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Answer:
46.08 students said that chicken is their favorite food.
Step-by-step explanation:
Let <em>X </em>denote the number of students who liked chicken.
The proportion of students who liked chicken is, <em>p</em> = 0.08.
About <em>n</em> = 576 students were surveyed about their favorite food.
Every student's answer was independent of the others.
Thus, the random variable <em>X</em> follows a binomial distribution with parameters <em>n</em> = 576 and <em>p</em> = 0.08.
The probability mass function of <em>X</em> 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.