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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The number of pizzas consumed per month by university students is normally distributed with a mean of 13 and a standard deviation of 2. Use Excel to answer the following questions: A. What proportion of students consume more than 15 pizzas per month? Probability = B. What is the probability that in a random sample of size 8, a total of more than 96 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 8 students?) Probability =
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.)
The number of pizzas consumed per month by university students is normally distributed with a mean of 11 and a standard deviation of 4. A. What proportion of students consume more than 14 pizzas per month? Probability = B. What is the probability that in a random sample of size 10, a total of more than 100 pizzas are consumed? (Hint: What is the mean number of pizzas consumed by the sample of 10 students?) Probability =
The number of pizzas consumed per month by university students is normally distributed with a mean of 11 and a standard deviation of 4. A. What proportion of students consume more than 13 pizzas per month? Probability = B. What is the probability that in a random sample of size 10, a total of more than 130 pizzas are consumed? Probability=
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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?
The mean annual salary for nurses is $65,000 with a standard deviation of $7,000. What is he probability that a randomly selected nurse has a salary less than $60,000? A random sample of 50 nurses is selected. What is the probability that the sample mean annual salary is less than $60,000?
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 74 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 74 tons and standard deviation ? = 1.9 ton. (a) What is the probability that one car chosen at random will have less than 73.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 50 cars chosen at random will have a mean load weight x of less than 73.5 tons of coal? (Round your answer to four decimal places.)
A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 55 miles and a standard deviation of 8 miles. Find the probability of the following events: The car travels between 49 and 63 miles per gallon. Probability =
K The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean 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 1000 chocolate chips? (c) What proportion of bags contains more than 1200 chocolate chips? (d) What is the percentile rank of a bag that contains 1425 chocolate chips? (a) The probability that a randomly selected bag contains between 1100 and 1400 chocolate chips, inclusive, is (Round to four decimal places as needed.) (b) The probability that a randomly selected bag contains fewer than 1000 chocolate chips is (Round to four decimal places as needed.) (c) The proportion of bags that contains more than 1200 chocolate chips is (Round to four decimal places as needed.) (d) A bag that contains 1425 chocolate chips is in the…

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