At Tampa Bay Shopping Mall 100 shoppers were interviewed.  55 had Master Card, 40 had Discover Card and 15 had both cards.  An individual from this group is selected at random.  Let M be the event the person has a Master Card and let D be the event the person has a Discover Card.   Find the probability of getting a person having a Master Card and a Discover Card. ________________   Are M and D mutually exclusive?______Justify.__________________   Compute P(D | M).______________________________________     Compute P(D). ______________________ Using the results of parts 3 & 4 of this problem, state whether M and D are independent events. _______ Justify ____________________________ Compute P(D or M). ________________________________________   Answer only 4-6

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.6: Permutations
Problem 31E
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At Tampa Bay Shopping Mall 100 shoppers were interviewed.  55 had Master Card, 40 had Discover Card and 15 had both cards.  An individual from this group is selected at random.  Let M be the event the person has a Master Card and let D be the event the person has a Discover Card.

 

  1. Find the probability of getting a person having a Master Card and a Discover Card. ________________

 

  1. Are M and D mutually exclusive?______Justify.__________________

 

  1. Compute P(D | M).______________________________________
  2.  
  3.  
  4. Compute P(D). ______________________
  5. Using the results of parts 3 & 4 of this problem, state whether M and D are independent events. _______ Justify ____________________________
  6. Compute P(D or M). ________________________________________

 

Answer only 4-6

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