ISMT111 Problem Set #5(1)It is known that the service life of a particular automotive part is normally distributed.If92.51% of the parts have service lives greater than 2160 hours and 3.92% have service livesgreater than 17040 hours, what are the meanμand standard deviationσof the distributionof service life of this particular part?(2)Suppose GMAT (Graduate Management Admissions Test) scores are normally distributedwith a meanμ= 500 and a standard deviationσ= 100 . Compute the interquartile rangefor this distribution, i.e., the distance between the 75th and 25th percentile of the distributionof GMAT scores.(3)A customer service desk receives an average of five customers per hour.Assume that thenumber of customers arriving per hour is Poisson distributed. What is the probability that atleast 10 people will request service in a particular two-hour period?(4)A machine is used to regulate the amount of additive QQX in gasoline.It can be set todischarge, on the average,μmilliliters of additive QQX per liter of gasoline. It is also known
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