Understanding Binomial Distribution

What is the probability of getting exactly two heads when flipping a fair coin five times?

• 1/32

• 10/32

• 15/32

• 5/32

What is the probability of getting all five heads in five coin flips?

• 1/32

• 15/32

• 10/32

• 5/32

What is the probability of getting zero heads in five coin flips?

• 5/32

• 1/32

• 15/32

• 10/32

What is the probability of getting exactly four heads in five coin flips?

• 10/32

• 15/32

• 5/32

• 1/32

Which of the following best describes a discrete probability distribution?

• A distribution that is always normal

• A distribution that is continuous

• A distribution with a finite number of specific values

• A distribution with an infinite number of possible values

As the number of trials increases, what does the binomial distribution approach?

• A uniform distribution

• A bell curve

• A flat line

• A skewed distribution

How does a binomial distribution differ from a normal distribution?

• It is continuous

• It has a finite number of outcomes

• It is always skewed

• It is always symmetric

Why is it important to understand the assumptions of a binomial distribution in statistics?

• Because it is the only distribution used in statistics

• Because it always leads to accurate predictions

• Because it simplifies all statistical problems

• Because it helps in understanding the underlying mechanism

What is the significance of the binomial coefficient in a binomial distribution?

• It determines the number of trials

• It calculates the probability of each outcome

• It is used to find the mean of the distribution

• It represents the total number of outcomes

Why is it called a binomial distribution?

• Because it involves two variables

• Because it is based on binomial coefficients

• Because it is always normal

• Because it has only one outcome