IDNLearn.com connects you with a community of experts ready to answer your questions. Ask your questions and receive detailed and reliable answers from our experienced and knowledgeable community members.

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