The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u = 260 days and standard deviation o = 8 days.(a) What proportion of pregnancies lasts more than 272 days?(b) What proportion of pregnancies lasts between 248 and 266 days?(c) What is the probability that a randomly selected pregnancy lasts no more than 256 days?(d) A "very preterm" baby is one whose gestation period is less than 242 days. Are very preterm babies unusual? (a) The proportion of pregnancies that last more than 272 days is(Round to four decimal places as needed.)(b) The proportion of pregnancies that last between 248 and 266 days is(Round to four decimal places as needed.)(c) The probability that a randomly selected pregnancy lasts no more than 256 days is(Round to four decimal places as needed.)(d) A "very preterm" baby is one whose gestation period is less than 242 days. Are very preterm babies unusual?

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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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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 65 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 65 tons and standard deviation ? = 1.7 ton. (a) What is the probability that one car chosen at random will have less than 64.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 37 cars chosen at random will have a mean load weight x of less than 64.5 tons of coal? (Round your answer to four decimal places.)
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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 90 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 90 tons and standard deviation ? = 1.1 ton. (a) What is the probability that one car chosen at random will have less than 89.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 39 cars chosen at random will have a mean load weight x of less than 89.5 tons of coal? (Round your answer to four decimal places.)
1
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