The video store charges $4.80 per rental of a DVD. The store spends$5100 on expenses each month. How many videos does the store have to rent to make more money than it spends on expenses?

What are the total expenses of the store?

The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly select freshman from the study until you find one who replies “yes.” You are interested in the number of freshmen you must ask. What is the probability that you will need to ask fewer than three freshmen?

The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly select freshmen from the study until you find one who replies "yes." If you are interested in the number of freshmen you must ask.

In words, define the random variable $X$.

The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status. $X \sim$ (,_____)

The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly select freshman from the study until you find one who replies “yes.” You are interested in the number of freshmen you must ask. $X \sim$ (,_____)

You are playing a game by drawing a card from a standard deck and replacing it. If the card is a face card, you win $30. If it is not a face card, you pay$2. There are 12 face cards in a deck of 52 cards. Should you play the game?

Identify the random variable of interest, X. Then write the probability distribution table for X.

Identify the mistake in the probability distribution table.

$$\begin{matrix} \text{x} & \text{P(x)} & \text{x*P(x)}\\ \text{1} & \text{0.15} & \text{0.15}\\ \text{2} & \text{0.25} & \text{0.40}\\ \text{3} & \text{0.25} & \text{0.65}\\ \text{4} & \text{0.20} & \text{0.85}\\ \text{5} & \text{0.15} & \text{1}\\ \text{Table 4.26}\\ \end{matrix}$$

Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events $35 \%$ of the time, four events $25 \%$ of the time, three events $20 \%$ of the time, two events $10 \%$ of the time, one event $5 \%$ of the time, and no events $5 \%$ of the time

Construct a PDF table.

A company wants to evaluate its attrition rate, in other words, how long new hires stay with the company. Over the years, they have established the following probability distribution. Let X = the number of years a new hire will stay with the company. Let P(x) = the probability that a new hire will stay with the company x years. P(x = 4) = _______

The mean speeds of fastball pitches from two different baseball pitchers are to be compared. A sample of 14 fastball pitches is measured from each pitcher. The populations have normal distributions. Table 10.18 shows the result. Scouters believe that Rodriguez pitches a speedier fastball. What is the p-value?

$$\begin{matrix} \text{Pitcher} & \text{Sample Mean Speed of Pitches (mph)} & \text{ Population Standard Deviation}\\ \text{Wesley} & \text{86} & \text{3}\\ \text{Rodriguez} & \text{91} & \text{7}\\ \text{Table 10.18}\\ \end{matrix}$$

The mean speeds of fastball pitches from two different baseball pitchers are to be compared. A sample of 14 fastball pitches is measured from each pitcher. The populations have normal distributions. The table shows the result. Scouters believe that Rodriguez pitches a speedier fastball.

$$\begin{array}{|l|l|l|} \hline \text { Pitcher } & \text { Sample Mean Speed of Pitches (mph) } & \text { Population Standard Deviation } \\ \hline \text { Wesley } & 86 & 3 \\ \hline \text { Rodriguez } & 91 & 7 \\ \hline \end{array}$$

What is the test statistic?

The U.S. Center for Disease Control reports that the mean life expectancy was $47.6$ years for whites born in 1900 and $33.0$ years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was $45.3$ years with a standard deviation of $12.7$ years. Of the 82 nonwhites, the mean life span was $34.1$ years with a standard deviation of $15.6$ years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.

In words, define the random variable of interest for this test.

The U.S. Center for Disease Control reports that the mean life expectancy was $47.6$ years for whites born in 1900 and $33.0$ years for nonwhites. Suppose that you randomly survey death records for people born in 1900 in a certain county. Of the 124 whites, the mean life span was $45.3$ years with a standard deviation of $12.7$ years. Of the 82 nonwhites, the mean life span was $34.1$ years with a standard deviation of $15.6$ years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.

Is this a test of means or proportions?