Assignment #4 Question 1. IfX represents the number of heads obtained in three tosses of a fair coin, (Create the table for both parts} {3) Find the probability distribution of X. (b) Find the expected value and the standard deviation. Question 2. A school newspaper reporter decides to randomly survey 12 students to see if they will attend Tet (Vietnamese New Year} festivities this year. Based on past years, she knows that 20% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. {3) Give the distribution of X. X ~ ) {b} How many of the 12 students do we expect to attend the festivities? (_, {cl Find the probability that at most four students will attend. {d} Find the probability that more than two students will attend. {e} Find the standard deviation. Question 3. Suppose that about 80% of graduating students attend their graduation. A group of 25 graduating students is randomly chosen. {3) Give the distribution of X. X ~ ) {b} How many are expected to attend their graduation? (_, {cl Find the probability that 18 students attend. {d} Find the standard deviation