Steve Goodman, production foreman for the Florida Gold Fruit Company, estimates

Question

Steve Goodman, production foreman for the Florida Gold Fruit Company, estimates that the average sale of oranges is 4,700 and the standard deviation is 500 oranges. Sales follow a normal distribution. a) What is the probability that sales will be greater than 5,500 oranges? b) What is the probability that sales will be greater than 4,500 oranges? c) What is the probability that sales will be less than 4,900 oranges? d) What is the probability that sales will be less than 4,300 oranges? Please so work along with formula used

Explanation / Answer

The solution to all four problems are solved exactly the same way. Here is the method for the first one:

P(X > 5500) , next convert this to Standard Normal format

P(z > (5500 - 4700)/500) = P(z >1.6) , next look this value up in a Standard Normal table

P(z >1.6) = .0548

The other problems are solved in exactly the same way, just pay attention to the less than or greater than sign.

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