The length of time needed to complete a certain test is normally distributed with mean 92 minutes and standard deviation 8 minutes. Find the probability that it will take less than 80 minutes to complete the test.

The probability that it will take less than 80 minutes

  P(X≤80) = 0.0768        

Step-by-step explanation:

Step(i):-

Given mean of the Population = 92 minutes

Given standard deviation of the Population = 8 minutes

Let 'X' be the random variable in normal distribution

Let 'X' = 80 minutes

Step(ii):-

The probability that it will take less than 80 minutes

P(X≤80) = P(Z≤-1.5)

            =  0.5 - A(1.5)

            = 0.5 - 0.4232

           =0.0768

Final -

The probability that it will take less than 80 minutes

  P(X≤80) = 0.0768        

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step-by-step explanation: