4. Probability, Random Variables, and Probability Distributions

Geometric Distributions — Quiz

Test your understanding of geometric distributions with 5 practice questions.

Practice Questions

Question 1

A student keeps taking shots at a basketball hoop until making the first basket. If the probability of making a shot on any attempt is $p$, what kind of random variable counts the number of attempts until the first basket is made?

Question 2

Which situation is best modeled by a geometric distribution?

Question 3

A fair coin is tossed repeatedly until the first heads appears. What is the probability that the first heads occurs on the third toss?

Question 4

A geometric random variable $X$ counts the number of trials until the first success, with success probability $p$. What is the mean of $X$?

Question 5

A machine produces parts, and each part has probability $0.10$ of being defective. Assume parts are independent. What is the probability that the first defective part occurs on the first part inspected?