It is college football season, and your school is doing very well right now. Last season, you averaged 44.2 points per game with a standard deviation of 9.4 points when you played non-ranked teams and 36.4 points per game with a standard deviation of 6.8 points when you played ranked teams.
Non-ranked
Mean
44.20
Standard Deviation
9.40
Mean
36.40
Ranked
Standard Deviation
6.80
Required:
a. What is the probability that you score at least 30 points against a non-ranked team?
b. What is the probability that you score at least 30 points against a ranked team?
c. What is the probability that you score less than 21 points against a non-ranked team?
d. What is the probability that you score less than 21 points against a ranked team?
e. What is the probability that you score at least 54 points against a non-ranked team?
f. What is the probability that you score between 21 and 28 points against a ranked team?
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