6.Based on earlier studies, monthly expenditures of newly graduates in Singapore isnormally distributed with mean $1,700 and standard deviation $680. If a new graduate israndomly selected,a) What is the probability that the graduate's monthly expenditure is more than $1,950?b) What is the probability that graduate's monthly expenditure is between $1,550 and$2,125?c) If 20% of newly graduates spent above a certain value V per month, find the valueof V.

6. Given Population mean, μ=1700 Population standard deviation, σ=680

Answered: 6. Based on earlier studies, monthly…

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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42. An automobile battery manufacturer claims their batteries have an average life of 5 years with a standard deviation of 1.3 years. Assuming battery life is normally distributed, what is the probability a random sample of 25 batteries has an average life between 4.7 and 5.5 years? 0.1515 0.8485 0.7590 0.2410
The Australian Emergency department reports that the average time it takes to respond to an emergency call is 20 minutes. Assume the variable is approximately normally distributed and the standard deviation is 5 minutes. If 80 calls are randomly selected, what is probability a emergency call will be responded between 12 and 25 minutes?
1. Assume that IQ are normally distributed with a mean of 100 and standarddeviation of 20. For a sample of 40 adults, find the probability that their mean IQscore will be greater than 95?
The mean cost of domestic airfares in the United States rose to an all-time high of $400 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $110. Use Table 1 in Appendix B. a. What is the probability that a domestic airfare is $560 or more (to 4 decimals)? b. What is the probability that a domestic airfare is $240 or less (to 4 decimals)? c. What if the probability that a domestic airfare is between $300 and $470 (to 4 decimals)? d. What is the cost for the 4% highest domestic airfares? (rounded to nearest dollar)$ or - Select your answer -morelessItem 5
1.a.The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean ? = $633 and standard deviation ? = $46. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.) b.A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 90 months and a standard deviation of 3.2 months. When this computer-relay microchip malfunctions, the entire satellite is useless. A large London insurance company is going to insure the satellite for 50 million dollars. Assume that the only part of the satellite in question is the microchip. All other components will work indefinitely. If the satellite is insured for 84 months, what is the probability that it will malfunction before the insurance coverage ends? (Round your answer…
6) Assume that the heights of men are normally distributed with a mean of 68.0 inches and a standard deviation of 3.5 inches. If 100 men are randomly selected, find the probability that they have a mean height greater than 69 inches.
3. Replacements times of TV sets are reported to follow a normal distribution having a mean of 8.5 years with standard deviation of 1.2 years. If 25 TV sets are selected, what is the probability that the replacement time is between 8.4 years and 9 years.
According to College Board, the average out-of-state tuition for a four-year public college was $8,893 for the 2013-2014 academic year. There are a total of 629 four-year public institutions in the U.S. Assume that the standard deviation for the tuition for these colleges is $950. A random sample of 60 four-year public colleges was selected. What is the probability that the average tuition from this sample is less than $9,000?
The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket. Assume domestic airfares are normally distributed with a standard deviation of $110.(1) What is the probability that a domestic airfare is $550 or more? 2) What is the probability that a domestic airfare is $250 or less?3) What is the probability that a domestic airfare is between $300 and $500? 0.6325(4) What is the cost for the 3% highest domestic airfares?
The mean cost of domestic airfares in the United States rose to an all-time high of $380 per ticket. Airfares were based on the total ticket value, which consisted of the price charged by the airlines plus any additional taxes and fees. Assume domestic airfares are normally distributed with a standard deviation of $115. Use Table 1 in Appendix B. 1. What is the probability that a domestic airfare is $535 or more (to 4 decimals)? 2.What is the cost for the 3% highest domestic airfares? (rounded to nearest dollar)
2. A study propose the Weibull distribution (a = 2.0, B= 200) as a model for time to failure of solid insulating specimens subject to AC voltage. a) What is the probability that a specimen's lifetime is at least 250? Round your answer to four decimal places. b) What is the median time to failure? Round you answer to two decimal places.

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