5. Binomial Distribution & Discrete Random Variables

Which of the following statements is true for both the binomial and Poisson distributions?

Driving AgeAccording to a Gallup poll, 60% of U.S. women 18 years old or older stated that the minimum driving age should be 18. In a random sample of 15 U.S. women 18 years old or older, find the probability that: 

e. In a random sample of 200 U.S. women 18 years old or older, what is the expected number who believe that the minimum driving age should be 18? What is the standard deviation?

In a binomial experiment, how many possible outcomes are there for a single trial?

Which of the following is a criterion for a binomial probability experiment?

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

Which statement is not true for a binomial distribution with $n=15$ and $p=\frac{1}{20}$?

Texting and Driving. In Exercises 21–26, refer to the accompanying table, which describes probabilities for groups of five drivers. The random variable x is the number of drivers in a group who say that they text while driving (based on data from an Arity survey of drivers).

Using Probabilities for Significant Events

a. Find the probability of getting exactly 3 drivers who say that they text while driving.

Suppose a binomial experiment consists of $n$ independent trials, each with probability of success $p$. Which of the following expressions gives the probability of observing exactly $k$ successes?

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

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

Assume that a procedure yields a $binomial$ distribution. Which of the following is a necessary condition for the $binomial$ distribution to apply?

In a binomial experiment with $4$ trials and probability of success $p=0.4$, what is the probability of obtaining exactly $3$ successes?

For a binomial distribution with probability of success $p=\frac{1}{4}$ and number of trials $n=36$, what is the expected value of the distribution?

Which of the following is a criterion for a binomial probability experiment?

In a binomial experiment with $n=20$ trials and probability of success $p=0.70$, what is the expected value (mean) of the number of successes?