Question

which of the following is a binomial experiment? a) flipping a coin until it comes up tails b) flipping a coin until 8 heads are recorded c) flipping a coin 10 times and recording if it comes up heads d) flipping a coin by 10 different people and recording the age of each person

Answer 1

Flipping a coin 10 times and recording if it comes up heads is an example of binomial experiment. Option (c) is correct.

Further Explanation:

Given:

The options are follows,

(a). Flipping a coin until it comes up tails.

(b). flipping a coin until 8 heads are recorded

(c). flipping a coin 10 times and recording if it comes up heads

(d). flipping a coin by 10 different people and recording the age of each person

Explanation:

Conditions for binomial experiment are as follows,

(1). The experiment should be independent means that the probability of successive trial will not be affected by the previous trial.

(2). The experiment should have a finite number of trials.

(3). The probability of success will remain same for each trial.

(4). The experiment should have only two outcomes.

Flipping a coin has only two outcomes head or tail.

Flipping a coin 10 times and recording if it comes up heads is an example of binomial experiment. Option (c) is correct.

Option (a) is not a binomial experiment as the experiment is not for finite number of times.

Option (b) is not a binomial experiment as the experiment is not for finite number of times.

Option (c) is a binomial experiment.

Option (d) is not a binomial experiment as the experiment doesn’t have the same probability of occurrence.

Learn more:

1. Learn more about normal distribution brainly.com/question/12698949

2. Learn more about standard normal distribution brainly.com/question/13006989

3. Learn more about confidence interval of mean brainly.com/question/12986589

Answer details:

Grade: College

Subject: Statistics

Chapter: Binomial experiment

Keywords: binomial experiment, flipping a coin, tails, heads, recorded, 10 different people, probability, each person.

Answer 2

A binomial experiment must have all of the following:
a) A fixed number of trials.
b) The result of each trial is not affected by the results of the other trials (independence).
c) The probability of a 'success' is the same for each trial.
d) Each trial has only two possible outcomes, which are usually called 'success' and 'failure'.
Using the above criteria, the only choice of answer that qualifies as a binomial experiment is c) "flipping a coin 10 times and recording if it comes up heads."