The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ =251 days and standard deviation o=8 days.(a) What proportion of pregnancies lasts more than 255 days?(b) What proportion of pregnancies lasts between 249 and 253 days?(c) What is the probability that a randomly selected pregnancy lasts no more than 241 days?(d) A "very preterm" baby is one whose gestation period is less than 231 days. Are very preterm babies unusual?Click the icon to view a table of areas under the normal curve.(a) The proportion of pregnancies that last more than 255 days is(Round to four decimal places as needed.)***

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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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The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ = 277 days and standard deviation o = 8 days. (a) What proportion of pregnancies lasts more than 289 days? (b) What proportion of pregnancies lasts between 275 and 281 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 267 days? (d) A "very preterm" baby is one whose gestation period is less than 257 days. Are very preterm babies unusual? Click the icon to view a table of areas under the normal curve. (a) The proportion of pregnancies that last more than 289 days is (Round to four decimal places as needed.)
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u = 256 days and standard deviation o = 20 days. (a) What proportion of pregnancies lasts more than 271 days? (b) What proportion of pregnancies lasts between 251 and 261 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 221 days? (d) A "very preterm" baby is one whose gestation period is less than 211 days. Are very preterm babies unusual? Click the icon to view a table of areas under the normal curve. (a) The proportion of pregnancies that last more than 271 days is 0.2266 (Round to four decimal places as needed.) (b) The proportion of pregnancies that last between 251 and 261 days is (Round to four decimal places as needed.) (c) The probability that a randomly selected pregnancy lasts no more than 221 days is. (Round to four decimal places as needed.) (d) A "very preterm" baby is one whose gestation period is less than 211 days. Are very preterm…
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 88 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean µ = 88 tons and standard deviation o = 0.9 ton. (a) What is the probability that one car chosen at random will have less than 87.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 19 cars chosen at random will have a mean load weight x of less than 87.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 87.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Yes No Suppose the weight of coal in 19 cars selected at random had an average x of less than 87.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this deviation…
NORMAL DISTRIBUTION 1.) It is measured that the average time vehicles travel from San Marino to San Vicente is 84.5 minutes with a standard deviation of 4.2 minutes. Find the probability that a vehicle from San Marino will arrive in San Vicente with a travel time between 58.6 minutes to 72.3 minutes. (Draw a box around your final answer.)
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 53 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 53 tons and standard deviation o = 1.3 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 52.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 42 cars chosen at random will have a mean load weight x of less than 52.5 tons of coal? (Round your answer to four decimal places.)
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.) 4
The SAT mathematics scores across the population of high school seniors are a normal random variable with a mean of 500 and a standard deviation of 100. Assume that the SAT mathematics test scores of different students are independent. (a) Find the probability that five randomly chosen seniors all score below 600. (b) What score must a student obtain to be in the 99th percentile?
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean µ=251 days and standard deviation o=8 days. (a) What proportion of pregnancies lasts more than 255 days? (b) What proportion of pregnancies lasts between 249 and 253 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 241 days? (d) A "very preterm" baby is one whose gestation period is less than 231 days. Are very preterm babies unusual? Click the icon to view a table of areas under the normal curve. (a) The proportion of pregnancies that last more than 255 days is 0.3085 (Round to four decimal places as needed.) (b) The proportion of pregnancies that last between 249 and 253 days is 0.1974. (Round to four decimal places as needed.) ACCE (c) The probability that a randomly selected pregnancy lasts no more than 241 days is 0.1056 (Round to four decimal places as needed.) (d) A "very preterm" baby is one whose gestation period is less than days. Are very…
The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a population mean of 60,000 miles and a population standard deviation of 4,000 miles. Suppose we select a sample of 90 tires and use a simulator to determine the tread life. What is the likelihood of finding that the sample mean is between 59,050 and 60,950? 0.4878 0.9756 0.9878 0.5122
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 70 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 70 tons and standard deviation o = 1.4 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 69.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 30 cars chosen at random will have a mean load weight x of less than 69.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes O No Suppose the weight of coal in 30 cars selected at random had an average x of less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? O Yes, the probability that…
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ = 278 days and standard deviation o = 12 days. (a) What proportion of pregnancies lasts more than 284 days? (b) What proportion of pregnancies lasts between 269 and 281 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 263 days? (d) A "very preterm" baby is one whose gestation period is less than 251 days. Are very preterm babies unusual? Click the icon to view a table of areas under the normal curve. (a) The proportion of pregnancies that last more than 284 days is (Round to four decimal places as needed.)
Statistics 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.)

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