Probability and Bernoulli Trials

Probability and Bernoulli Trials

Assessment

Interactive Video

Mathematics

11th - 12th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial introduces the Bernoulli distribution, a discrete probability distribution, using a coin toss example. It explains the probability mass function, calculating probabilities for success and failure, and the mean and variance of a Bernoulli random variable. An example involving the probability of randomly selecting a lawyer in the US is provided. The tutorial concludes with an introduction to related distributions built on Bernoulli trials, such as the binomial, geometric, and negative binomial distributions.

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18 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Bernoulli distribution used to model?

The number of tails in a single coin toss

The number of heads in a single coin toss

The number of heads in multiple coin tosses

The number of tails in multiple coin tosses

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a Bernoulli trial, what are the two possible outcomes?

Pass and fail

Win and lose

Heads and tails

Success and failure

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the probability of success represented in a Bernoulli trial?

By the letter s

By the letter r

By the letter p

By the letter q

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the probability mass function of a Bernoulli distribution?

p^x * (1-p)^(1-x)

p^(1-x) * (1-p)^x

p^x + (1-p)^(1-x)

p^(1-x) + (1-p)^x

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What values can the random variable X take in a Bernoulli distribution?

0 and 1

1 and 3

1 and 2

0 and 2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the probability of success in a Bernoulli trial if p = 0.3?

0.5

1.0

0.7

0.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If p = 0.4 in a Bernoulli trial, what is the probability of failure?

0.5

0.6

0.4

0.7

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