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Chrome File Edit View History Bookmarks People Window Help Mon 11:20 AM Prince Rex a Chapter 2-Homework Devore, Probabilty and Statix ,Permutations & conti ation, × × New Tab Prince 18062641 Latest Hits @ StarM- Apple (United Arab E·· .d RT myCourses Apple D Prices in UAE, Specs.. adidas MORI Sho- D Baby stroller-DOL- " TI-Nspie BASC My Nobes Ask Your A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A quality control consultant is to select 3 of these workers for in-depth interviews. Suppose the selection is made in such a way that any particular group of 3 workers has the same chance of being selected as does any other group (drawing 3 slips without replacegnent from among 24) (a) How many selections result in all 3 workers coming from the day shift? 120 selections What is the probability that all 3 selected workers will be from the day shift? (Round your answer to four decimal places.) 0.0593 (b) What is the probability that all 3 selected workers will be from the same shift? (Round your answer to four decimal places.) 0.0968 among the selected workers? (Round your answer to four decimal places.) (e) what is the probability that at least two different shifts will be represented 0.9032 My Notes Ask Your t lightbulbs, of which 5 are rated 13-watt, 9 are rated 18-watt, and 4 are rated 23-watt. Suppose that three of these A box in a supply room contains 18 compact fluorescent lightbulbs, of which 5 are rated 13-watt,

Explanation / Answer

a) no of ways = 10C3 = 120

b) probability = 10C3/24C3 = 0.0593

c) probability = 10C3/24C3 + 8C3/24C3 + 6C3/24C3 = 0.0968

d) probability = (10C2 * 8C1 + 8C2 * 10C1 + 10C2 * 6C1 + 6C2 * 10C1 + 8C2 * 6C1 + 6C2 * 8C1 + 10C1 * 8C1 * 6C1 )24C3 = 1828/2024 = 0.9032

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