A random variable X has expected valuepx and variance σ . what is the expected value...
Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) Forty-one darts are thrown at a dartboard. The probability of hitting a bull's-eye is .2. Let X be the number of bull's-eyes hit. expected value variance standard deviation
Let Xi, x,, ,X, be independent random variables with mean and variance σ . Let Y1-Y2, , Y, be independent random variables with mhean μ and variance a) Compute the expected value of W b) For what value of a is the variance of W a minimum? σ: Let W-aX + (1-a) Y, where 0 < a < 1.
Let Xi, x,, ,X, be independent random variables with mean and variance σ . Let Y1-Y2, , Y, be independent random...
A random variable X has an expected value of 10 with a standard deviation of 5. Let Y= 5 -2*X be another random variable. Find the expected value of Y and its standard deviation
Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density function. (Round your answers to four decimal places.) f(x) = 1 x on [1, e] E(X) = Var(X) = σ(X) =
Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for each of the density functions in f (x) = 3 4 (1 − x2) on [−1, 1]
Find the expected value, μ, and standard deviation, σ, for a binomial random variable with each of the following values of n and p. (Round all answers for σ to four decimal places.) (a) n = 50, p = 1/2. μ = σ = (b) n = 300, p = 1/4. μ = σ = (c) n = 1000, p = 1/5. μ = σ = (d) n = 1, p = 0.3. μ = σ = (e) n =...
Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X. Also, calculate the expected value of X. Round solution to three decimal places, if necessary.x46710111219P(x)0.140.080.140.080.110.320.13μ=σ2=σ=What is the expected value of X ?E(X)=
(1 point) X is a random variable having a probability distribution with a mean/expected value of E(X) = 26.8 and a variance of Var(X) = 29. Consider the following random variables. A = 5X B = 5X – 2 C = -2X +9 Answer parts (a) through (c). Part (a) Find the expected value and variance of A. E(A) = !!! (use two decimals) Var(A) = (use two decimals) blues Part (b) Find the expected value and variance of B....
Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X. X 2 3 8 10 16 18 20 P(X) 0.13 0.11 0.37 0.08 0.13 0.09 0.09 μ = σ2 = σ = What is the expected value of X? (All answers should be rounded to one more decimal place than the raw data.) (Remember to perform all calculations before rounding to avoid a rounding error.)
5. A discrete random variable, X, has three possible results with the following probabilities: Pr [X 2 /3 No other results can occur. (a) Sketch a graph of the probability function (b) What is the mean or expected value of this random variable? (c) What are the variance and standard deviation of this random variable?