Question

The human resources managet at a company records the length in hours of one shift at work, X. He created the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours?​

Answer 1

The probability that a worker chosen at random works at least 8 hours is 0.83

Explanation:

Given

See attachment for probability distribution

Required

`P(x \ge 8)`

At least 8 hours means that a worker works for 8 hours or more.

So:

`P(x \ge 8) = P(x = 8) + P(x = 9) + P(x = 10)`

By reading the probabilities from the graph, we have:

`P(x \ge 8) = 0.61 + 0.14+ 0.08`

`P(x \ge 8) = 0.83`