Question

S the experiment a binomial expenment?
A. Yes
B. No

Answer 1

A binomial experiment is a statistical experiment that satisfies three conditions: fixed number of trials, two possible outcomes, and independent trials. Joe's experiment of flipping a coin until getting four heads in a row does not qualify as a binomial experiment since it does not have a fixed number of trials.

Step-by-step explanation:

A binomial experiment is a statistical experiment that satisfies three conditions:

1. There is a fixed number of trials, denoted by n.
2. There are only two possible outcomes, called success and failure, for each trial, denoted by the letters P and q respectively, where P represents the probability of success and q represents the probability of failure.
3. The trials are independent and repeated under identical conditions.

In order to determine if Joe's experiment qualifies as a binomial experiment, we need to check if these three conditions are met. If Joe flips the coin a fixed number of times (e.g. 10 times) and records the number of times he gets four heads in a row, then his experiment would qualify as a binomial experiment. However, if he continues flipping the coin until he gets four heads in a row, then his experiment would not be considered a binomial experiment because it does not have a fixed number of trials.