A discrete random variable X can have the following values: 1, 7, 5, 7, 0, 9, 6. Find the variance of X knowing X > 3. (Find V(X|X>3) )
A discrete random variable X can have the following values: 1, 7, 5, 7, 0, 9,...
A discrete random variable X can take values from 1 to 10. Find the variance of X knowing X > 3. (Find V(X|X>3) )
X is a Discrete Random Variable that can take five values Given The five possible values are: x1 = 4 (Units not given) X2 = 6 (Units not given) X3 = 9 (Units not given) X4 = 12 (Units not given) X5 = 15 (Units not given) The associated probabilities are: p(x1) = 0.14 (Unitless) p(x2) = 0.11 (Unitless) p(x3) = 0.10 (Unitless) p(xx) = 0.25 (Unitless) Question(s) 1. If the five values are collectively exhaustive, what is p(x5)? (Unitless)...
3. The probability distribution of the discrete random variable X is f(x) = 2 x 1 8 x 7 8 2−x , x = 0, 1, 2. Find the mean of X. 4. The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: x 1 2 3 5 6 f(x) 0.03 0.37 0.2 0.25 0.15 (a) Find E(X). (b) Find E(X2 ). 5. Use the distribution from Problem 4. (a)...
5. Let X be a discrete random variable with the following PMF: for x = 0 Px(x)- for 1 for x = 2 0 otherwise a) Find Rx, the range of the random variable X. b) Find P(X21.5). c) Find P(0<X<2). d) Find P(X-0IX<2)
Suppose we have a discrete random variable X with distribution x p(x) 0 0.2 1 a 3 0.1 5 0.2 6 b (a) If mean = 4.5, find a and b.
5. Let X be a discrete random variable. The following table shows its possible values r and the associated probabilities P(X -f(x) 013 (a) Verify that f(x) is a probability mass function (b) Calculate P(X < 1), P(X < 1), and P(X < 0.5 or X > 2). (c) Find the cumulative distribution function of X ompute the mean and the variance of
5. Let X be a discrete random variable. The following table shows its possible values associated probabilities P(X)( and the f(x) 2/8 3/8 2/8 1/8 (a) Verify that f(x) is a probability mass function. (b) Calculate P(X < 1), P(X 1), and P(X < 0.5 or X >2) (c) Find the cumulative distribution function of X. (d) Compute the mean and the variance of X.
Discrete random variable X has possible values 2, 6, 10, 14, 18, and 22. Continuous random variable Y has density function f(y) = y/288, if 0 < y < 24 and f(y) = 0 otherwise. If Y is a good approximation for X, find Pr[6 ≤ X ≤ 18].1/41/35/72/31
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 Find P(-1<=x<=1) Find P(x<2) Find the expected value (mean) of this discrete random variable. Find the variance of this discrete random variable
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X = xi) 0.15 0.2 0.1 0.25 0.3 a) find P(X = 2 given that X < 5) b) if Y = (2 - X)2 , i. Construct the probability distribution of Y. ii. Find the expected value of Y iii. Find the variance of Y