forty - four percent of the members of the science club wear blue shirts. which of the following is a…

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

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

Answer

Answer:

A. Selecting eight members randomly and recording whether each member is wearing a blue shirt

Explanation:

Step1: Recall binomial experiment criteria

A binomial experiment has fixed number of trials, each trial has only two outcomes (success - wearing blue shirt, failure - not wearing blue shirt), probability of success is constant (44% here), and trials are independent.

Step2: Analyze option A

There are 8 fixed - number of trials (selecting 8 members), each trial has two outcomes (wearing blue or not), probability of wearing blue is 44% for each member (constant), and selections are independent.

Step3: Analyze option B

Recording the number in the group wearing a blue shirt is a count, not a series of yes - no outcomes for each trial as required in binomial experiment.

Step4: Analyze option C

The number of trials is not fixed as we keep selecting until a non - blue shirt member is chosen.

Step5: Analyze option D

The number of trials is not fixed as we keep selecting until a blue shirt member is chosen.