The weights of a population of mice fed on a certain diet

Chapter 5, Problem 122E

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QUESTION:

Problem 122E

The weights of a population of mice fed on a certain diet since birth are assumed to be normally distributed with μ = 100 and σ = 20 (measurement in grams). Suppose that a random sample of n = 4 mice is taken from this population. Find the probability that

a exactly two weigh between 80 and 100 grams and exactly one weighs more than 100 grams.

b all four mice weigh more than 100 grams.

Questions & Answers

QUESTION:

Problem 122E

The weights of a population of mice fed on a certain diet since birth are assumed to be normally distributed with μ = 100 and σ = 20 (measurement in grams). Suppose that a random sample of n = 4 mice is taken from this population. Find the probability that

a exactly two weigh between 80 and 100 grams and exactly one weighs more than 100 grams.

b all four mice weigh more than 100 grams.

ANSWER:

Solution:

Step1 of 3:

The weights of a population of mice fed on a certain diet since birth are assumed to be normally distributed with and .  

A sample of n=4 mice is taken from this population.

We have to find the probability,

  1. That exactly two weigh between 80 and 100 grams and exactly one weighs more than 100 grams.
  2. That all four mice weigh more than 100 gram.

 


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