need help with these 5 questions

2. The probability distribution below is for the random variable X = the number of credits taken by a randomly selected rst-year student at a large state university. Credits 14 15 1B 17 Probability 0.05 0.65 0.20 0.10 (a) Is X a discrete or a continuous random variable? Explain. (b) Show that the probability distribution ofX is valid. (c) Make a histogram of the probability distribution. Describe its shape. (d) Compute and interpret the expected value of X. Show work. (6) The standard deviation is 6.43. Interpret this value in the context of the