Question

ten numbers are to be randomly sampled from the unit-normal distribution, squared and then summed. Which...

ten numbers are to be randomly sampled from the unit-normal distribution, squared and then summed. Which statement describes the distribution of the result and why?

a binomial distribution with n=10 and p=0.5

a Poisson distribution

a beta distribution with both shape parameters equal to 10

the normal distribution with standard deviation 10

a chi-squared distribution

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Answer #1

Correct option:

a chi- squared distribution

EXPLANATION:
By Theorem, the the distribution of the sum of squares of independent standard normal variables is a chi - squared distribution.

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