Forty-four percent of the members of the Science Club wear blue shirts. Identify the binomial experiment from the following.

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

C.) Selecting members randomly until one without a blue shirt is chosen

D.) Selecting members randomly until one with a blue shirt is chosen

Question

Mathematics

Alisa

29 December, 13:45

Forty-four percent of the members of the Science Club wear blue shirts. Identify the binomial experiment from the following.

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

C.) Selecting members randomly until one without a blue shirt is chosen

D.) Selecting members randomly until one with a blue shirt is chosen

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Answers (1)

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Jeremy Bradshaw · Answer 1

A binomial experiment is a statistical experiment with the following properties: (1) The experiment consists of n repeated trials. (2) Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure. The probability of success, denoted by p, is the same on every trial. Given that forty-four percent of the Science Club members wear blue shirts, we can refer wearing a blue shirt as success and the probability of success is 44% = 0.44. Therefore, the binomial experiment will be "Selecting eight members randomly and recording whether each member is wearing a blue shirt?