(Q.1-Q.2) The number of cars arriving at ICICI bank drive-in window during 10-min period is Poisson random variable X with b=2.1.
Q. The probability that more than 3 cars will arrive during any 10 min period is
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(Q.3-Q.5) Delhi averages three murder per week and their occurrences follow a Poisson distribution.3.
Q. The probability that there will be five or more murder in a given week is
On the average, how many weeks a year can Delhi expect to have no murders ?
How many weeds per year (average) can the Delhi expect the number of murders per week to equal or exceed the average number per week?
(Q.6-Q.8) The random variable X is defined by the density f(x) = 0.5u(x) e(0.5x)6.
Q. The expect value of g(x) = X3 is
(Q.9-Q.10) A joint sample space for two random variable X and Y has four elements (1,1), (2,2), (3,3) and (4,4). Probabilities of these elements are 0.1, 0.35, 0.05 and 0.5 respectively.
Q. The probability of the event{X 2.5, Y 6} is
The probability of the event that X is less than three is