X 0 1 2 3 4 p(X) 0.07 0.15 0.45 0.25…

X 0 1 2 3 4 p(X) 0.07 0.15 0.45 0.25 0.08   Given the probability distribution of X, estimate the following: a. Mean (4 points) b. Variance (4 points) c. Standard deviation (2 points)

If a random variable X has the log-normal distribution with…

If a random variable X has the log-normal distribution with average of -1 and standard deviation of 2: a. Find the mean and standard deviation of X. (3 points) b. Find the probability that the random variable X will take on a value between 3.2 and 8.4 (3 points) c. Find the probability that the random variable X will take on a value greater than 5 (4 points)