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Calculating and explaining the probabilities of smoking by race

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5.74 Refer to the contingency table shown below.

(a) Calculate each probability (i-vi) and explain in words what it means.

i. P(S) ii. P(W) iii. P(S | W)
iv. P(S | B) v. P(S and W) vi. P(N and B)

Smoking by Race for Males Aged 18-24
Smoker non smoker
(S) (N) Row Total
White (W) 290 560 850
Black (B) 30 120 150
Column Total 320 680 1000

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Solution Summary

This solution calculates and explains the probabilities of smoking by race.

Solution provided by:
Sandhya Sharma, MSc
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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