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Questions and Answers
In a Bernoulli trial, what is the probability density function?
In a Bernoulli trial, what is the probability density function?
- $f(x) = p^x(1-p)^{1-x}$ (correct)
- $f(x) = p+x(1-p)$
- $f(x) = p^2(1-p)^2$
- $f(x) = p(1-p)$
What is the mean of a Bernoulli random variable?
What is the mean of a Bernoulli random variable?
- $1-p$
- $p^2(1-p)^2$
- $p$ (correct)
- $p(1-p)$
What does the variance of a Bernoulli random variable equal to?
What does the variance of a Bernoulli random variable equal to?
- $p^2(1-p)^2$
- $p(1-p)$ (correct)
- $p$
- $(1-p)$
What is the probability of getting a score less than 5 in a throw of a six-sided die?
What is the probability of getting a score less than 5 in a throw of a six-sided die?
What does the MGF of a Bernoulli random variable equal to?
What does the MGF of a Bernoulli random variable equal to?
An experiment with only two possible outcomes can be considered a Bernoulli trial.
An experiment with only two possible outcomes can be considered a Bernoulli trial.
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.
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.
The mean of a Bernoulli random variable is equal to its probability of success, $p$.
The mean of a Bernoulli random variable is equal to its probability of success, $p$.
The variance of a Bernoulli random variable is given by $Var(X) = p(1-p)$.
The variance of a Bernoulli random variable is given by $Var(X) = p(1-p)$.
The moment generating function of a Bernoulli random variable with probability of success $p$ is $M(t) = 1-p + pe^t$.
The moment generating function of a Bernoulli random variable with probability of success $p$ is $M(t) = 1-p + pe^t$.
