## Questions and Answers

In a Bernoulli trial, what is the probability density function?

$f(x) = p^x(1-p)^{1-x}$

What is the mean of a Bernoulli random variable?

$p$

What does the variance of a Bernoulli random variable equal to?

$p(1-p)$

What is the probability of getting a score less than 5 in a throw of a six-sided die?

Signup and view all the answers

What does the MGF of a Bernoulli random variable equal to?

Signup and view all the answers

An experiment with only two possible outcomes can be considered a Bernoulli trial.

Signup and view all the answers

The probability density function of a Bernoulli random variable is given by $f(x) = p^x(1-p)^{1-x}$, where $p$ is the probability of success.

Signup and view all the answers

The mean of a Bernoulli random variable is equal to its probability of success, $p$.

Signup and view all the answers

The variance of a Bernoulli random variable is given by $Var(X) = p(1-p)$.

Signup and view all the answers

The moment generating function of a Bernoulli random variable with probability of success $p$ is $M(t) = 1-p + pe^t$.

Signup and view all the answers