Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X ~ N( ? , ? ) b. If one car is randomly chosen, find the probability that it is traveling more than 65 mph. Round to 4 decumal places. ? c. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 74 mph. Round to 4 decimal places. ?

Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X ~ N( ? , ? ) b. If one car is randomly chosen, find the probability that it is traveling more than 65 mph. Round to 4 decumal places. ? c. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 74 mph. Round to 4 decimal places. ?

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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Question

Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car.

a. What is the distribution of X? X ~ N( ? , ? )

b. If one car is randomly chosen, find the probability that it is traveling more than 65 mph. Round to 4 decumal places. ?

c. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 74 mph. Round to 4 decimal places. ?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution