a) What is the variance of the sum of n independent random variables? b) What is the variance of the number of successes when n independent Bernoulli trials, each with probability p of success, are carried out?

trkalo84

trkalo84

Answered question

2022-09-22

a) What is the variance of the sum of n independent random variables? b) What is the variance of the number of successes when n independent Bernoulli trials, each with probability p of success, are carried out?

Answer & Explanation

Rayna Aguilar

Rayna Aguilar

Beginner2022-09-23Added 14 answers

(a) It’s equal to the sum of the variances since the trials are independent
(b) The variance of the number of success is given by np(1−p) by adding the answer of Question 12b n times due to the linearity of variance in independent variables.

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