you

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