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1- A study of the amount of time it takes a mechanic to rebuild the transmission for a 2010 Chevrolet Colorado shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 40 mechanics are randomly selected, find the probability that their mean rebuild time is less than 8.9 hours. Round to four decimal places.0.96052- The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The shaded area is 0.4483. Find the indicatedz-score.Round to four decimal places.0.13003- The distribution of certain test scores is a nonstandard normal distribution with a mean of 50 and a standard deviation of 6. What are the values of the mean and standard deviation after all test scores have been standardized by converting them to z-scores using z=x−μσ? The mean is 0 and the standard deviation is 1.4-If z is a standard normalvariable, find the probability that z lies between −2.41 and 0. Round to four decimal places.