Are the events "the master's degree holder is a woman" and "the master's degree is in statistics" statistically independent? What is the probability that the master's degree holder is woman, given that the master's degree is in statistics?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Problem 2
Suppose that women obtain 40% of all master's degrees and that 10% of all master's degrees
are in statistics. Also, 5% of all master's degrees are in statistics and go to women.
a) Are the events "the master's degree holder is a woman" and “the master's degree is in
statistics" statistically independent?
b) What is the probability that the master's degree holder is woman, given that the master's
degree is in statistics?
Transcribed Image Text:Problem 2 Suppose that women obtain 40% of all master's degrees and that 10% of all master's degrees are in statistics. Also, 5% of all master's degrees are in statistics and go to women. a) Are the events "the master's degree holder is a woman" and “the master's degree is in statistics" statistically independent? b) What is the probability that the master's degree holder is woman, given that the master's degree is in statistics?
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