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7) Insurance company X estimates that 80% of drivers wear their seat belts regul

ID: 3052658 • Letter: 7

Question

7) Insurance company X estimates that 80% of drivers wear their seat belts regularly. They also estimate that 50% of drivers are over age of 35. A study shows that 40% of drivers who wear their sear belts are over the age of 35. Given these estimates, what is the probability that a driver over the age of 35 wears a seat belt regularly?

8) You shuffle a deck of two red cards and two blue cards. Then you deal the four cards face down. You then turn two cards face up.
1) Draw a decision tree to identify the choices.
2) What is the probability that both cards facing up are red?

9) Create a decision diagram for a major decision in your life. The decision must have at least 3 issues. For instance you are deciding to take an umbrella with you today because there is a chance of rain and you don't you risk ruining your backpack and the papers inside it.

Explanation / Answer

7)

Please see the answer as shown below: -

Looking at the table, we get the value as 32/100=0.32. Hence, the probability that a driver over the age of 35 wears a seat belt regularly is 0.32.

Wear seat belts Do not wear seat belts Total Over 35 32 18 50 Below 35 48 2 50 Total 80 20 100
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