Thursday, 19 November 2015

B.Tech 2014 SPT previous year questions (Statistics and Probability Theory )

B.Tech 2014  CS (SPT) Statistics and Probability Theory previous year questions 

Q.1 In a heavy machine shop, The overhead crane is 75% utilized. Time study observation gave the average slinging time as 10.5 minutes with a standard deviation of 8.8 minutes. What is the average calling time for the service of the crane and what is the average delay in getting service ?

If the average service time is cut to 8 minutes, with standrd deviation of 6.0 minutes, how much reduction will occure on an average in the delay of getting served ?


Q.2 A Supermarket has two girls serving at the counters. The customers arrive in a Poisson fashion at the rate of 12 per hour. The service for each customer is exponential with mean 6 minutes. Find

    1. The probability that an arriving customer has to wait for service.
    2. The average number of customer in the system.
    3. The average time spent by a customer in the supermarket.
 


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