The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (1-5) in California is nearly normal with a mean of 73.7 miles/hour and a standard deviation of 4.8 miles/hour. (a) What proportion of passenger vehicles travel slower than 85 miles/hour? 0.9906 (b) What proportion of passenger vehicles travel between 63 and 80 miles/hour? 0.8917 (c) How fast do the fastest 10% of passenger vehicles travel? 79.84 9. miles/hour (d) Find a value k so that 70% of passanger vehicles travel at speeds within k miles/hour of 73.7mph. k = (e) The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5. 0.7796

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (1-5) in California is nearly normal with a mean of 73.7 miles/hour and a standard
deviation of 4.8 miles/hour.
(a) What proportion of passenger vehicles travel slower than 85 miles/hour? 0.9906
(b) What proportion of passenger vehicles travel between 63 and 80 miles/hour? 0.8917
(c) How fast do the fastest 10% of passenger vehicles travel? 79.84
miles/hour
(d) Find a value k so that 70% of passanger vehicles travel at speeds within k miles/hour of 73.7mph. k :
(e) The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5.
0.7796
ID
-
Transcribed Image Text:The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (1-5) in California is nearly normal with a mean of 73.7 miles/hour and a standard deviation of 4.8 miles/hour. (a) What proportion of passenger vehicles travel slower than 85 miles/hour? 0.9906 (b) What proportion of passenger vehicles travel between 63 and 80 miles/hour? 0.8917 (c) How fast do the fastest 10% of passenger vehicles travel? 79.84 miles/hour (d) Find a value k so that 70% of passanger vehicles travel at speeds within k miles/hour of 73.7mph. k : (e) The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5. 0.7796 ID -
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