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1) The mean and variance of the binomial variate X are 8 and 4
respectively. Find
P(X < 3)


2) Let X a continuous random variable define: f(x)= {ax 0≤ X ≤3
{ 0 otherwise

Find the value of the constant (a),
p (X≥1), p (2≤ X ≤4), E(X), standard déviation


3) Let X a continuous random variable define: f(x) =
{1/6 0≤ X ≤ k
{0 otherwise


1- draw the probability function
2- Find the value of the constant (k), p (X≥2), p ( 0.5 ≤ X ≤5), μ, standard déviation
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