Question 3 (7 marks) First introduced in Los Angeles, the concept of Korean-style tacos sold from...

Question 3

First introduced in Los Angeles, the concept of Korean-style tacos sold from a catering truck has been gain popularity nationally. This taco is an interesting mix of corn tortillas with Korean-style beef, garnished with onion, cilantro, and a hash of chilli-soy-dressed lettuce. The owners have estimated that the daily consumption of beef is normally distributed. Further, the middle 99.73% of daily beef consumption is between 12 and 36 pounds.

What is the mean and standard deviation of the daily consumption of beef? Justify your answers.

Determine the amount of beef the owners should buy so that it meets demand on 80% of days. (1 mark)

What is the probability that the mean of 16 days will have more than 23.2 pounds of beef consumption?

(Note: If you cannot find the mean and standard deviation in a, state that. Then choose a reasonable mean and standard deviation and do the remaining questions.)

Expert Solution

Empirical Rule of Normal:

If X is a normal random variable, then the probability that X lies within 3 standard deviations of the mean is 0.9973

Central Limit Theorem:

orchestra answered 2 years ago

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