a. What is the distribution of X? X b. What is the distribution of a? ¤ - N( c. What is the distribution of > x? ) x - N(

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The average amount of money that people spend at Don
Mcalds fast food place is $7.5500 with a standard deviation
of $1.5100. 14 customers are randomly selected. Please
answer the following questions, and round all answers to 4
decimal places where possible and assume a normal
distribution.
a. What is the distribution of X? X - N(|
b. What is the distribution of x? a - N(
c. What is the distribution of > x? ) x - N(
d. What is the probability that one randomly selected
customer will spend less than $7.7746?
e. For the 14 customers, find the probability that their
average spent is more than $7.7746.
f. Find the probability that the randomly selected 14
customers will spend less than $108.8444.
g. For part e) and f), is the assumption of normal
necessary?O Yes
h. The owner of Don Mcalds gives a coupon for a free
sundae to the 4% of all groups of 14 people who
spend the most money. At least how much must a
group of 14 spend in total to get the free sundae? $
No
Transcribed Image Text:The average amount of money that people spend at Don Mcalds fast food place is $7.5500 with a standard deviation of $1.5100. 14 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N(| b. What is the distribution of x? a - N( c. What is the distribution of > x? ) x - N( d. What is the probability that one randomly selected customer will spend less than $7.7746? e. For the 14 customers, find the probability that their average spent is more than $7.7746. f. Find the probability that the randomly selected 14 customers will spend less than $108.8444. g. For part e) and f), is the assumption of normal necessary?O Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 4% of all groups of 14 people who spend the most money. At least how much must a group of 14 spend in total to get the free sundae? $ No
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