A sample of 10 turbines is selected randomly, without replacement, from your company's stock of 50 turbines. We expect that about 5 of these turbines to have issues of thermal fatigue. What is the probability that, in this sample of 10, 1 or more shows signs of thermal fatigue?

The probability that at least 1 turbine shows issues of thermal fatigue is 0.999

Step-by-step explanation:

Let X = number of turbines that have issues of thermal fatigue.

It is provided that 5 of the 50 turbines, in company's stock, have issues of thermal fatigue.

The probability of a turbine having issues of thermal fatigue is:

A sample of n = 10 turbines are selected.

The random variable X follows a Binomial distribution with parameters n = 10 and p = 0.10.

The probability function of a binomial distribution is:

Compute the probability that at least 1 turbine shows issues of thermal fatigue as follows:

P (X ≥ 1) = 1 - P (X < 1)

             = 1 - P (X = 0)

Thus, the probability that at least 1 turbine shows issues of thermal fatigue is 0.999.

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step-by-step explanation: