One year consumers spent an average of $21 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 $22? P(X>$22) =| (Round to four decimal places as needed.) b. What is the probability that a randomly selected person spent between $11 and $19? P($11

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 $21 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 $22?
P(X> $22) =|
(Round to four decimal places as needed.)
b. What is the probability that a randomly selected person spent between $11 and $19?
P($11<X<$19) =
(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.)
View instructor tip
P Type here to search
9%
24
4.
%23
R.
T
W
Transcribed Image Text:One year consumers spent an average of $21 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 $22? P(X> $22) =| (Round to four decimal places as needed.) b. What is the probability that a randomly selected person spent between $11 and $19? P($11<X<$19) = (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.) View instructor tip P Type here to search 9% 24 4. %23 R. T W
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