Automobile repair costs continue to rise with the average cost now at $367 per repair (U.S. News & World Report website). Assume that the cost for anautomobile repair is normally distributed with a standard deviation of $88. Answer the following questions about the cost of automobile repairs.a. What is the probability that the cost will be more than $450 (to four decimals)?b. What is the probability that the cost will be less than $250 (to four decimals)?c. What is the probability that the cost will be between $250 and $450 (to four decimals)?d. If the cost for your car repair is in the lower 5% of automobile repair charges, what is your cost (to two decimals)?$

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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M1
Use a normal distribution table or a statistical calculator to answer this question. A farm produces 10,000 eggs in a day. The mean mass of an egg is 59 grams. The standard deviation is 5 grams. An egg is "extra-large" if it has a mass between 63 and 69 grams. To the nearest ten eggs, how many extra-large eggs does the farm produce in a day?
The IQ of highschool seniors is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability that a sample of 15 students will have a sample mean less than 99. Give your answer to three decimal places and write as a proportion (i.e. between 0 and 1).
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.
Students in the psychology department at General State University consumes an average of 7 sodas per day with a standard deviation of 2.5. the distribution is normal. Explain how you would go about answering the following questions (include your answer to the question in your response): How many sodas would an individual at the 75thpercentile drink per day?
The number of bacterial colonies on a petri dish can have an average of 2.5 per cm2 Define the variable of interest for this scenario. What probability distribution do you think best describes the situation? Why? Calculate the mean and standard deviation of the distribution
Consider an investment whose return is normally distributed with mean of 8% and a standard deviation of 5%. A. Determine the probability of losing money. B.Find the probability of losing money when the standard deviation is equal to 10%.
The salaries of 1200 pro athletes form a normal distribution with a mean of $79,000 and a standard deviation of $30,000. A "superstar" is defined as anybody in the top 2% of the salary distribution. What is the minimum salary of a superstar? Select one: a. $85,150 b. $140,500 c. $209,000 O d. $109,000
The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by a normal distribution with mean of 20.7 Ibs and a standard deviation of 4.2 Ibs. Find the probability that the population consumes at most 10 lbs yearly? Answer in a complete sentence in context.
The average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds (Source: American Dietetic Association). If a sample of 50 individuals is randomly selected, find the probability that the mean of the sample will be greater than 200 pounds. OA. 0.0985 OB. 0.9015 OC. 0.8815 O D. 0.7613 C
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?

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