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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 $p=0.6.$

0.24 0.6 0.10 0.4

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by Brilliant Staff

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

1

0

\frac{1}{4}

\frac{1}{2}

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

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}}

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by Brilliant Staff

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

0.76 0.182 0 0.24

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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?

0.2 8 2 0.8

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