Out of the 30 college students who visited campus health center yesterday, 9 receieved prescriptions while the remaining 21 did not. The following table further categorizes these 30 students by gender:   Male (M) Female (F) Total Prescription (P) 6 3 9 No prescription (N) 9 12 21 Total 15 15 30 a) using the data from the table, estimate P (N) (probability of "no prescription" out of all sampled students) and P (M) (probability of "male" out of all sampled. b) using the data from the table, find P (N and M) (probability of no prescription and male) c) based on (a), what would P (N and M) be if the events N and M were independent? Compared to the answers you got in (b), do you think N and M are independent?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Out of the 30 college students who visited campus health center yesterday, 9 receieved prescriptions while the remaining 21 did not. The following table further categorizes these 30 students by gender:

  Male (M) Female (F) Total
Prescription (P) 6 3 9
No prescription (N) 9 12 21
Total 15 15 30

a) using the data from the table, estimate P (N) (probability of "no prescription" out of all sampled students) and P (M) (probability of "male" out of all sampled.

b) using the data from the table, find P (N and M) (probability of no prescription and male)

c) based on (a), what would P (N and M) be if the events N and M were independent? Compared to the answers you got in (b), do you think N and M are independent?

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