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John knows that monthly demand for his product follows a normal distribution with a mean of 2,500...

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Basic Math

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?

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Answer & Explanation Solved by verified expert
4.3 Ratings (862 Votes)
Part aP X 3000 Standardizing the valueZ 3000 2500 425Z 118P X 3000 P Z 118 P X 3000 0881Part bP X 2200 1 P X 2200 Standardizing    See Answer
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