The amount of money that a person from the United States spends at a fast-food restaurant is normally distributed with a mean of $8 and a standard deviation of $1.25. Suppose 81 customers are randomly selected. a) What is the probability that one randomly selected customer will spendless than $7?b) What is the probability that the average spent by the 81 customers is lessthan $7?c) What is the probability that the total spent by the 81 customers is less than$567?

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College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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The amount of money that a person from the United States spends at a fast-food restaurant is normally distributed with a mean of $8 and a standard deviation of $1.25. Suppose 81 customers are randomly selected.

a) What is the probability that one randomly selected customer will spend
less than $7?
b) What is the probability that the average spent by the 81 customers is less
than $7?
c) What is the probability that the total spent by the 81 customers is less than
$567?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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