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StatisticsQ&A LibraryTreat the number of months X after January 1 that someone is born as uniformlydistributed from 0 to 12. Round all answers to 4 decimal places where possible.a. What is the distribution of X? XU(b. Suppose that 36 people are surveyed. What is the distribution of a for thissample? Nc. What is the probability that the average birth month of the 36 people will bemore than 6.6?Question

Asked Oct 4, 2019

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Step 1

According to the provided details, *a* = 0 and *b* = 12.

A uniform distribution has an equal probability for all the outcomes of the random variable, that is, it has a constant probability. A continuous uniform distribution is defined over the range, where *a* is the smallest value and *b* is the largest value of the distribution. The values, (*a, b*) are the parameters of the uniform distribution.

Step 2

(a)

Consider, *X *be the random variable which is uniformly distributed with the parameters *a=* 0 and *b* = 12, that is,

Step 3

(b)

Here, it is provided that the sample size (*n*) is 36.

The Central Limit Theorem states that if the sample size is greater than or equal to 30, the...

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