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At William Tysdall University all new freshmen are given an English placement exam. The top score on

Question: At William Tysdall University all new freshmen are given an English placement exam. The top score on the exam is 40 points. The following table shows the range of scores on the placement exam and the final grade students got in their freshman composition course.

Score A B C D F Row Total
0-10 5 7 12 19 31 74
11-20 28 55 76 24 11 194
21-30 40 72 51 12 4 179
31-40 57 43 19 15 10 144
Column Totals 130 177 158 70 56 591

a. What is the probability that a student will bet an “A”?

b. What is the probability that a student will get an “A” given that a score of 31-40 was achieved on the placement test?

c. What is the probability that a student scored between 21-30 and got a D in the course?

d. What is the probability that a student scored between an 11-20 knowing they received a “C” in the course?

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