91Ó°ÊÓ

Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable. (a) The number of defects in a roll of carpet. (b) The distance a baseball travels in the air after being hit. (c) The number of points scored during a basketball game. (d) The square footage of a house.

Determine whether the distribution is a discrete probability distribution. If not, state why. $$\begin{array}{|l|l|} \hline x & f(x) \\ \hline 0 & 0.2 \\ \hline 1 & 0.2 \\ \hline 2 & 0.2 \\ \hline 3 & 0.2 \\ \hline 4 & 0.2 \\ \hline \end{array}$$

Determine which of the following probability experiments represents a binomial experiment. If the probability experiment is not a binomial experiment, state why. Three cards are selected from a standard 52 -card deck with replacement. The number of aces selected is recorded.

Determine whether the distribution is a discrete probability distribution. If not, state why. $$\begin{array}{|l|l|} \hline x & f(x) \\ \hline 0 & 0.1 \\ \hline 1 & 0.5 \\ \hline 2 & 0.05 \\ \hline 3 & 0.25 \\ \hline 4 & 0.1 \end{array}$$

Determine whether the distribution is a discrete probability distribution. If not, state why. $$\begin{array}{|l|l|} \hline x & f(x) \\ \hline 10 & 0.1 \\ \hline 20 & 0.23 \\ \hline 30 & 0.22 \\ \hline 40 & 0.6 \\ \hline 50 & -0.15 \end{array}$$

Determine whether the distribution is a discrete probability distribution. If not, state why. $$\begin{array}{|l|l|} \hline x & f(x) \\ \hline 1 & 0 \\ \hline 2 & 0 \\ \hline 3 & 0 \\ \hline 4 & 0 \\ \hline 5 & 1 \\ \hline \end{array}$$

Determine which of the following probability experiments represents a binomial experiment. If the probability experiment is not a binomial experiment, state why. An investor randomly purchases 10 stocks listed on the New York Stock Exchange. Historically, the probability that a stock listed on the NYSE will increase in value over the course of a year is \(48 \% .\) The number of stocks that increase in value is recorded.

Determine whether the distribution is a discrete probability distribution. If not, state why. $$\begin{aligned} &\begin{array}{|l|l|} \hline x & f(x) \\ \hline 100 & 0.1 \\ \hline 200 & 0.25 \\ \hline 300 & 0.2 \\ \hline 400 & 0.3 \\ \hline 500 & 0.1 \\ \hline \end{array}\\\ &\\\ & \end{aligned}$$

Determine which of the following probability experiments represents a binomial experiment. If the probability experiment is not a binomial experiment, state why. According to Nielsen Media Research, \(70 \%\) of all U.S. households have cable television. In a small town of 40 households, a random sample of 10 households is asked whether they have cable television. The number of households with cable television is recorded.

A binomial probability experiment is conducted with the given parameters. Compute the probability of \(x\) success in the \(n\) independent trials of the experiment. \(n=10, p=0.4, x=3\)