Question

an insurance company has the following information about drivers aged 16 to 18 years: 20% are involved in accidents each year; 10% are honor students; among those involved in an accident, 5% are honor students. let h be the event that a young driver is an honor student and a be the event that a young driver is involved in an accident. state the probabilities given in terms of events h and a.

Answer 1

The random variable X represents the number of teens who die from motor vehicle injuries per day in the United States. It follows a Poisson distribution, and can take on any non-negative integer value. The probabilities can be calculated using the Poisson distribution formula.

Step-by-step explanation:

The random variable X can be defined as the number of teens who die from motor vehicle injuries per day in the United States.

X~(Poisson), which means that it follows a Poisson distribution with a certain average rate.

X can take on any non-negative integer value, including zero. The possible values of X are 0, 1, 2, 3, and so on.

To calculate the probabilities, we need to know the average rate, which is given as eight teens per day in the United States. Using the Poisson distribution formula, we can calculate the probability of observing each value of X. For example, the probability of zero teens being killed from motor vehicle injuries in a day is e^(-8) = 0.000335.

Based on the information given, it is unlikely that there will be no teens killed from motor vehicle injuries on any given day in the United States, but the probability is not zero.