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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?​

Sagot :

Answer:

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

Step-by-step explanation:

Given

See attachment for probability distribution

Required

[tex]P(x \ge 8)[/tex]

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

So:

[tex]P(x \ge 8) = P(x = 8) + P(x = 9) + P(x = 10)[/tex]

By reading the probabilities from the graph, we have:

[tex]P(x \ge 8) = 0.61 + 0.14+ 0.08[/tex]

[tex]P(x \ge 8) = 0.83[/tex]

View image MrRoyal