In determining automobile mileage ratings, it was found that the mpg (X) for a certain model is normally distributed, with a mean of 35 mp a. Find P(X < 34). P(X< 34) =O (Round to four decimal places as needed.) b. Find P(32 37). P(X> 37) =O (Round to four decimal places as needed.) d. Find P(X> 34). P(X> 34) =O (Round to four decimal places as needed.) e. Find the mileage rating that the upper 11% of cars achieve. The mileage rating that the upper 11% of cars achieve is mpg. (Round to two decimal places as needed.)

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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In determining automobile mileage ratings, it was found that the mpg (X) for a certain model is normally distributed, with a mean of 35 mpg and a standard deviation of 1.9 mpg. Complete parts a through e below.
a. Find P(X < 34).
P(X< 34) = |
(Round to four decimal places as needed.)
b. Find P(32 <X< 38).
P(32 <X< 38) = |
(Round to four decimal places as needed.)
c. Find P(X> 37).
P(X> 37) = (Round to four decimal places as needed.)
d. Find P(X> 34).
P(X> 34) =|
(Round to four decimal places as needed.)
e. Find the mileage rating that the upper 11% of cars achieve.
The mileage rating that the upper 11% of cars achieve is
mpg.
(Round to two decimal places as needed.)
Transcribed Image Text:In determining automobile mileage ratings, it was found that the mpg (X) for a certain model is normally distributed, with a mean of 35 mpg and a standard deviation of 1.9 mpg. Complete parts a through e below. a. Find P(X < 34). P(X< 34) = | (Round to four decimal places as needed.) b. Find P(32 <X< 38). P(32 <X< 38) = | (Round to four decimal places as needed.) c. Find P(X> 37). P(X> 37) = (Round to four decimal places as needed.) d. Find P(X> 34). P(X> 34) =| (Round to four decimal places as needed.) e. Find the mileage rating that the upper 11% of cars achieve. The mileage rating that the upper 11% of cars achieve is mpg. (Round to two decimal places as needed.)
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