MATH

A local politician claims that 1 in 5 automobile accidents involve a teenage driver. He is advocating increasing the age at which teenagers can drive alone. Over a 2 month period, there are 67 accidents in your city, and only 9 of them involve a teenage driver. If the politician is correct, what is the chance that you would have observed 9 or less accidents involving teenagers?

I have the correct answer, it's 0.0524, but I don't understand how to get this answer. Please help. (I would like to know how to do this by hand and also using a TI-84 calculator)

1. 👍 0
2. 👎 0
3. 👁 164
1. Prob(9 or less accidents involving teenagers)
= P(1 teenager involved) + P(2 teens involved) + ...+ P(9teens involved)
or
= 1 - P(no teen involved in 9 accidents)

Now when you say, "If the politician is correct" I will assume that we should use his/her data, and we would get.
Prob(teen involved) = .2
prob(no teen involved) = .8

P(as stated) = 1 - .8^9 = .86578

IF we use the actual data
P(teen involved) = 9/67 = .134328
P(no teen involved) = 58/67 = .865672 , (note they a add up to 1)

Prob(as stated) = 1 - (58/67)^9 = .72699

Somehow I think that I misunderstand the question

1. 👍 0
2. 👎 0

Similar Questions

1. English

Identify the sentence fragments below and rewrite them to make them into complete sentences. Remember to use capitalization and punctuation. -Advertising in the local newspaper and online. -The politician, whom I used to like,

2. science

A person drive an automobile with a mass of 450 kilograms at a velocity of 26 meters per second. The driver accelerates to a velocity of 30 meters per second. The difference in the automobile's kinetic energy is how many joules?

3. Physics

The “reaction time” of the average automobile driver is about 0.7 s. (The reaction time is the interval between the perception of a signal to stop and the application of the brakes.) If an automobile can slow down with an

4. physics

The "reaction time" of the average automobile driver is about 0.700 s. (The reaction time is the interval between the perception of a signal to stop and the application of the brakes.) If an automobile can slow down with an

1. Physics

Traveling at a speed of 16.1 m/s, the driver of an automobile suddenly locks the wheels by slamming on the brakes. The coefficient of kinetic friction between the tires and the road is 0.720. What is the speed of the automobile

2. physics

An automobile moving at a constant velocity of 15 m/s passes a gasoline station. Two seconds later, another automobile leaves the station and accelerates at a constant rate of 2 m/s^2 in the same direction as the 1st automobile.

3. physics

An automobile driver puts on the brakes and decelerates from 30.0 m/s to zero in 15.0 s. What distance does the car travel?

4. Physics

An automobile driver puts on the brakes and decelerates from 30.0 m/s to 0 in 10.0 s. What distance does the car travel?

1. English

Figurative meaning involves which two traits? They work with connotative meaning. A. They involve exact definitions. B. They involve representations. C. They typically involve neutral writing. D. They contain strictly literal

2. statistics

Suppose that the number of accidents occurring in an industrial plant is described by a Poisson process with an average of 1.5 accidents every three months. During the last three months, four accidents occurred. (a)probability

3. stats

The probability is 0.35 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In ten traffic fatalities, find the probability that the number, Y, which involve an intoxicated or

4. Math

Let Pn=0,1,2....be the probability that an automobile policyholder will file for n claims in a five-year period. The Actuary involved make the assumption that Pn+1=(1/4)Pn. What is the probability that the holder will file two or