One year consumers spent an average of $23 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $4. Complete parts (a) through (c) below. *** a. What is the probability that a randomly selected person spent more than $25? P(X> $25) = (Round to four decimal places as needed.) b. What is the probability that a randomly selected person spent between $13 and $20? P($13 < X <$20) = (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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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One year consumers spent an average of $23 on a meal at a resturant. Assume that the amount spent
on a resturant meal is normally distributed and that the standard deviation is $4. Complete parts (a)
through (c) below.
***
a. What is the probability that a randomly selected person spent more than $25?
P(X>$25) = (Round to four decimal places as needed.)
b. What is the probability that a randomly selected person spent between $13 and $20?
P($13<X<$20) = (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 $23 on a meal at a resturant. Assume that the amount spent on a resturant meal is normally distributed and that the standard deviation is $4. Complete parts (a) through (c) below. *** a. What is the probability that a randomly selected person spent more than $25? P(X>$25) = (Round to four decimal places as needed.) b. What is the probability that a randomly selected person spent between $13 and $20? P($13<X<$20) = (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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