The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u 278 days and standard deviation o 16 days.(a) What proportion of pregnancies lasts more than 290 days?(b) What proportion of pregnancies lasts between 274 and 286 days?(c) What is the probability that a randomly selected pregnancy lasts no more than 258 days?(d) A "very preterm" baby is one whose gestation period is less than 254 days. Are very preterm babies unusual?(a) The proportion of pregnancies that last more than 290 days is(Round to four decimal places as needed.)(b) The proportion of pregnancies that last between 274 and 286 days is(Round to four decimal places as needed.)(c) The probability that a randomly selected pregnancy lasts no more than 258 days is(Round to four decimal places as needed.)(d) The probability of a "very preterm" baby isThis eventunusual because the probability isthan 0.05(Round to four decimal places as needed.)Enter your answer in each of the answer boxes.Type here to searchASUS

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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 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.)
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The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $13. Find the probability that a randomly selected utility bill is (a) less than $69, (b) between $87 and $100,and (c) more than $130.

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