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 129chips.(a) What is the probability that a randomly selected bag contains between 1000 and 1500 chocolate chips, inclusive?(b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate chips?(c) What proportion of bags contains more than 1175 chocolate chips?(d) What is the percentile rank of a bag that contains 1450 chocolate chips?(a) The probability that a randomly selected bag contains between 1000 and 1500 chocolate chips, inclusive, is(Round to four decimal places as needed.)(b) The probability that a randomly selected bag contains fewer than 1125 chocolate chips is(Round to four decimal places as needed.)(c) The proportion of bags that contains more than 1175 chocolate chips is(Round to four decimal places as needed.)(d) A bag that contains 1450 chocolate chips is in the th percentile.(Round to the nearest integer as needed.)

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A media statistics agency reports that the mean number of televisions in a household in a particular country is 2.24. Assume that the population standard deviation number of television sets in this country is 1.38. (a) What type of variable is number of television sets in a household? (b) A random sample of 40 households results in a total of 102 television sets. What is the mean number of televisions in these 40 households? (c) What is the probability of obtaining the sample mean obtained in part (b) or higher if the population mean is 2.24? (a) The variable is quantitative and discrete. (b) The mean is x = televisions. (Type an integer or a decimal. Do not round.)
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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 =
The amount of money that college students spend on food each week during the academic year is normally distributed with a mean of $31.28 and a standard deviation of $11.42 What is the probability that one randomly selected student will spend less than $25 per week on food? If you randomly select 10 students, what is the probability that their mean will be less than $25?
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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The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket. Assume domestic airfares are normally distributed with a standard deviation of $110.(1) What is the probability that a domestic airfare is $550 or more? 2) What is the probability that a domestic airfare is $250 or less?3) What is the probability that a domestic airfare is between $300 and $500? 0.6325(4) What is the cost for the 3% highest domestic airfares?
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.)
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 69 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 69 tons and standard deviation ? = 1.5 ton. (a) What is the probability that one car chosen at random will have less than 68.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 46 cars chosen at random will have a mean load weight x of less than 68.5 tons of coal? (Round your answer to four decimal places.)(c) Suppose the weight of coal in one car was less than 68.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? YesNo Suppose the weight of coal in 46 cars selected at random had an average x of less than 68.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this…
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 54 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 54 tons and standard deviation ? = 1.4 ton. (a) What is the probability that one car chosen at random will have less than 53.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 26 cars chosen at random will have a mean load weight x of less than 53.5 tons of coal? (Round your answer to four decimal places.)(c) Suppose the weight of coal in one car was less than 53.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? YesNo Suppose the weight of coal in 26 cars selected at random had an average x of less than 53.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this deviation…

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