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The weights of a population of mice fed on a certain diet
Chapter 5, Problem 122E(choose chapter or problem)
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,
- That exactly two weigh between 80 and 100 grams and exactly one weighs more than 100 grams.
- That all four mice weigh more than 100 gram.