Question

forty - four percent of the members of the science club wear blue shirts. which of the following is a binomial experiment? selecting eight members randomly and recording whether each member is wearing a blue shirt selecting eight members randomly and recording the number in the group wearing a blue shirt selecting members randomly until one without a blue shirt is chosen selecting members randomly until one with a blue shirt is chosen

Explanation:

A binomial experiment has a fixed number of trials, each trial has only two possible outcomes (success - wearing a blue shirt, failure - not wearing a blue shirt), the probability of success is constant (44% here), and the trials are independent. Selecting eight members randomly and recording whether each member is wearing a blue shirt meets these criteria. Selecting eight members and recording the number in the group wearing a blue shirt is also a binomial experiment as it can be thought of as a series of individual yes - no (wearing blue or not) trials. Selecting members until a certain type is chosen is not a binomial experiment as the number of trials is not fixed.

Answer:

A. Selecting eight members randomly and recording whether each member is wearing a blue shirt
B. Selecting eight members randomly and recording the number in the group wearing a blue shirt