3. Discrete Random Variables

Bernoulli Model — Quiz

Test your understanding of bernoulli model with 5 practice questions.

Practice Questions

Question 1

In a sequence of independent Bernoulli(p) trials, what is the probability that the second success occurs on the fifth trial?

Question 2

Which expression gives the expected number of trials $N$ until the first success in a geometric distribution with success probability $p$?

Question 3

Which expression gives the variance $\mathrm{Var}(N)$ of the number of trials until the first success for a geometric distribution with success probability $p$?

Question 4

In the geometric distribution for $N$ (the trial of first success), what is $P(N\text{ is odd})$?

Question 5

Given independent Bernoulli(p) trials, what is $P\bigl(\text{no successes in the first two trials}\mid\text{third trial is a success}\bigr)$?