G) For two random variables 𝑋 and 𝑌, 𝐸(𝑋𝑌) = 𝐸(𝑋)𝐸(𝑌) hold if 𝑋 and 𝑌 are _______

If 𝑋X and 𝑌Y are independent random variables with 𝐸[𝑋]=1E[X]=1, Var(𝑋)=2Var(X)=2, 𝐸[𝑌]=3E[Y]=3, and Var(𝑌)Var(Y) = 4, then find 𝐸[(2𝑋+3𝑌)2]E[(2X+3Y) 2 ].

A discrete random variable X can only assume the values of 0, 1, 2 and 3.Given that 𝑃(𝑋 ≥ 2) = 0.6 , 𝑃(𝑋 ≤ 2) = 0.85Determine 𝑃(𝑋 = 2)

A normal random variable X has mean 5.6 and standard deviation 1.2. For which c> 0 does the equality P(-c≤x≤c) 0.9 hold? Round to two decimal places if needed.

In ∆ 𝐴𝐵𝐶 , if X and Y are the points on AB and AC respectively such that 𝐴𝑋𝑋𝐵 = 34 ,𝐴𝑌 = 5 and 𝑌𝐶 = 9. State whether 𝑋𝑌 || 𝐵𝐶 or not

In general, Random Variables are represented by capital letters.Review LaterTrueFalse