Suppose probation officer caseloads have a mean of 115 offenders and a standard deviation of 10. Assuming caseload sizes are normally distributed, determine
a. The probability that a particular probation officer has a caseload between 90 and
105.
b. The probability that a particular probation officer has a caseload larger than 135.
c. The probability that four probation officers have a caseload larger than 135.