QUESTION 12 A random variable X has the following distribution: X -1 0 1 P(X=x) 3 .5 .2 Let Y=X². Find the expected value of random variable Y. .38 .6 0.5 4

Question 6: If the random variable X has a normal distribution with mean 40 and std. dev. 5, calculate the following probabilities. Р(X > 43), P(X 23).

Question 30 A randomly selected realtor's monthly commission (in thousands) can be estimated by a random variable that follows F-distribution with parameters (14,4). Let X be the monthly commission of a randomly selected realtor. 1. Describe the distribution of X: (dfn= 14 2. Use the random variable notation to express symbolically each of the following: P(X<7.9) The probability of an event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.9. X-F X<7.1 An event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.1. P(X<13.1)=0.99 The probability of an event in which the monthly commission (in thousands) of a randomly selected realtor is less than 13.1 is equal to 0.99. ii. more than 7.9: 3. Use technology to find the probability that the monthly commission (in thousands) of a randomly selected realtor is: i. less than 7.1: iii. between 0.4 and 8: iv. more than 72.4: v. less than 98.3: 4. Find the 11-th…

QUESTION 12 A random variable X has the following distribution: X -1 0 1 P(X=x) 3 .5 .2 Let Y=X². Find the expected value of random variable Y. .38 .6 0.5 4

QUESTION 1 Let X be a normal random variable with mean u = 68 and standard deviation o =11. What is the probability that Xwill be (a). more than 79? (b). between 57 and 79? (c), less than 46?

QUESTION 12 A random variable X has the following distribution: X -1 0 1 P(X=x) 3 .5 .2 Let Y=X². Find the expected value of random variable Y. .38 .6 0.5 4

11.