The daily consumption of milk in excess of 20000 gallons is approximately distributed as a gamma variable with parameter alpha=2 and Lambda=1/3000.The city as daily stock of 30000 gallons.what is the probability that out of two days random selected the stock is sufficient on particular day.
Answers
Answer:
14
Step-by-step explanation:
Answer:
Therefore, the probability that the milk is sufficient for both the days if two days are selected at a random = ( e 10)2 = e -10 or 14
Step-by-step explanation:
If the random variable x denotes the daily consumption of milk in a city , then y=x- 10000 has exponential distribution with mean Ф = 1000
mean = 1/x = 1000= x 1/1000
g(y)=1/1000 - e -y/1000 , 0<y<∝
since the daily stock of the city is 20000 gallons , the probability that the stock is insufficient on a particular day,
= p(x>20000)
= p(y > 10000) = { 1/3000 e dy}
[-e -y/3000]
= -(0-e -10)= e -10
therefore, the probability that the milk is sufficient for both the days if two days are selected at a random = ( e 10)2 = e -10 or 14
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