Please explain as if using a normal table because that is how I am supposed to s

Question

Please explain as if using a normal table because that is how I am supposed to solve the problem. Thank you! Please explain as if using a normal table because that is how I am supposed to solve the problem. Thank you! 58 The owner of a fast-food restaurant has found the daily demand for ground beef at her restaurant to be normally distributed, with a mean of 240 lb and a standard deviation of 23 lb. Since the fast-food business is very competitive, the manager would like to ensure that sufficient ground beef is available in her restaurant each day so that the probability is no greater than 1% that the day's supply is exhausted. How many pounds of ground beef should the manager have available for use each day?

Explanation / Answer

Ans:

Given that

mean=240

standard deviation=23

Also,

P(Z<=z)=0.01

z=normsinv(0.01)=-2.33

(we can also get z value form normal table,look for z value corresponding to cumulative probability of 0.01)

So,

x=240-2.33*23=186.41

Hence,186.41 pounds of beef should be available so that the probability is no greater than 1% that the day's supply is exhausted.

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