MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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In a murder trial in Los Angeles, a shoe expert stated that the heights of men with size 12 shoes is
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- The price of lunch at the mall has a mean of $5.00. The standard deviation is $1.50. What is the probability of spending less than $5.62? 0.6603 1.000 0.5000 0.3397arrow_forwardThe household income in a particular town can be represented by a normal distribution with a mean of £50,000, and a standard deviation of £10,000. i. What is the probability that a particular household has an income level of more than £55,000? ii. What is the probability that a particular household has an income that is less than £35,000?arrow_forwardOne year, the distribution of salaries for professional sports players had mean $1.6 million and standard deviation $0.81 million. Suppose a sample of 100 major league players was taken. Find the approximate probability that the average salary of the 100 players that year exceeded $1.7 million. Round your answer to nearest ten-thousandth.arrow_forward
- 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.arrow_forwardthe heights of 18-year old men are approximately normally distributed with a mean of U= 68 inches and a standard deviation of O=3. what is the probability that an 18-year-old mean selected at random is less than 65 inches tall. a .8413 b .1587 c .1389 d .8765arrow_forwardAccording to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 64 inches and a standard deviation of 2.3 inches. Suppose one Martian adult male is randomly chosen. Let X = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that the person is between 62 and 63.9 inches. c. The middle 40% of Martian heights lie between what two numbers? Low: inches High: inchesarrow_forward
- The diameter of an electric cable is normally distributed, with a mean of 0.9 inch and a standard deviation of 0.02 inch. What is the probability that the diameter will exceed 0.91 inch? a. 0.1915 b. 0.2785 c. 0.6170 d. 0.3185 e. 0.3085arrow_forwardCody 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?arrow_forwardThe amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 7 ounces. 35 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ¤? ¤ - N( c. What is the probability that one randomly selected person drinks between 16.9 and 17.4 ounces of coffee per day? d. For the 35 people, find the probability that the average coffee consumption is between 16.9 and 17.4 ounces of coffee per day.arrow_forward
- m&m's are packaged by weight, rather than by number of pieces, but consumers expect to have about 50 peices of candy in a single serving size bag. The number of pieces in a bag is normally distributed with a mean of 52.4 and a standard deviation of 2.2. a. Find the z-score corresponding to a bag with 47 pieces. Round your answer to 2 decimal places. b. Find the probability of a bag containing 47 or fewer pieces. Round your answer to 4 decimal places. c. A customer will be dissatisfied if they purchase a bag that contains fewer than 47 pieces. What percentage of customers will be dissatisfied? Round your answer to 2 decimal places. % The machine that packages the m&m's can be reset to change the average number per bag, although the variability (the standard deviation) will remain the same. What should the average be set to, in order to ensure that fewer than 1% of…arrow_forwardThe 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?arrow_forwardImagine the mean women’s foot size is a 7.5 with standard deviations of 1.5. a. What percentage of women have a foot size larger than 10? b. If you select 30 people at random is it likely that any of them will have a foot size larger than 10? If so, how many?arrow_forward
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