a) A continuous random variable can be represented as X e R. (True/False).
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A: According to bartleby experts guidelines we can answer only question. Rest can be repost.
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- Suppose X and Y are independent random variables with X - B (n, p) and Y ~ B (m, p). Show that X +Y ~ B (n + m, p)..Two random variables X and Y have the joint pdf, fx y(x, y) = Ae-2x+y), x, y 2 0 elsewhereLet random variable X be the number of users communicating with a cellular base station within a given time interval. Its PMF is :
- If the discrete random variable X takes on the values 1 , 2 , 3 and if P ( X = 1 ) = P ( X = 3 ) = 0.2 then the mean of x =Let X ∼ N (0, 1) and Y ∼ Ber(p) be two independent random variables. find the law of S = X + YLet X be a random variable and c be a constant. Then Var(X+c) = Var(X), always. True False
- 16) number of medical tests that a patient will have on entering a hospital is a random variable X which can take on the values 0, 1, 2, 3, and 4. If P(X 2)=0.43, find P(X = 3).3.Suppose that X and Y are independent random variables for which Var(X)=Var(Y)=3. Find the values of (a) Var(X-Y); (b) Var(2X-3Y+1).An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of heads in each outcome. For example, if the outcome is ttt, then R(ttt) = 0. Suppose that the random variable X is defined in terms of R as follows: X= 2R- 4R-4. The values of X are given in the table below. Outcome ttt tth hht thh tht hhh htthth Value of X -4 -6 -4 -4 -6 -4 Calculate the values of the probability distribution function of X, i.e. the function py. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value x of X Px (x) olo