CJN 101-Consider the following discrete probability distribution.

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CJN 101-Consider the following discrete probability distribution.

9/28/20161.Assignment Print ViewAward: 12.50 pointsConsider the following discrete probability distribution.xP(X = x)?250.46?50.1425300.13a. Complete the probability distribution. (Round your answer to 2 decimal places.)P(X = 25)c. What is the probability that the random variable X is negative? (Round your answer to 2 decimalplaces.)Probabilityd. What is the probability that the random variable X is greater than ?20? (Round your answer to 2decimal places.)Probabilitye. What is the probability that the random variable X is less than 30? (Round your answer to 2 decimalplaces.)ProbabilityReferencesWorksheetLearning Objective:05­01 Distinguishbetween discreteand continuousrandom variables.Difficulty: 3HardLearning Objective:05­02 Describe theprobabilitydistribution for adiscrete randomvariable.http://ezto.mheducation.com/hm.tpx1/59/28/20162.Assignment Print ViewAward: 12.50 pointsConsider the following cumulative probability distribution.xP(X ? x)00.1510.3320.5630.6540.8751a. Calculate P(X ? 2). (Round your answer to 2 decimal places.)P(X ? 2)b. Calculate P(X = 3). (Round your answer to 2 decimal places.)P(X = 3)c. Calculate P(2 ? X ? 4). (Round your answer to 2 decimal places.)P(2 ? X ? 4)ReferencesWorksheetDifficulty: 3 HardLearning Objective: 05­02 Describe theprobability distribution for a discreterandom variable.3.Award: 12.50 pointsCalculate the mean, the variance, and the standard deviation of the following discrete probability distribution.(Negative values should be indicated by a minus sign. Round your final answers to 2 decimal places.)xP(X = x)?360.33?220.33?100.24?70.10MeanVarianceStandard deviationReferenceshttp://ezto.mheducation.com/hm.tpx2/59/28/2016Assignment Print ViewWorksheetDifficulty: 2 MediumLearning Objective: 05­03 Calculate andinterpret summary measures for adiscrete random variable.4.Award: 12.50 pointsFour years ago, Victor purchased a very reliable automobile (as rated by a reputable consumer advocacypublication). His warranty has just expired, but the manufacturer has just offered him a 5­year, bumper­to­bumper warranty extension. The warranty costs $3,300. Victor constructs the following probabilitydistribution with respect to anticipated costs if he chooses not to purchase the extended warranty.Cost (in $)9002,2004,90011,700Probability0.210.410.230.15a. Calculate Victor’s expected cost.Expected cost$b. Given your answer in part (a), should Victor purchase the extended warranty? (Assume risk neutrality.)NoYesrev: 11_02_2015_QC_CS­31836ReferencesWorksheetLearning Objective:05­03 Calculate andinterpret summarymeasures for adiscrete randomvariable.Difficulty: 3HardLearning Objective:05­04 Distinguishbetween risk­neutral, risk­averse,and risk­lovingconsumers.http://ezto.mheducation.com/hm.tpx3/59/28/20165.Assignment Print ViewAward: 12.50 pointsAssume that X is a binomial random variable with n = 13 and p = 0.65. Calculate the following probabilities.(Round your final answers to 4 decimal places.)a. P(X = 12)b. P(X = 11)c. P(X ? 11)ReferencesWorksheetDifficulty: 2 MediumLearning Objective: 05­06 Describe thebinomial distribution and computerelevant probabilities.6.Award: 12.50 pointsAt a local community college, 57% of students who enter the college as freshmen go on to graduate. Eightfreshmen are randomly selected.a. What is the probability that none of them graduates from the local community college? (Round yourfinal answer to 4 decimal places.)Probabilityb. What is the probability that at most seven will graduate from the local community college? (Roundyour final answer to 4 decimal places.)Probabilityc. What is the expected number that will graduate? (Round your final answer to the nearest wholenumber.)Expected numberrev: 11_02_2015_QC_CS­31836HintsHint #1http://ezto.mheducation.com/hm.tpx4/59/28/2016Assignment Print View7.Award: 12.50 pointsAssume that X is a Poisson random variable with ? = 4. Calculate the following probabilities. (Round yourfinal answers to 4 decimal places.)a. P(X = 7)b. P(X = 4)c. P(X ? 1)ReferencesWorksheetDifficulty: 2 MediumLearning Objective: 05­07 Describe thePoisson distribution and compute relevantprobabilities.8.Award: 12.50 pointsA textile manufacturing process finds that on average, five flaws occur per every 100 yards of materialproduced.a. What is the probability of exactly two flaws in a 100­yard piece of material? (Round your final answerto 4 decimal places.)Probabilityb. What is the probability of no more than two flaws in a 100­yard piece of material? (Round your finalanswer to 4 decimal places.)Probabilityc. What is the probability of no flaws in a 25­yard piece of material? (Round your final answer to 4decimal places.)Probabilityhttp://ezto.mheducation.com/hm.tpx5/5