20
QuizMultiple Choice

Binomial Distribution — Quiz

Question 20 • Algebra II

Forty-four percent of the members of the Science Club wear blue shirts. Which of the following is a binomial experiment?

Answer
A
Selecting members randomly until one with a blue shirt is chosen
B
Selecting eight members randomly and recording whether each member is wearing a blue shirt
C
Selecting members randomly until one without a blue shirt is chosen
D
Selecting eight members randomly and recording the number in the group wearing a blue shirt

Explanation

A binomial experiment has a fixed number of trials, two possible outcomes on each trial, and counts the number of successes. In choice D, eight members are selected, and success can be defined as wearing a blue shirt; the count of successes is recorded. Choices A and C do not have a fixed number of trials because selection continues until a specified outcome occurs.

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