c. Tell whether the shape of the distribution of sample proportion in this case is approximately normal. 7.37 The binomial random variable X counts the number of students with no siblings in a random sample of high school seniors, where p = 0.05 of all high school seniors have no siblings. The random variable = X/n is for the proportion of students 73 with no siblings in the sample. a. For each student in the sample, are we treating information about siblings as a quantitative or categorical variable? b. If = 0.06 in a random sample of 150 students, find X. c. If X = 8 in a random sample of 200 students, find i. d. Find the mean and standard deviation of X if the sample consists of n = 50 students. (Round to the nearest tenth.) e. Find the mean and standard deviation of if the sample consists of n = 50 students. (Round to the nearest hundredth.) f. Find the mean and standard deviation of X if the sample consists of n = 400 students. (Round to the nearest tenth.) g. Find the mean and standard deviation of if the sample consists of n = 400 students. (Round to the nearest hundredth.) h. In which case is the distribution of X approximately normalfor samples of 50, 400, both, or neither? i. For samples of 20 students, the distribution of is very right-skewed. What can we say about the distribution of x? .w OnnnpctiCUt. the proportion