In: Statistics and Probability
1.
Suppose you perform an experiment that consists of rolling two dice and
recording their sum.
a. What is the sample space of this experiment?
b. Find the probability that the sum is either even or more than 9.
c. Find the probability that the sum is odd and a multiple of 3.
d. Find the expected sum.
2.
When Fernando took MAT 257 last semester, he got the same exact score, 85%, in both Test 1 and Test 2. If the class mean and standard deviation for Test 1 were 86% and 4%, respectively, while the class means to score and standard deviation for Test 2 were 86% and 5%, respectively, in which test did Fernando perform relatively better? Explain.