John knowsthat monthly demand for his product follows a normal distributionwith a mean of 2,500 units and a standard deviation of 425 units.Given this, please provide the following answers forJohn.
a. What is theprobability that in a given month demand is less than 3,000units?
b. What is theprobability that in a given month demand is greater than 2,200units?
c. What is theprobability that in a given month demand is between 2,200 and 3,000units?
d. What is theprobability that demand will exceed 5,000 units nextmonth?
e. If Johnwants to make sure that he meets monthly demand with productionoutput at least 95% of the time. What is the minimum he shouldproduce each month?
