Question

It has been suggested that the percentage of drivers in the US that use a blinker when changing lanes is 58%. You plan to observe 50 cars during a lane change. What type of distribution could you use to determine the number of cars you will observe before finding a car that DOES NOT use a blinker during a lane change?

Question 2 options:

a)
Binomial Distribution


b)
Geometric Distribution

c)
Both Binomial or Geometric Distribution


d)
None of the above

Answer 1

The answer is B hope it helps

Answer 2

b) Geometric Distribution

Explanation:

The correct answer is (b) Geometric Distribution.

In this scenario, you are observing a sequence of lane changes until you find a car that does not use a blinker. The geometric distribution models the number of trials needed before a success (finding a car that does not use a blinker) in a sequence of independent and identically distributed binary trials (each trial is a car changing lanes, and the outcome is whether or not the driver uses a blinker).

The binomial distribution is more appropriate when you have a fixed number of trials and are interested in the number of successes in those trials. Here, you are interested in the number of trials needed until the first success.

Therefore, the situation described aligns with the characteristics of a geometric distribution.