CNNBC recently reported that the mean annual cost of auto insurance is 1002 dollars. Assume the standarddeviation is 258 dollars, and the cost is normally distributed. You take a simple random sample of 36 autoinsurance policies. Round your answers to 4 decimal places.a. What is the distribution of X? X - Nb. What is the distribution of ? TN(c. What is the probability that one randomly selected auto insurance is less than $1040?d. a simple random sample of 36 auto insurance policies, find the probability that the average cost isless than $1040.e. For part d), is the assumption of normal necessary? O Yeso No

Answered: Image /qna-images/answer/5954fa4c-66ca-44d9-9a42-a35221b37764.jpg

Answered: CNNBC recently reported that the mean…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Plz explain. Ty
Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.
What is the relationship between the variance and the standard deviation for a sample data set? A. The standard deviation is equal to half the variance. B. The standard deviation is equal to two times the variance. C. The standard deviation is the square root of the variance. D. The standard deviation is the square of the variance.
Private nonprofit four-year colleges charge, on average, $27,247 per year in tuition and fees. The standard deviation is $6,689. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 30,360 per year. c. Find the 71th percentile for this distribution. $ (Round to the nearest dollar.) Hint: Helpful videos: • Find a Probability [+] • Finding a Value Given a Probability [+] Hint Question Help: Message instructor Submit Question logi *3 F2 F3 F5 F8 5 * CO %24 * 3 2) 2
Normal Distribution Calculator: http://onlinestatbook.com/2/calculators/normal dist.html 2. Suppose the scores on a chemistry test were normally distributed with a mean of 78 and a standard deviation of 10. a. Label the horizontal axis appropriately on the Normal curve at right. b. Find the probability that the student earned fewer than 75 points. c. Find the probability that the student earned at least 70 points. 48 58 68 78 88 98 108 d. Find the probability that the student earned between 80 and 90 points. Shade the appropriate area in the figure, and then determine the proportion. e. Find the probability that the student earned either less than 80 points or more than 90 points.
A dice is rolled three times a. Find the probability of getting exactly 2 fours b. Find the mean, variance, and standard deviation
CNNBC recently reported that the mean annual cost of auto insurance is 1017 dollars. Assume the standard deviation is 249 dollars, and the cost is normally distributed. You take a simple random sample of 37 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of a? ¤ - N( c. What is the probability that one randomly selected auto insurance is less than $997? d. a simple random sample of 37 auto insurance policies, find the probability that the average cost is less than $997.
Leave all probabilities as percentages. Define x on all problems with data. The number of patients coming into a dental clinic each day were 74, 52, and 83. a. Find the sample mean. b. Find the sample standard deviation. c. Find the population variance.
Provide an appropriate response. Use the Standard Normal Table to find the probability. IQ test scores are normally distributed with a mean of 105 and a standard deviation of 11. An individual's IQ score is found to be 114. Find the z-score corresponding to this value. Round the answer to the nearest hundredth. O A. -0.82 OB. -1.22 O C. 0.82 O D. 1.22 C
You play a game of chance that you can either win or lose (there are no other possibilities) until you lose. Your probability of losing is p = 0.61. What is the probability that ita. takes 2 games until you lose. b. takes 5 games until you lose. c. Find the mean c. Find the standard deviation.
Private nonprofit four-year colleges charge, on average, $27,088 per year in tuition and fees. The standard deviation is $7,205. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 26,156 per year. c. Find the 60th percentile for this distribution. S (Round to the nearest dollar.)
Many college admissions want to know your class percentage in addition to your grades. The grades are normally distributed. A certain university insists that a student place in at the 90th percentile. if the mean is 79.45 and the standard deviation is 5.37, what is the 90th percentile? a.88.07 b.85.01 c.86.33 d.90

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS