According to an American Automobile Association study, 80% of drivers admit to d

Question

According to an American Automobile Association study, 80% of drivers admit to driving with a pet in the car, and of those, 20% allow their dogs to sit on their laps, 13 Suppose that you randomly select a sample of 100 drivers who have admitted to driving with a pet in their car. a. What is the probability that 25% or more of the drivers allow their dogs to sit on their laps? b. What is the probability that 10% or fewer of the drivers allow their dogs to sit on their laps? C. Would it be unusual to find that 35% of the drivers allow their dogs to sit on their laps?

Explanation / Answer

Total number of sample =100

This is a sample of all those who keep pets in thier car.

Of these, 20% allow pets on lap.

Thus there can be at max 20 drivers who allow per on thier laps.

A and C). Thus probablity of more than 20 drivers having pets on thier lap is ZERO.

b).Probablity of a driver having pet in lap =20/100=1/5

Now one, two ,three or four or five or... ten drivers can have pets in lap.

Probablity of 10% or lower alowing pets on lap =1/5+1/52 +1/53 +...+1/510

=0.250 (Answer)

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