A random variable X has the following probability functions: x: 0 1 2 3 4 5 6 7 8 p(x): lambda 3 lambda 5 lambda 7 lambda 9 lambda 11 lambda 13 lambda 15 lambda 17 lambda (i) Calculate the minimum value of lambda such that P(X<=3)>0*5.
"=16\\lambda>0.5"
"\\lambda>1\/8"
There is no the exact minimum value of lambda such that "P(X\\leq3)>0.5"
Check
"+15\\lambda+17\\lambda=1"
"\\lambda=1\/81<1\/8"
Therefore the given problem has no solution.
The value of "\\lambda" must be "1\/81" to satisfy the probability function.
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