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Using the cumulative distribution function for the discrete random variable X given below:

a. What is the probability that X = 45?

b. What is the probability mass function for X?

c. Is your answer to part b a valid probability mass function? Justify your answer.

d. What is the probability that X is between 25 and 50?

e. What is the probability that X is 70?

f. What is the probability that X is less than 70?

g. What is the probability that X is greater than 70?

h. What is the probability that X is between 60 and 70 (inclusive)?

i. What is the expected value of X?

j. What is the standard deviation of X?

The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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