Question

The average production of all the machines in a fabrication is 15 finished materials in hour with a standard deviation of 3 materials per hour. What is the probability that a sample of 5 machines will produce more than 17 materials per hour?

Answer 1

Step-by-step explanation:

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The average production of all the machines in a fabrication is 15 finished materials in hour with a standard deviation of 3 materials per hour. What is the probability that a sample of 5 machines will produce more than 17 materials per hour?

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Answer 2

Given,

The average production = 15 materials in an hour

The standard deviation = 3 materials per hour

To Find,

The probability that a sample of 5 machines will produce more than 17 materials per hour =?

Solution,

The average production(μ) = 15 materials in an hour

The standard deviation(σ ) = 3 materials per hour

For the normal distribution,

z = (17 - 15)/3 = 0.66

Therefore, the probability that a sample of 5 machines will produce more than 17 materials per hour = 0.5 - 0.248 = 0.25

Hence, the probability that a sample of 5 machines will produce more than 17 materials per hour is 0.25.