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Mothers Against Drunk Driving is a very visible group whose focus is to educate the public about the harm caused by drunk drivers. A study

Mothers Against Drunk Driving is a very visible group whose focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below:

Number of Vehicles Involved
1 2 3 Totals
Did alcohol play a role? Yes 75 150 50 275
No 25 125 75 225
Totals 100 275 125 500

  1. What proportion of accidents involved more than one vehicle?

  1. What proportion of accidents involved alcohol and a single vehicle?

  1. What proportion of accidents involved alcohol or a single vehicle?

  1. Given alcohol was involved, what proportion of accidents involved a single vehicle?

  1. Given that multiple vehicles were involved, what proportion of accidents involved alcohol?

  1. Given that 3 vehicles were involved, what proportion of accidents involved alcohol?

  1. Given that alcohol was not involved, what proportion of the accidents were single vehicle?

  1. Given that alcohol was not involved, what proportion of the accidents were multiple vehicle?

The next state lottery will have the following payoffs possible with their associated probabilities.

Payoff Probability
$2.00 0.0500
$25.00 0.0100
$100.00 0.0050
$500.00 0.0010
$5,000.00 0.0005
$10,000.00 0.0001

You buy a single ticket.

9. The probability that you win any money is ________.

10. The probability that you win at least $100.00 is ________.

11. If you have a winning ticket, the probability that you win at least $100.00 is ________.

Excel Sheet 1: Uses a data set that has 32 observations and information on three variables. The variables are ID (identification number), Hand (dominant hand), Gender, and Height in inches. Use this data set to answer the following questions.

Create a pivot tables using the data provided to answer the following questions. Based on the information provided in the pivot table create a frequency table for gender and hand.

12. The number of left handers

13. The percent of females

14. The percent of males that are right-handed.

  1. The average height of the study participants
  2. The average height of females
  3. What is the probability that a participant is left-handed?
  4. What is the probability that a study participant was female and right-handed?
  5. Given a participant is left-handed what is the probability they are male?
  6. Given a participant is a male, what is the probability that study participants are left-handed?

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