show all steps Is the fastest growing provider of wireless communication service

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Is the fastest growing provider of wireless communication services in the nation. TNT has determined that the daily demand for its best selling cellular phone is a Gaussian distributed random variable, with a mean of 200 units day and a standard deviation of 50 units/day. a) What is the percentage of days in which the daily demand will be Jess than 90 units/day (b) What is the percentage of days in which the daily demand will he between 225 and 275 units/day? (c) Based on cost analysis, TNT has determined that its best strategy is to me3et the daily demand in 94% of the cases. How many units per day should ABW have available to meet this objective?

Explanation / Answer

Mean = 200
Stdev = 50

a. P(X<90) = P(Z < 90-200/50) = P(Z< -2.2) = .0139

b.P( 225<X<275) = P(.5<Z<2.5) = .9938-.6915 = .3023

c. P(X=x) = .94, P(Z = x-200/50) = .94, Z value is 1.55. So, 1.55 = X-200/50, X = 200+1.55*50 = 277.5

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