Question: Use the contingency table below to answer the following questions. Answer using decimals (not percentages or fractions) rounded to 4 decimal places. The table represents

Use the contingency table below to answer the following questions. Answer using decimals (not percentages or fractions) rounded to 4 decimal places.

The table represents the grade level for a group of high school athletes and the sports that they participate in. At this school, students are only allowed to participate in one sport.

Football Basketball Track & Field Tennis Total

Freshman 8 4 13 4 29

Sophomore 16 3 6 2 27

Junior 21 12 19 3 55

Senior 44 19 20 6 89

Total 89 38 58 15 200

(a) What is the probability that a student athlete selected at random plays basketball?

(b) What is the probability that a student athlete selected at random is not a junior?

(d) What is the probability that a student athlete selected at random plays basketball or tennis?

(e) What is the probability that a student athlete selected at random is a freshman, given that the student plays tennis?

(f) What is the probability that a student athlete selected at random plays basketball or is a senior?

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