The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with amean of 1252 chips and standard deviation 129 chips.(a) What is the probability that a randomly selected bag contains between 1100 and 1400 chocolate chips, inclusive?(b) What is the probability that a randomly selected bag contains fewer than 1050 chocolate chips?(c) What proportion of bags contains more than 1200 chocolate chips?(d) What is the percentile rank of a bag that contains 1000 chocolate chips?

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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 57 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 57 tons and standard deviation ? = 1.2 ton. (a) What is the probability that one car chosen at random will have less than 56.5 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 56.5 tons of coal? (Round your answer to four decimal places.)
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According to College Board, the average out-of-state tuition for a four-year public college was $8,893 for the 2013-2014 academic year. There are a total of 629 four-year public institutions in the U.S. Assume that the standard deviation for the tuition for these colleges is $950. A random sample of 60 four-year public colleges was selected. What is the probability that the average tuition from this sample is less than $9,000?
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