MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean μ = 7.5 minutes and a standard deviation o=3.6 minutes. If a random sample of 81 customers is observed, find the probability that their mean time at the teller's window is (a) at most 6.7 minutes; (b) more than 7.9 minutes; (c) at least 7.5 minutes but less than 8.1 minutes. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) The probability that the mean time is at most 6.7 minutes is (Round to four decimal places as needed.) (b) The probability that the mean time is more than 7.9 minutes is (Round to four decimal places as needed.) (c) The probability that the mean time is between 7.5 minutes and 8.1 minutes is (Round to four decimal places as needed.) 4arrow_forwardThe acidity of human blood, measured on a pH scale, is a normal random variable with a mean of 7.4 and standard deviation of 0.17. Find the probability that the acidity of a person's blood has a pH greater than 7.5.arrow_forwardIf XX represents a random variable coming from a normal distribution and P(X<10.2)=0.22P(X<10.2)=0.22, then P(X>10.2)=0.78P(X>10.2)=0.78. true or falsearrow_forward
- The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)arrow_forwardA manufacturer of battery claims that the life of his batteries is approximately normally distributed with a mean life of 4 years and a standard deviation equal to one (1) year. What is the probability that the battery last more than five (5) years.arrow_forwardThe quality-control department investigates the reliability of a product whose time tofailure follows a gamma distribution. It was observed that the mean was six years with thestandard deviation of three years. What is the probability that after 10 years the product willbe still functioning?arrow_forward
- level of blood glucose and diabetes are closoly related. Let x bo a random variable measured in milligrams of glucose per deciliter of od. After a 12-hour fast, th random variable x will have a distribution that is approximately normal with mean - 85 and standard deviation 5. What is the probability that for an adult after a 12-hour fast. s less than 7o, b. x is greater than 120?arrow_forwardStatistics released by a reputable traffic safety organization show that on an average weekend night, 1 out of every 10 drivers on the road is drunk. If 450 drivers are randomly checked next Saturday night, what is the probability that the number of drunk drivers will be (a) less than 34? (b) more than 50? (c) at least 36 but less than 49? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) The probability is. (Round to four decimal places as needed.)arrow_forward(b) A company has 16 cars of this model in its fleet. What is the probability that the average NOX + NMOG level x¯ of these cars is above 90 mg/mi? - life for one car model vary Normally with mean 84 mg/mi and standard deviation 6 mg/miarrow_forward
- A manufacturer of battery claims that the life of his batteries is approximately normally distributed with a mean life of 4 years and a standard deviation equal to one (1) year. What is the probability that the battery last between three (3) and five (5) years.arrow_forwardConsider babies born in the "normal" range of 37–43 weeks gestational age. A paper suggests that a normal distribution with mean ? = 3,500 grams and standard deviation ? = 675 grams is a reasonable model for the probability distribution of the continuous numerical variable x = birth weight of a randomly selected full-term baby. What is the probability that the birth weight of a randomly selected full-term baby exceeds 4,000 g? (Round your answer to four decimal places.) What is the probability that the birth weight of a randomly selected full-term baby is between 3,000 and 4,000 g? (Round your answer to four decimal places.) What is the probability that the birth weight of a randomly selected full-term baby is either less than 2,000 g or greater than 5,000 g? (Round your answer to four decimal places.)arrow_forward
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