The answer to Probability Problem
The daily rate of production of a part is normally distributed with mean 75 and standard deviation 10. If denotes a day's production of this part, use this information to find the following probabilities. You may use computer software if you wish. (5 points each)
a) P (X less than or equal to 90)
b) P(55 less than or equal X less than or equal to 95)
c) P(X greater than or equal to 75)
d) Determine the minimum production level required for a day's production to be in the top 5% of production levels.