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

The probability that a worker chosen at random works at least 8 hours is 0.84

Data obtained from the question

• Probability of 6 hours = 0.02
• Probability of 7 hours = 0.11
• Probability of 8 hours = 0.61
• Probability of 9 hours = 0.15
• Probability of 10 hours = 0.08
• Probability ofatleast8hours=?

How to determine the probability of at least 8 hours

At least 8 hours simply means 8 hours and above

Thus, the probability of at least 8 hours can be obtained as illustrated below:

P(At least 8 hours) = P(8) + P(9) + P(10)

P(At least 8 hours) = 0.61 + 0.15 + 0.08

P(At least 8 hours) =0.84

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