Question

# Pepperoni Appreciation: Tony's Pizza Company finds that 60% of the general population likes pepperoni pizza. I...

Pepperoni Appreciation: Tony's Pizza Company finds that 60% of the general population likes pepperoni pizza. I buy pizza for 55 of my intro stats students and it turns out that only 26 of these students like pepperoni pizza.

(a) Assume the 60% value is accurate for all college students. In all random samples of 55 college students, what is the mean and standard deviation for the number of those who like pepperoni pizza? Round both answers to 1 decimal place.

 μ = σ =

(b) Convert the 26 out 55 students in my class to a z-score. Round your answer to 2 decimal places.
z =

(c) Using the normal approximation to the binomial distribution, what is the probability of getting 26 or fewer students who like pepperoni pizza in a randomly selected group of 55 students? Round your answer to 4 decimal places.
P(x ≤ 26) =

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