Suppose speeds of vehicles on a particular stretch of roadway are normally distributed with mean 36.6 mph and standard deviation 1.7 mph. a. Find the probability that the speed X of a randomly selected vehicle is between 35 and 40 mph. b. Find the probability that the mean speed X of 20 randomly selected vehicles is between 35 and 40 mph.

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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Suppose speeds of vehicles on a particular
stretch of roadway are normally distributed
with
mean 36.6 mph and standard deviation 1.7
mph.
a. Find the probability that the speed X of a
randomly selected vehicle is
between 35 and 40 mph.
b. Find the probability that the mean speed X
of 20 randomly selected vehicles is
between 35 and 40 mph.
Transcribed Image Text:Suppose speeds of vehicles on a particular stretch of roadway are normally distributed with mean 36.6 mph and standard deviation 1.7 mph. a. Find the probability that the speed X of a randomly selected vehicle is between 35 and 40 mph. b. Find the probability that the mean speed X of 20 randomly selected vehicles is between 35 and 40 mph.
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