A magazine reported that on average, American drivers will be involved in 3.4 car accidents while driving over their lifetime, with a standard deviation of 0.68. Number of accidents for American drivers follows a normal distribution. Four Americans who are no longer driving were randomly selected. What is the probability that their average number of accidents while driving will be larger than 4? P(E > 125) = %3D For this problem, we were told that the distrihution is normal If the -har the distrik utin

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ty and Statistics CP Fall 2021 (Harward)
/ Probability and Statistics CP Fall 2021 (Harward) / Unit 4 DUE 11/23 / Unit 4 Test DUE 11/23
Normal Distributions
A magazine reported that on average, American drivers will be involved in 3.4 car accidents while driving over their lifetime, with a
standard deviation of 0.68. Number of accidents for American drivers follows a normal distribution. Four Americans who are no
longer driving were randomly selected. What is the probability that their average number of accidents while driving will be larger
than 4?
P(E > 125)
For this problem, we were told that the distribution is normal. If the shape of the distribution was not stated, we would not have
been able to use the normal distribution table to find the probability, What does the Central Limit Theorenm tell us to do to be able
to normalize the distribution?
Increase the sample size
What is the rule of thumb for normalizing the sampling distribution of means?
n> 30
Please answer all parts of the question.
Next page
You are loaaed in as Dvi'Mond Huahes (Loa out)
Transcribed Image Text:ty and Statistics CP Fall 2021 (Harward) / Probability and Statistics CP Fall 2021 (Harward) / Unit 4 DUE 11/23 / Unit 4 Test DUE 11/23 Normal Distributions A magazine reported that on average, American drivers will be involved in 3.4 car accidents while driving over their lifetime, with a standard deviation of 0.68. Number of accidents for American drivers follows a normal distribution. Four Americans who are no longer driving were randomly selected. What is the probability that their average number of accidents while driving will be larger than 4? P(E > 125) For this problem, we were told that the distribution is normal. If the shape of the distribution was not stated, we would not have been able to use the normal distribution table to find the probability, What does the Central Limit Theorenm tell us to do to be able to normalize the distribution? Increase the sample size What is the rule of thumb for normalizing the sampling distribution of means? n> 30 Please answer all parts of the question. Next page You are loaaed in as Dvi'Mond Huahes (Loa out)
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