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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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.
View More
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