# Suppose that the age of students at George Washington Elementary school isuniformly distributed between 6 and 11 years old. 43 randomly selected childrenfrom the school are asked their age. Round all answers to 4 decimal places wherepossiblea. What is the distribution of X? XU(b. What is the distribution of ? & ~ N(c. What is the probability that the average of 43 children will be between 8 and8.4 years old?

Question
Asked Oct 4, 2019
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Step 1
1. It is provided that the age of students is uniformly distributed between 6 and 11 years old. The randomly selected sample, n is 43.

The uniform distribution of X can be obtained as:

Step 2

The mean and standard deviation of X for the uniform distribution is,

Step 3

b. The Central Limit Theorem states that if the sample size is greater than or equal to 30, the sampling distributions of the mean tend to be normal distribution, irre...

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