Question

Suppose the probability of a car accident taking place anywhere on a 20-mile stretch of highway is the same. Which of the following distributions would you use to determine the probability that a car accident will occur somewhere between the 5-mile and 15-mile posts of the highway?
A. Normal distribution
B. Poisson distribution
C. Uniform distribution
D. Exponential distribution

Answer 1

Answer:

C. Uniform distribution

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that X is between values c and d, in which d is greather than y is given by:

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

In this problem, we have that:

Suppose the probability of a car accident taking place anywhere on a 20-mile stretch of highway is the same, which means that $a = 0, b = 20$

Somewhere between the 5-mile and 15-mile posts of the highway:

$d = 15, c = 5$

So the correct answer is:

C. Uniform distribution