An audio/video equipment discount store has 36 salespeople. Daily dollar sales f

Question

An audio/video equipment discount store has 36 salespeople. Daily dollar sales for individual sellers enployed by the store has a normal distribution with a mean of $2000 and a standard deviation of $300. The store's management is going to implement an incentive program awarding a daily bonus to any salesperson who achieves daily sales over $2150. To four decimal places what is the probablitiy that an individual salesperson will earn a bonus on any given day?

a. .3145

b .3125

c .3105

d .3085

e .1915

Explanation / Answer

X : daily sales for individual sellers

P (an individual salesperson will earn a bonus on any given day)

= P( X > 2150)

= P(Z > (2150 - 2000)/300)

= P(Z > 0.5)

= 0.3085

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