QUESTION 3 The probability distribution of the random variable X is given in the following table. Find E(X). 3 4 P(X =x) 0.15 0.18 0.05 0.13 0.49

QUESTION 5 The probability distribution of the random variable X is given in the following table. Find Var(X). 1 4 P(X =x) 0.18 0.23 0.11 0.27 0.21

Following is the probability distribution of a random variable that represents the number of extracurricular activities a college freshman participates in. 2 3 x 0 1 P(x) 0.04 0.14 0.46 4 0.21 0.15 (a) Find the probability that a student participates in exactly two activities. The probability that a student participates in exactly two activities is

Question 6 Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. The random variable X is defined as the number of times a graduating senior changed majors. It is shown below: 0. 1 2 3 6. 7 8. P(X = x) 0.269 0.241 0.149 0.195 0.094 0.031 0.016 0.003 0.002 a. What is the probability that a randomly selected student changed his or her major at least once? b. What is the probability that a randomly selected student changed his or her major at most twice? c. Given that a randomly selected person did change majors, what is the probability that he or she changed majors more than three times? > Next Question W ere to search 80