The probability distribution below is for the random variable XXthe number of credits taken by a randomly selected first-year student at a large state university
Credits 14
17
Probability 0.05 0.65
0.10
15
16
0.20
(a) Is X a discrete or a continuous random variable? Explain
(b) Show that the probability distribution of X is valid
(c) Make a histogram of the probability distribution. Describe its shape.
(d) Compute and interpret the expected value of X Show work,
(e) The standard deviation is 0.726. Interpret this value in the context of the problem.
(Express the event taking at least 16 credits in terms of X and find its probability