It is said that sufferers of a cold virus experience symptoms for 7 days. However, the amount of time is actually a normally distributed random variable whose mean is 7.5 days and whose standard deviation is 1.5 days.
A) What proportion of cold sufferers experience symptoms for less than 7.5 days?
B) What proportion of cold sufferers experience symptoms for between 7.5 and 10.5 days?
C) Compute the probability of a cold sufferer experiencing symptoms for more than 12 days.
D) Compute the probability of a cold sufferer experiencing symptoms for less than 5 days?
E) Compute the probability of a cold sufferer experiencing symptoms for between 6 and 8 days?
F) What cold length (number of days of symptoms) is exceeded by only 10% of cold sufferers?