Question

In: Statistics and Probability

The number of pizzas consumed per month by university students is normally distributed with a mean...

The number of pizzas consumed per month by university students is normally distributed with a mean of 6 and a standard deviation of 5.

A. What proportion of students consume more than 8 pizzas per month?

Probability =

B. What is the probability that in a random sample of size 11, a total of more than 55 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 11 students?)

Probability =

Solutions

Expert Solution

µ = 6

sd = 5

a)

                         

                          = P(Z > 0.4)

                          =

b) 55/11 = 5

                      

                       = P(Z > 0.66)

                       = 0.2546


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