The following table provides a probability distribution for the random variable y. y f(y) 2 0.30 4 0.10 7 0.20 8 0.40 (a) Compute  E(y). E(y) =  (b) Compute  Var(y)  and σ. (Round your answer for σ to two decimal places.) Var(y) =σ=

13. Answer the following for the probability distribution 1 f(x) = (2x + 1) (2x + 1) X= 0, 1, 2, 3 16 a. Find the mean and the variance. μ = b. EX²-4X+6) 0²=

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

QUESTION 6 The probability distribution of the random variable X is given in the following table. Find Var(X). X 0 1 2 3 4 P(X=x) 0.13 0.29 0.25 0.18 0.15