Homepage › Solution manuals › Joseph Blitzstein › Introduction to Probability › Exercise 3.23

Exercise 3.23

Answers

Let $I_{i}$ be the indicator of the $i$ -th person voting for Kodos. Then, $P (I_{i} = 1) = p_{1} p_{2} p_{3} .$ Since the voters make their decisions independently, we have $n$ independent Bernoulli trials, which is precisely the story for a Binomial distribution.

Thus,

P (X = k) = (\binom{n}{k}) {(p_{1} p_{2} p_{3})}^{k} {(1 - p_{1} p_{2} p_{3})}^{n - k}

fifthist

2021-12-05 00:00

Exercise 3.23

Answers

Comments

Add answer