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4. A dry bean supplier fills bean bags with a machine that does not work very well, and he advertises that each bag contains 1 pound of beans. In fact, the weight of the beans that the machine puts into a bag is a normal r.v. with mean 16 ounces and standard deviation 1 ounce. If the box contains 16 bags of beans: a) Find the mean and variance of the beans in the box. Assume the weight of the beans are independent of one another. I. b) Find the probability that the weight of the beans in the box exceeds 250 ounces.

4. A dry bean supplier fills bean bags with a machine that does not work very well, and he advertises that each bag contains 1 pound of beans. In fact, the weight of the beans that the machine puts into a bag is a normal r.v. with mean 16 ounces and standard deviation 1 ounce. If the box contains 16 bags of beans: a) Find the mean and variance of the beans in the box. Assume the weight of the beans are independent of one another. I. b) Find the probability that the weight of the beans in the box exceeds 250 ounces.

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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4. A dry bean supplier fills bean bags with a machine that does not work very well, and he advertises that each bag contains 1 pound of beans. In fact, the weight of the beans that the machine puts into a bag is a normal r.v. with mean 16 ounces and standard deviation 1 ounce. If the box contains 16 bags of beans: a) Find the mean and variance of the beans in the box. Assume the weight of the beans are independent of one another. b) Find the probability that the weight of the beans in the box exceeds 250 ounces. W 1
Transcribed Image Text:4. A dry bean supplier fills bean bags with a machine that does not work very well, and he advertises that each bag contains 1 pound of beans. In fact, the weight of the beans that the machine puts into a bag is a normal r.v. with mean 16 ounces and standard deviation 1 ounce. If the box contains 16 bags of beans: a) Find the mean and variance of the beans in the box. Assume the weight of the beans are independent of one another. b) Find the probability that the weight of the beans in the box exceeds 250 ounces. W 1
4. A dry bean supplier fills bean bags with a machine that does not work very well, and he advertises that each bag contains 1 pound of beans. In fact, the weight of the beans that the machine puts into a bag is a normal r.v. with mean 16 ounces and standard deviation 1 ounce. If the box contains 16 bags of beans: a) Find the mean and variance of the beans in the box. Assume the weight of the beans are independent of one another. b) Find the probability that the weight of the beans in the box exceeds 250 ounces. W 1
Transcribed Image Text:4. A dry bean supplier fills bean bags with a machine that does not work very well, and he advertises that each bag contains 1 pound of beans. In fact, the weight of the beans that the machine puts into a bag is a normal r.v. with mean 16 ounces and standard deviation 1 ounce. If the box contains 16 bags of beans: a) Find the mean and variance of the beans in the box. Assume the weight of the beans are independent of one another. b) Find the probability that the weight of the beans in the box exceeds 250 ounces. W 1
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