5. Suppose that the commuting time on a particular train is uniformly distributed between 37 and 47 minutes. Bold a. What is the probability that the commuting time will be less than 39 minutes? Bold b. What is the probability that the commuting time will be between 41 and 45 minutes? Bold c. What is the probability that the commuting time will be greater than 39 minutes? Bold d. What are the mean and standard deviation of the commutingtime?

a. The probability that the commuting time will be less than 39 minutes is ___________(Type an integer or adecimal.)

b. The probability that the commuting time will be between 41 and 45 minutes is ___________(Type an integer or adecimal.)

c. The probability that the commuting time will be greater than 39 is ____________(Type an integer or adecimal.)

d. The mean of the given uniform distribution is =_________________. (Type an integer or adecimal.)

The standard deviation of the given uniform distribution is =________________ (Round to four decimal places asneeded.)