# Bad 2323 Ch5 Hwk Binomial Probability

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&lt,=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&lt,=2def)b. P(r &gt, 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=&gt,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 &quot,fail&quot, inspection. Poisson: 1. Given a population mean of 4. 4, determine the following: a. P(r&lt,=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=&gt,3)3. A very large population is known to be 1% defective. If a sample of 800 is taken,determine P(r=&gt, 11 def). 4. A very large population is known to be 10% defective. If a sample of 100 is taken,determine P(r&lt,= 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.