He cafeteria at Midtown Middle School surveyed 575 students about their favorite food. If 8% of the students surveyed liked chicken, how many students said that chicken is their favorite food?

46.08 students said that chicken is their favorite food.

Step-by-step explanation:

Let X denote the number of students who liked chicken.

The proportion of students who liked chicken is, p = 0.08.

About n = 576 students were surveyed about their favorite food.

Every student's answer was independent of the others.

Thus, the random variable X follows a binomial distribution with parameters n = 576 and p = 0.08.

The probability mass function of X is:

Then expected number of students who said that chicken is their favorite food is:

Thus, 46.08 students said that chicken is their favorite food.

answer: true

step-by-step explanation:

step-by-step explanation: