For a statistics project, Zenon decided to investigate if students at his school prefer name-brand potato chips to store-brand potato chips. He prepared two identical bowls of chips, filling one with name brand chips and the other with storebrand chips. Then, he selected a random sample of 30 students, had each student try both types of chips in random order, and recorded which type of chip each student preferred. Assume that 50% of students at Zenon's school prefer the name-brand chips Let X = the number of students in the sample that prefer the name-brand chips. a. Calculate the mean and standard deviation of the sampling distribution of X
b. Interpret the standard deviation in context.
c. Justify that the distribution of X is approximately normal.
d. Calculate the probability that 19 or more of the students will prefer the name-brand.
e. Is this an unusual probability?
please need help!​