Question

Among 400 randomly selected drivers in the 20 minus 24 age​ bracket, 11 were in a car crash in the last year. If a driver in that age bracket is randomly​ selected, what is the approximate probability that he or she will be in a car crash during the next​ year? Is it unlikely for a driver in that age bracket to be involved in a car crash during a​ year? Is the resulting value high enough to be of concern to those in the 20 minus 24 age​ bracket? Consider an event to be​ "unlikely" if its probability is less than or equal to 0.05. The probability that a randomly selected person in the 20 minus 24 age bracket will be in a car crash this year is approximately nothing.

Answer 1

Answer:

The approximate probability that he or she will be in a car crash during the next​ year is 0.0275, Yes, it would be unlikely. But it would not be unusual.  No, The resulting value is not high enough.

Step-by-step explanation:

Consider the provided information.

Among 400 randomly selected drivers in the 20-24 age​ bracket, 11 were in a car crash in the last year.

We need to find the approximate probability that he or she will be in a car crash during the next​ year.

Part(A)

Let P(E) is the probability that he or she will be in a car crash during the next​ year.

$P(E)=\frac{\text{Favorable Outcomes}}{\text{Total outcomes}}$

The favorable outcomes is 11 and total number of outcomes is 400.

Substitute the respective values in the above formula.

$P(E)=\frac{11}{400}$

$P(E)=0.0275$

Hence, the approximate probability that he or she will be in a car crash during the next​ year is 0.0275

Part(B)

It is given that an event to be​ "unlikely" if its probability is less than or equal to 0.05.

0.0275 is less than 0.05

Yes, it would be unlikely. But it would not be unusual.

Part(C)

No, The resulting value is not high enough.