2 Q.7 The total service time of a multistep manufacturing operation has a gamma distribution with mean 18 minutes and standard deviation 6. Determine the parameters λ and r of the distribution. Q.8 The daily consumption of milk in a city in excess 20000 litres, is approximately distributed as a Gamma Variate with parameters λ=0.0001 and r=2 .The city has a daily stock of 30000 litres. What is the probability that the stock is insufficient on a particular day? Q.9 In a certain city, the daily consumption of electric power in millions of kilowatt hours can be treated as a random variable having gamma distribution with parameters r=0.5 and λ =3. If the power plant of this city has daily capacity of 12 millions kilowatt hours ,what is the probability that this power supply will be inadequate on any given day? Q.10
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