BAD 2323 Ch5 HwkBinomial Probability:1. If a certain population is known to be 4% defective, determine the P(r=0def)from a sample of n=10 :2. If a certain population is known to be 10% defective, determine the P(r<=1def)from a sample of n=15 :3. If a certain population is known to be 8% defective, determine from a sample ofn=10 :a. P(r<=2def)b. P(r > 2def)4. If a certain population 40% will pass a certain test. From a sample of n=5determine:a. P(r=4 pass)b. P(r=>4 pass)c. P(r=5 pass)5. If a certain population, 95% of the items will pass inspection. If n=8, find theprobability that 1 or fewer items will "fail" inspection.Poisson:1. Given a population mean of 4.4, determine the following:a. P(r<=3)b. P(r=6)c. P(r=5)2. Given a mean of 1.2, determine the following:a. P(r=0)b. P(r=1)c. P(r=2)d. P(r=>3)3. A very large population is known to be 1% defective. If a sample of 800 is taken,determine P(r=> 11 def).4. A very large population is known to be 10% defective. If a sample of 100 is taken,determine P(r<= 5 def).5. The average number of announcements per hour is 6.During a 15 minute interval, what is the probability that3 announcements will be made?6. If the average is 4 customers arriving every30 minutes, then what is the probability thatduring a 15 minute interval, only 1 customerwill arrive?Mean and Variance of the Binomial1X012345P(X)= probability of a defective unitP(X)0.16810.36020.30870.13230.02840.00241.000Calculate the MeanCalculate the VarianceCalculate the Standard DeviationCalculate the overall % defective.2X012345P(X)0.07780.25920.34560.23040.07680.01021.000Calculate the MeanCalculate the VarianceCalculate the Standard DeviationCalculate the overall % defective.3X0P(X)0.656112340.29160.04860.00360.00011.000Calculate the MeanCalculate the VarianceCalculate the Standard DeviationCalculate the overall % defective.4X012P(X)0.810.180.011.000Calculate the MeanCalculate the VarianceCalculate the Standard DeviationCalculate the overall % defective.Hypergeometric:1. Three boxes contain the following red and green marbles:#1#2#3TotalRed431017Green612220Total10151237Assume that 3 marbles are chosenwithout replacement from the same box,using hypergeometric, calculate:a. Probability of selecting 2 red marbles without replacementfrom box #1:b. Probability of selecting 2 red marbles without replacementfrom box #2:c. Probability of selecting 2 red marbles without replacementfrom box #3:2. A board of directors contains 10 members,6 of whom favor the president. The other 4 want to firethe president. A subcommittee of 5 board membersis chosen to vote whether to retain or fire the president.Using hypergeometric, calculate:Probability that the majority of the 5 members will vote to keep thepresident.
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