Problem Set #5

Problem Set #5 - Managerial/Professional...

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Male Female Managerial/Professional 0.17243 0.171906 0.344335 Tech./Sales/Administrative 0.100128 0.174563 0.274691 Service 0.04498 0.071822 0.116803 Precision Production 0.105578 0.010285 0.115863 Operators/Fabricators/Labor 0.095582 0.031469 0.127052 Farming/Forestry/Fishing 0.016611 0.004645 0.021257 0.53531 0.46469 1. a. b. P(Managerial/Professional | Female) = 19021/51417 = 0.36993 c. P(Precision Production | Male) = 11682/59231 = 0.19723 d. P(Managerial/Professional | Female) = 0.36993 P(Managerial/Professional) = 38100/110648 = 0.34434 P(Managerial/Professional | Female) P(Managerial/Professional) Therefore, occupation is not independent of gender Yes No 23 and under 0.102577 0.099604 0.20218 24-26 0.148167 0.18781 0.335976 27-30 0.091675 0.132805 0.22448 31-35 0.032706 0.095639 0.128345 36 and over 0.025273 0.083746 0.109019 0.400396 0.599604 2. a. P(24-26 | Yes) = 299/808 = 0.37005 b. P(Yes | 36 and over) = 51/220 = 0.23182
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c. P(24-26 Yes)=P(24-26)+P(Yes)–P(24-26 Yes)=678/2018 + 808/2018 – 678/2018*299/678 = 0.29537 d. P(31 or more | No) = 362/1210 = 0.29917
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Problem Set #5 - Managerial/Professional...

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