Free PMF Binomial Distribution Questions and Answers

Question 1

How many possible outcome(s) has a Binomial probability?

Accepted Answer

2

Answer

A Binomial probability has two possible outcomes: success or failure. It is a discrete probability distribution that models the number of successes in a fixed number of independent Bernoulli trials, where each trial has the same probability of success. Therefore, the correct answer is 2.

Question 2

In an experiment, a tossed coin has how many outcomes?

Accepted Answer

2

Answer

When a coin is tossed, there are two possible outcomes: the coin landing on its heads side or the coin landing on its tails side. These outcomes are mutually exclusive, meaning that only one of them can occur at a time. The outcome of a coin toss is random and depends on various factors, such as the force and angle of the toss, the height from which the coin is dropped, and air resistance. Despite these factors, the probability of getting either heads or tails in a fair coin toss is equal, which is 1/2 or 50% for each outcome. It is important to note that the coin does not have a memory of previous tosses, meaning that the outcome of one coin toss does not affect the outcome of any future tosses. Each toss is an independent event with the same probabilities for heads and tails.

Question 3

The first variable n in a Binomial experiment shows the _____ the experiment is performed.

Accepted Answer

Number of times

Answer

The first variable 'n' in a binomial experiment represents the number of times the experiment is performed, which is also referred to as the number of trials or the sample size. In a binomial experiment, there are two possible outcomes (success or failure), and the experiment is repeated a fixed number of times (n). The binomial probability distribution helps to calculate the probability of achieving a specific number of successes (k) in n trials.

Question 4

In Binomial probability experiments, the number of trials must be fixed.

Accepted Answer

TRUE

Answer

In binomial probability experiments, the number of trials must be fixed because the binomial distribution is based on a fixed number of independent trials, each with only two possible outcomes (success or failure). The probability of success and failure remains constant for each trial, and the number of trials determines the shape and characteristics of the binomial distribution. Therefore, it is necessary to have a fixed number of trials in order to accurately calculate and analyze the probabilities in a binomial experiment.

Question 5

In Binomial Distribution, each trial must be independent.

Accepted Answer

TRUE

Answer

In Binomial Distribution, each trial must be independent. This means that the outcome of one trial does not affect the outcome of any other trial. Each trial is considered to be separate and unrelated to the others. This is a fundamental assumption in the binomial distribution, as it allows for the calculation of probabilities based on the number of successes and failures in a fixed number of independent trials.

PMF - Probability Mass Function Practice Test

PMF - Probability Mass Function Practice Test

Free PMF Binomial Distribution Questions and Answers