a_place_of_ur_imagination
Dhiraj Beriwal
What is a binomial experiment?
A binomial experiment has the following characteristics:
• The experiment involves repeated trials.
• Each trial has only two possible outcomes - a success or a failure.
• The probability that a particular outcome will occur on any given trial is constant.
• All of the trials in the experiment are independent.
A series of coin tosses is a perfect example of a binomial experiment. Suppose we toss a coin three times. Each coin flip represents a trial, so this experiment would have 3 trials. Each coin flip also has only two possible outcomes - a Head or a Tail. We could call a Head a success; and a Tail, a failure. The probability of a success on any given coin flip would be constant (i.e., 50%). And finally, the outcome on any coin flip is not affected by previous or succeeding coin flips; so the trials in the experiment are independent.
A binomial experiment has the following characteristics:
• The experiment involves repeated trials.
• Each trial has only two possible outcomes - a success or a failure.
• The probability that a particular outcome will occur on any given trial is constant.
• All of the trials in the experiment are independent.
A series of coin tosses is a perfect example of a binomial experiment. Suppose we toss a coin three times. Each coin flip represents a trial, so this experiment would have 3 trials. Each coin flip also has only two possible outcomes - a Head or a Tail. We could call a Head a success; and a Tail, a failure. The probability of a success on any given coin flip would be constant (i.e., 50%). And finally, the outcome on any coin flip is not affected by previous or succeeding coin flips; so the trials in the experiment are independent.