10 Questions
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?
$2$
What does the MGF of a Bernoulli random variable equal to?
$M(t) = 1 - p + pe^t$
An experiment with only two possible outcomes can be considered a Bernoulli trial.
True
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.
True
The mean of a Bernoulli random variable is equal to its probability of success, $p$.
True
The variance of a Bernoulli random variable is given by $Var(X) = p(1-p)$.
True
The moment generating function of a Bernoulli random variable with probability of success $p$ is $M(t) = 1-p + pe^t$.
False
Test your knowledge on the fundamentals of Bernoulli distribution, a special discrete probability distribution with two possible outcomes: success and failure.
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