[2](10) In each of the following situations, is it reasonable to use a binomial distribution for the random variable X? Give reasons for your response in each case. If a binomial distribution is applicable, what are the values of n and p? a) In a random sample of students in a fitness study, & is the mean systolic blood pressure of the sample. b) A poll of 200 college students asks whether or not you are usually irritable in the morning. X is the number who reply that they are usually irritable in the morning. c) The YSORT method of gender selection, developed by the Genentics & IVF Institute, was designed to increase the likelihood that a baby will be a boy. When 291 couples use the YSORT method and give birth to 291 babies. X is the weight of each baby. d) You toss a fair coin until a head appears. X is the count of the number of tosses that you make. e) Most calls made at random by sample surveys don't succeed in talking with a live person. Of calls to New York City, only one-twelfth succeed. A survey calls 500 randomly selected numbers in New York City. X is the number of times that alive person is reached