Question: 67% of LaGuardia students are female. A random sample of 6 students is to be selected. Let

Question: 67% of LaGuardia students are female. A random sample of 6 students is to be selected. Let the random variable X be the number of female students in a sample.a.) Explain why X is a binomial random variable. (Find the number of trials n, specify “success” and “Failure” outcomes, and identify p and q, probabilities of “success” and “failure” respectively.b.) What is the probability that out of 6 randomly selected students at most 2 are male?c.) What is the probability that out of 6 randomly selected students exactly 4 are female?d.) find the average number of female students per sample if a large number of random samples of 20 students were selected.