Brilliant

Today Courses

Practice

Algebra
Geometry
Number Theory
Calculus
Probability
Basic Mathematics
Logic
Classical Mechanics
Electricity and Magnetism
Computer Science
Quantitative Finance
Chemistry

Excel in math and science.

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Probability

Discrete Probability Distributions

Concept Quizzes

Discrete Probability Distribution - Uniform Distribution
Bernoulli Distribution
Binomial Distribution
Geometric Distribution
Poisson Distribution

Bernoulli Distribution

Find the variance of the Bernoulli distribution with $p=0.6.$

0.10 0.6 0.24 0.4

Show explanation

View wiki

by Brilliant Staff

Find the expected value of the number of tails when a fair coin is flipped once.

1

\frac{1}{2}

0

\frac{1}{4}

Show explanation

View wiki

by Brilliant Staff

Which of the following represents the probability density function of a Bernoulli distribution with $p=0.93?$

f(x;0.93)={0.93}^x{0.07}^{1-x}\text{ for }x\in\{0,1\}

f(x;93,0.93)=\binom{93}{x}0.93^x0.07^{1-x}

f(x,0.93,0.07)=\frac{1}{0.07\sqrt{2\pi}}e^{-\frac{(x-0.93)^2}{2\times{0.07}^2}}

f(x)=0.93 x\text{ for }x\in[0,\frac{1}{0.93}]

Show explanation

View wiki

by Brilliant Staff

What is the mean of the Bernoulli distribution with $p=0.24?$

0.76 0.182 0 0.24

Show explanation

View wiki

by Brilliant Staff

Consider the Bernoulli distribution with $p=0.8.$ If a sequence of $10$ trials are done, what is the expected value of the number of successes that occur?

2 8 0.2 0.8

Show explanation

View wiki

by Brilliant Staff

Problem Loading...

Note Loading...

Set Loading...