topic badge

8.02 Binomial distribution

Interactive practice questions

Which of the following statements is true?

In a binomial experiment, there are $n$n repeated, dependent trials.

A

In a binomial experiment, there are $n$n repeated, independent trials.

B

In a binomial experiment, there are exactly two trials.

C

In a binomial experiment, there is exactly one trial.

D
Easy
< 1min

Which of the following statements is true?

Easy
< 1min

Does rolling a six-sided die $20$20 times and counting the number of times the die lands on $1$1 describe a binomial random variable?

Easy
< 1min

Can the sum of the outcomes of rolling a six-sided die $10$10 times describe a binomial random variable?

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

4.3.2.1

understand the concepts of Bernoulli trials and the concept of a binomial random variable as the number of β€˜successes’ in 𝑛 independent Bernoulli trials, with the same probability of success 𝑝 in each trial

4.3.2.2

identify contexts suitable for modelling by binomial random variables

4.3.2.3

determine and use the probabilities 𝑃(𝑋=π‘Ÿ) = {nr} 𝑝^π‘Ÿ(1 βˆ’ 𝑝)^(n-r) associated with the binomial distribution with parameters 𝑛 and p

4.3.2.4

calculate the mean 𝑛p and variance 𝑛p(1βˆ’π‘) of a binomial distribution using technology and algebraic methods

What is Mathspace

About Mathspace