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The weights, C grams, of the chocolate muffins are normally distributed with a mean of 6 and standard deviation of 2.9g. (a) Find the probability that a randomly selected chocolate muffin weighs less than 61g (b) In a random selection of 12 chocolate muffins, find the probability that exactly 5 weig less than 61 g. The weights, B grams, of the banana muffins are normally distributed with a mean of 68 g and standard deviation of 3.4g. Each day 60% of the muffins made are chocolate. On a particular day, a muffin is randomly selected from all those made at the bakery. (c) (i) Find the probability that the randomly selected muffin weighs less than 61g. (ii) Given that a randomly selected muffin weighs less than 61 g, find the probabil that it is chocolate. The machine that makes the chocolate muffins is adjusted so that the mean weight of the chocolate muffins remains the same but their standard deviation changes to og. The machine that makes the banana muffins is not adjusted. The probability that the weight of randomly selected muffin from these machines is less than 61 g is now 0.157. (d) Find the value of o.

The weights, C grams, of the chocolate muffins are normally distributed with a mean of 6 and standard deviation of 2.9g. (a) Find the probability that a randomly selected chocolate muffin weighs less than 61g (b) In a random selection of 12 chocolate muffins, find the probability that exactly 5 weig less than 61 g. The weights, B grams, of the banana muffins are normally distributed with a mean of 68 g and standard deviation of 3.4g. Each day 60% of the muffins made are chocolate. On a particular day, a muffin is randomly selected from all those made at the bakery. (c) (i) Find the probability that the randomly selected muffin weighs less than 61g. (ii) Given that a randomly selected muffin weighs less than 61 g, find the probabil that it is chocolate. The machine that makes the chocolate muffins is adjusted so that the mean weight of the chocolate muffins remains the same but their standard deviation changes to og. The machine that makes the banana muffins is not adjusted. The probability that the weight of randomly selected muffin from these machines is less than 61 g is now 0.157. (d) Find the value of o.

A First Course in Probability (10th Edition)
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 bakery makes two types of muffins: chocolate muffins and banana muffins. The weights, C grams, of the chocolate muffins are normally distributed with a mean of 62 g and standard deviation of 2.9g. (a) Find the probability that a randomly selected chocolate muffin weighs less than 61 g. (b) In a random selection of 12 chocolate muffins, find the probability that exactly 5 weigh less than 61 g. The weights, B grams, of the banana muffins are normally distributed with a mean of 68 g and standard deviation of 3.4g. Each day 60% of the muffins made are chocolate. On a particular day, a muffin is randomly selected from all those made at the bakery. (c) (i) Find the probability that the randomly selected muffin weighs less than 61g. (ii) Given that a randomly selected muffin weighs less than 61 g, find the probability that it is chocolate. The machine that makes the chocolate muffins is adjusted so that the mean weight of the chocolate muffins remains the same but their standard deviation changes to og. The machine that makes the banana muffins is not adjusted. The probability that the weight of a randomly selected muffin from these machines is less than 61 g is now 0.157. (d) Find the value of σ.
Transcribed Image Text:A bakery makes two types of muffins: chocolate muffins and banana muffins. The weights, C grams, of the chocolate muffins are normally distributed with a mean of 62 g and standard deviation of 2.9g. (a) Find the probability that a randomly selected chocolate muffin weighs less than 61 g. (b) In a random selection of 12 chocolate muffins, find the probability that exactly 5 weigh less than 61 g. The weights, B grams, of the banana muffins are normally distributed with a mean of 68 g and standard deviation of 3.4g. Each day 60% of the muffins made are chocolate. On a particular day, a muffin is randomly selected from all those made at the bakery. (c) (i) Find the probability that the randomly selected muffin weighs less than 61g. (ii) Given that a randomly selected muffin weighs less than 61 g, find the probability that it is chocolate. The machine that makes the chocolate muffins is adjusted so that the mean weight of the chocolate muffins remains the same but their standard deviation changes to og. The machine that makes the banana muffins is not adjusted. The probability that the weight of a randomly selected muffin from these machines is less than 61 g is now 0.157. (d) Find the value of σ.
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