Exam 5: Modeling Variation With Probability

A certain baseball player has a hit 10 times in every 30 times at bat on average. Assume that having a hit is a random event. Which of the following experiments would not simulate this situation?

Is the following an example of theoretical probability or empirical probability? Joyce and Joel roll two dice 50 times and record their results in the accompanying chart. They calculate the number of times 7 was rolled. This is an example of what type of probability?

Use your intuition to decide whether the following events are likely to be independent or associated. Event A: The randomly selected carton of milk you purchased from the store is sour. Event B: Your car won't start on a randomly selected morning.

Which of the following statements is not true about probability?

Which of the following statements is true about the Law of Large Numbers (LLN)?

Use the following table to answer questions . A random sample of car buyers was asked to respond to asurvey about what was the most important quality of the car they purchased. This question is summarized in the table below. The important contributors were fuel efficiency, looks, manufacturer reputation, price or other. -If one car buyer is randomly chosen from the group, what is the probability that the buyer is female?

Jody flips a coin ten times and observes the outcome of heads three times. Yvonne flips a coin one hundred times and observes the outcome of heads forty-eight times. Jody states that his coin must not be fair because so few heads were observed. Pretend you are Yvonne and explain to Jody why his results do not indicate that he has an unfair coin by explaining to him what the Law of Large Numbers is, and how it justifies the results that were observed in both experiments.

Use your intuition to decide whether the following two events are likely to be independent or associated. Event A: You roll a number larger than four on a die. Event B: Rolling a six on a die.

Use your intuition to decide whether the following events are likely to be independent or associated. Event A: A randomly selected person is married with no children. Event B: A randomly selected person opposes a tax credit for children.

Which of the following are mutually exclusive events?

Use the following table to answer questions . A random sample of college students was asked to respond to a survey about how they spend their free time on a week night. One question, summarized in the table below, asked each respondent to choose the one activity that they are most likely to participate in on a Wednesday afternoon/evening. The activity choices were homework, housework, outside employment, recreation, or other. -Compare the probability that a randomly chosen female student was engaged in recreation versus a male student on a Wednesday afternoon/evening. (Round to the nearest thousandth)

Use the following information and Venn diagram to answer questions . A survey of 64 members of a UFO club revealed the following information: 45 believe that we never landed on the moon 49 believe that they have been abducted by space aliens 42 believe both of these things The Venn diagram below helps depict these data. Let U be the set of people who were surveyed. Let E be the set of people who believe that we never landed on the moon. Let A be the set of people who believe that they have been abducted by space aliens. Then we have the following Venn diagram showing the relationship between sets E, A and U: -How many believe that we never landed on the moon but that they have not been abducted by space aliens?

Use the following table to answer questions . A random sample of car buyers was asked to respond to asurvey about what was the most important quality of the car they purchased. This question is summarized in the table below. The important contributors were fuel efficiency, looks, manufacturer reputation, price or other. -If one car buyer is randomly chosen from the group, what is the probability that the buyer chose a car based on "looks" as their most important factor for the purchase?

Use the following table to answer questions . A random sample of college students was asked to respond to a survey about how they spend their free time on a week night. One question, summarized in the table below, asked each respondent to choose the one activity that they are most likely to participate in on a Wednesday afternoon/evening. The activity choices were homework, housework, outside employment, recreation, or other. -Using this example, state two events that are mutually exclusive.

Use the following table to answer questions . A random sample of car buyers was asked to respond to asurvey about what was the most important quality of the car they purchased. This question is summarized in the table below. The important contributors were fuel efficiency, looks, manufacturer reputation, price or other. -If one car buyer is randomly chosen from the group, what is the probability that the buyer is male and chose "manufacturer reputation" as their most important factor for the purchase?

Use your intuition to decide whether the following two events are likely to be independent or associated. Event A: Drawing a club from a deck of cards. Event B: Drawing a card with a black symbol from a deck of cards.

Use the following table to answer questions . A random sample of car buyers was asked to respond to asurvey about what was the most important quality of the car they purchased. This question is summarized in the table below. The important contributors were fuel efficiency, looks, manufacturer reputation, price or other. -If one car buyer is randomly chosen from the group, what is the probability that the buyer is female and chose "fuel efficiency" or "other" as their most important factor for the purchase?

Use the following table to answer questions ). A random sample of adults was asked to respond to a survey about whether they use their cell phones to shop for a specific item. One question, summarized in the table below reflecting probabilities, asked each respondent to choose whether or not they use a cell phone app to shop. The major age groupings were under 40 or 40 years or older. -If one adult is randomly chosen from the group, what is the probability that the adult is 40 years or older?

Which of the following statements is true about the "law of large numbers" (LLN)?

The National Center for Health Statistics has found that there is a 0.41% chance that an American citizen will die from falling. What is the probability that you will not die from a fall? Round to the nearest hundredth of a percent)