Suppose that the speed at which cars go on the freeway is normally distributed with mean 72 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to decimal places where possible. 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 69 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 71 and 76 mph. d. 75% of all cars travel at least how fast on the freeway? mph.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Suppose that the speed at which cars go on the freeway is normally distributed with mean 72 mph and
standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to
decimal places where possible.
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 69 mph.
c. If one of the cars is randomly chosen, find the probability that it is traveling between 71 and 76 mph.
d. 75% of all cars travel at least how fast on the freeway?
mph.
Transcribed Image Text:Suppose that the speed at which cars go on the freeway is normally distributed with mean 72 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to decimal places where possible. 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 69 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 71 and 76 mph. d. 75% of all cars travel at least how fast on the freeway? mph.
A political candidate has asked you to conduct a poll to determine what percentage of people support her.
From a random sample of 500, 324 said they would support the candidate. A 95% confidence interval is
constructed.
a) In words, define the random variable X
O X is the proportion of people from the sample who support the candidate
X is the number of people from the population who support the candidate
X is the number of people from the sample who support the candidate
b) In words, define the random variable P
P is the proportion of people from the sample who support the candidate
P is the number of people from the sample who support the candidate
OP is the proportion of people from the population who support the candidate
Transcribed Image Text:A political candidate has asked you to conduct a poll to determine what percentage of people support her. From a random sample of 500, 324 said they would support the candidate. A 95% confidence interval is constructed. a) In words, define the random variable X O X is the proportion of people from the sample who support the candidate X is the number of people from the population who support the candidate X is the number of people from the sample who support the candidate b) In words, define the random variable P P is the proportion of people from the sample who support the candidate P is the number of people from the sample who support the candidate OP is the proportion of people from the population who support the candidate
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