Question

In: Statistics and Probability

A fast-food restaurant uses an average of 110 grams of meat per burger patty. Suppose the...

A fast-food restaurant uses an average of 110 grams of meat per burger patty. Suppose the amount of meat in a burger patty is normally distributed with a standard deviation of 20 grams. What is the probability that the average amount of meat in four randomly selected burgers is less than 105 grams?

Solutions

Expert Solution

Solution :

Given that ,

mean = = 110

standard deviation = = 20

P(x < 105 ) = P[(x - ) / < (105 - 110) / 20]

= P(z < - 0.25)

= 0.4013, Probability = 0.4013


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