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ne year consumers spent an average of $22 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $5. Complete parts (a) through (c) below. What is the probability that a randomly selected person spent more than $24? X>$24)= (Round to four decimal places as needed.) What is the probability that a randomly selected person spent between $10 and $18? $10

ne year consumers spent an average of $22 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $5. Complete parts (a) through (c) below. What is the probability that a randomly selected person spent more than $24? X>$24)= (Round to four decimal places as needed.) What is the probability that a randomly selected person spent between $10 and $18? $10

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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One year consumers spent an average of $22 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $5. Complete parts (a) through (c) below. a. What is the probability that a randomly selected person spent more than $24? P(X> $24) = (Round to four decimal places as needed.) b. What is the probability that a randomly selected person spent between $10 and $18? P($10 <X< $18) = (Round to four decimal places as needed.) c. Between what two values, symmetrically distributed around the mean, will the middle 95% of the amounts of cash spent fall? The middle 95% of the amounts of cash spent will fall between X= $ and X= $ (Round to the nearest cent as needed.)
Transcribed Image Text:One year consumers spent an average of $22 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $5. Complete parts (a) through (c) below. a. What is the probability that a randomly selected person spent more than $24? P(X> $24) = (Round to four decimal places as needed.) b. What is the probability that a randomly selected person spent between $10 and $18? P($10 <X< $18) = (Round to four decimal places as needed.) c. Between what two values, symmetrically distributed around the mean, will the middle 95% of the amounts of cash spent fall? The middle 95% of the amounts of cash spent will fall between X= $ and X= $ (Round to the nearest cent as needed.)
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