5. Binomial Distribution & Discrete Random Variables

Which statement is not true for a binomial distribution with $n=10$ and $p=\frac{1}{20}$?

Which of the following is an example of a binomial experiment?

Which of the following is a property of binomial distributions?

Which of the following expressions correctly represents the mean of a binomial distribution with parameters $n$ and $p$?

Which of the following is not an example of a binomial distribution?

Which of the following is not a requirement of the binomial probability distribution?

In a binomial experiment with $n=10$ trials and probability of success $p=0.10$, what is the expected value (mean) of the number of successes $\left(E\right(X)=np)$?

Which of the following is not a requirement of the binomial probability distribution?

For the binomial distribution with parameters $n$ and $p$, which of the following expressions gives the probability of exactly $k$ successes in $n$ independent trials?

Which of the following is a necessary condition for using the $binomial$ distribution?

Which of the following graphs best represents the probability mass function of a binomial distribution with $n=20$ and $p=0.25$?

Which of the following scenarios describes a binomial experiment?

LeBron scores $70\%$ of his free throws. If he shoots $30$ free throws, which of the following expressions gives the probability that he makes exactly $21$ of them?

Suppose a binomial probability experiment is conducted with $n=10$ trials and probability of success $p=0.3$. What is the probability of exactly $4$ successes?

In a binomial distribution, how does increasing the value of $n$ (the number of trials) affect the shape of the binomial probability histogram?