Showing posts with label Statistics and Probability Theory. Show all posts
Showing posts with label Statistics and Probability Theory. Show all posts

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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