Answer:
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:
[tex]P(X=x)={576\choose x}(0.08)^{x}(1-0.08)^{576-x};\ x=0,1,2,3...576[/tex]
Then expected number of students who said that chicken is their favorite food is:
[tex]E(X)=np\\\\=576\times0.08\\\\=46.08[/tex]
Thus, 46.08 students said that chicken is their favorite food.
