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 fixed number of trials, each trial independent, two outcomes (success/failure), and constant probability.

• Option 1: Selecting 8 members (fixed trials), each trial (member) has two outcomes (blue/non - blue), independent, probability 0.44 constant.
• Option 2: Recording the number is the binomial random variable, not the experiment.
• Option 3: No fixed number of trials (geometric - like, waiting for non - blue), not binomial.
• Option 4: No fixed number of trials (geometric - like, waiting for blue), not binomial.

Answer:

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