Computer software generated 300 random numbers that should look as if they are from the standard Normal distribution. They are categorized into five groups: (1) less than or equal to 0.7, (2) greater than 0.7 and less than or equal to 0.3, (3) greater than 0.3 and less than or equal to 0.3, (4) greater than 0.3 and less than or equal to 0.7and (5) greater than 0.7. The counts in the five groups are 73, 39, 82, 49, and 57, respectively.

A. Find the probabilities for these five intervals. Give your answers to four decimalplaces.

B.Compute the expected number for each interval for a sample of 300. Give your answers to two decimalplaces.

C. Perform the goodnessoffit test. Give your answer for the chisquare statistic X2 to two decimal places and for the degrees of freedom df as a wholenumber.