5. Using the Princess Margaret Hospital data file on prostate cancer patients (QZ_PROS, see question 2), calculate the mean and standard deviation survival time for all the patients in the data file. Using these values for the mean and standard deviation for the population of prostate cancer patients, and assuming the distribution of survival times is normally distributed, find the probability that a random patient selected from this population will have a mean survival time of: a. Greater than 47 months. Show your work. [1 Mark] b. Less than 45 months. Show your work. [1 Mark] c. Between 42 and 50 months. Show your work. [1 Mark] d. Between 32 and 36 months. Show your work. [1 Mark] e. Greater than 50 or less than 28 months. Show your work. [1 Mark]