In a large IT company, 70% of programmers are male while 25% know Python. Eighteen percent of the programmers are male and know Python. If a randomly selected programmer turns out to be male, what is the probability that he knows Python? Round your answer to four decimal places. Are "being male" and "knowing Python" independent? Justify your answer using relevant probabilities

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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In a large IT company, 70% of programmers are male while 25% know Python. Eighteen percent of the programmers are male and know Python.

  1. If a randomly selected programmer turns out to be male, what is the probability that he knows Python? Round your answer to four decimal places.
  2. Are "being male" and "knowing Python" independent? Justify your answer using relevant probabilities.
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