A gardener plants 20 seeds, and each seed has an initially unknown probability of germinating, depending on the seed's type and age.

Among employed

women, 25% have never been married.  Suppose

we randomly sample women in a particular business office. 

As the number of required successes, r, in a negative binomial distribution increases, the distribution becomes less skewed and more symmetric.

If the number of trials, n, in a binomial distribution is increased while keeping the probability of success, p, constant, the variance of the distribution decreases.

Since every outcome has the same probability, the uncertainty is maximized in a discrete uniform distribution compared to distributions where some outcomes are more likely than others.

A college administrator randomly samples students until he finds four that have volunteered to work for a local organization. Let X equal the number of students sampled. 

Indicate whether the following statement is true or false: "X is a binomial random variable"

It has been determined that 5% of drivers checked at a road stop show traces of alcohol and 10% of drivers checked do not wear seat belts. In addition, it has been observed that the two infractions are independent from one another. If an officer stops five drivers at random,  what is the probability that exactly three of the drivers have committed at least one of these offenses?

If a random variable X follows a Bernoulli distribution then:

P(X=0) + P(X=1) = 1