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48% of all violent felons in the prison system are repeat offenders. If 45 violent felons...

48% of all violent felons in the prison system are repeat offenders. If 45 violent felons are randomly selected, find the probability that

a. Exactly 20 of them are repeat offenders. _____

b. At most 21 of them are repeat offenders. ______

c. At least 22 of them are repeat offenders. _____

d. Between 19 and 23 (including 19 and 23) of them are repeat offenders._____

(Discrete probability and the binomial distribution)

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