2. Each of the Skittles colors are expected to be equally represented in a package of the candies. If a student found the following counts in a case of Skittles, did the distribution match the expected distribution? Use a critical value of 9.488. (5.25 pts)

Purple	91
Orange	87
Red	93
Green	100
Yellow	64

a. Calculate the expected counts for this distribution. (1.25 pts) b. Perform the chi-square test for goodness of fit to answer the question above. (2 pts) c. Formulate an appropriate conclusion for this test. (2 pts)