Question

The probability that a certain science teacher trips over the cords in her classroom during any independent period of the day is 0.35. On average, how many periods do students need to wait until this science teacher trips over the cords in her classroom?

0.2275

0.35

2.86

3.5

Not enough information to answer this question

Answer 1

Answer:2.86.

Explanation:

We can use the geometric distribution to solve this problem. The geometric distribution models the number of trials needed to achieve the first success in a sequence of independent trials with a constant probability of success.In this case, the probability of success (the teacher tripping over the cords) is 0.35. Therefore, the expected value or mean of the geometric distribution is 1/0.35 ≈ 2.86.So, on average, students need to wait for 2.86 periods until the teacher trips over the cords in her classroom.Therefore, the answer is 2.86.