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Name: ____________________________Optional Extra Credit Assignment – Section 5.4 Other Types of Distributions Read Section 5-4 Other Types of DistributionsAs you read, make sure to highlight any important pointsMake notes about the examplesWrite down any questions or concerns you may have.After you have an understanding of the three types of distributions, complete the following assignment: p. 240 – 291 #2-20 evens Then complete the worksheet below. Extra credit will be given per correctly answered question, with work shown.5.4 Extra Credit Assignment1. After a recent national election, voters were asked how confident they were that votes in their state would be counted accurately. The results are shown below.46% Very confident41% Somewhat confident9% Not very confident3% Not at all confidentIf 10 voters are selected at random, find the probability that 5 would be very confident, 3 somewhat confident, 1 not very confident, and 1 not at all confident.2. Before a DVD leaves the factory, it is given a quality control check. The probabiltiies that a DVD contains 0, 1, or 2 defects are 0.90, 0.06, and 0.04, respectively. In a sample of 12 recorders, find the probability that 8 have 0 defects, 3 have 1 defect, and 1 has 2 defects. 3. In a Christmas display, the probability that all lights are the same color is 0.50; that 2 colors are used is 0.40; and that 3 or more colors are used is 0.10. If a sample of 10 displays is selected, find the probability that 5 have only 1 color of light, 3 have 2 colors, and 2 have 3 or more colors.4. Transportation officials reported that 8.25 out of every 1000 airline passengers lost luggage during their travels last year. If we randomly select 400 airline passengers, what is the probability that 5 lost some luggage?5. Computer Help Hot Line receives, on average, 6 calls per hour asking for assistance. The distribution is Poisson. For any randomly selected hour, find the probability that the company will receiver At least 6 calls4 or more callsAt most 5 calls6. The number of boating accidents on Lake Emilie follows a Poisson distribution. The probability of an accident is 0.003. If there are 1000 boats on the lake during a summer month, find the probability that there will be 6 accidents.7. If 5 cards are drawn from a deck, find the probability that 2 will be hearts.8. Of the 50 automobiles in a used-car lots, 10 are white. If 5 automobiles are selected to be sold at an auction, find the probability that exactly 2 will be white.9. At a food bank a case of donated items contains 10 cans of soup, 8 cans of vegetables, and 8 cans of fruit. If 3 cans are selected at random to distribute, find the probability of getting 1 vegetable and 2 cans of fruit. ................
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