Question

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7) In 1987 the number of fatalities resulting from automobile accidents decreased substantially, with the decrease being attributed to more stringent seat belt laws and a crackdown on drivers under the influence of alcohol or drugs. The following data was collected. Seat Belt Usage Gender Male Female Total Always 37 39 76 Most of the Time Sometimes 60 54 58 49 118 103 Never 64 39 103 Total 215 185 400 Find: a) P(Female Sometimes) = b) P(Male and Never)= c) P(Female) = 2 d) P(Female or Most of the time) = _ e) P(Male Always) = f) Is seat belt use and gender independent? Why? (Explain using probabilities. Hint: Use parts (a) and (c).)

Answer 1

Cellpage Page No: Gender Always Most of the time / Sometimes Neve Never Total 60 54 64 e p (male I Always) = P Male a Always P(Always Male 37 Female 39 Total 76 I 38 39 118 I 185 103 103 37 400 76/400 37 76 a P(female / sometimes) = P(female n sometimes) P(sometimes) 49 le (male Always = 0.4868 = 0.49 400 103/400 49 x 400 - 49 408 103 - 103 0.4757 = 0.48 = b) Pemale and Never) - 64 400 - 0.16 CP (female) = 185 400 - 0.4625 -0.46 a p Female or Most of the time) = - Prfemale) + P(most of the time) - P(female & most of the time) 1185 118 58 400 T 600 118 = 0.7575 -0.4915 = 0. 266 = 0.27