Probability and statistics
posted by Arun on .
The probability that the life time of randomly chosen device is below average, average,above average are respectively 0.2,0.5,0.3. The probability that of the 3 randomly chosen devices lifetimes of 2 are above average and 1 below average equals
Think of the expansion of the polynomial
(A+B+C)^3 where A=below, B=averave, C=above, and A+B+C=1.
1 is below average = A (0.2)
2 are above average = C (0.3)
The coefficient of AC^2 is 3, i.e. 3AC^2.
The probability is therefore