The average amount of money that people spend at Don Mcalds fast food place is $7.8700 with a standard deviation of $1.8400. 48 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( 7.870C, 1.840C b. What is the distribution of ¤? ¤ ~ N( 7.870C .2656 c. What is the distribution of > x? ) x - N( 377.7€ d. What is the probability that one randomly selected customer will spend less than $8.0016? e. For the 48 customers, find the probability that their average spent is more than $8.0016. f. Find the probability that the randomly selected 48 customers will spend less than $384.0768. g. For part e) and f), is the assumption of normal necessary? O YesO No h. The owner of Don Mcalds gives a coupon for a free sundae to the 3% of all groups of 48 people who spend the most money. At least how much must a group of 48 spend in total to get the free sundae? $
The average amount of money that people spend at Don Mcalds fast food place is $7.8700 with a standard deviation of $1.8400. 48 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( 7.870C, 1.840C b. What is the distribution of ¤? ¤ ~ N( 7.870C .2656 c. What is the distribution of > x? ) x - N( 377.7€ d. What is the probability that one randomly selected customer will spend less than $8.0016? e. For the 48 customers, find the probability that their average spent is more than $8.0016. f. Find the probability that the randomly selected 48 customers will spend less than $384.0768. g. For part e) and f), is the assumption of normal necessary? O YesO No h. The owner of Don Mcalds gives a coupon for a free sundae to the 3% of all groups of 48 people who spend the most money. At least how much must a group of 48 spend in total to get the free sundae? $
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Can you please do part E, F, and H?
Transcribed Image Text:The average amount of money that people spend at Don Mcalds fast food place is $7.8700 with a standard
deviation of $1.8400. 48 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( 7.870C, 1.840C)
b. What is the distribution of x? a - N( 7.870C , .2656
c. What is the distribution of > x?) x - N( 377.7€,
d. What is the probability that one randomly selected customer will spend less than $8.0016?
e. For the 48 customers, find the probability that their average spent is more than $8.0016.
f. Find the probability that the randomly selected 48 customers will spend less than $384.0768.
g. For part e) and f), is the assumption of normal necessary? O YesO No
h. The owner of Don Mcalds gives a coupon for a free sundae to the 3% of all groups of 48 people who
spend the most money. At least how much must a group of 48 spend in total to get the free sundae? $
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