For a discrete random variables X, the probability distribution is given by Find the mean a....
The probability distribution of a random variable X is given below. 35 Given the mean -4.97 Find the variance (Var(X) and the standard deviation, respectively. a) [1738.95, 41.70] b) (65.33, 8.08 c) [1180.00, 34.35 d) 19.00, 3.00] e) 150.00, 7.07 f None of the above. The probability distribution of a random variable X is given below. 35 Given the mean -4.97 Find the variance (Var(X) and the standard deviation, respectively. a) [1738.95, 41.70] b) (65.33, 8.08 c) [1180.00, 34.35 d)...
If the joint probability distribution of three discrete random variables X, Y , and Z is given by: f(x, y, z) = (x + y)z / 63 , for x = 1, 2; y = 1, 2, 3; z = 1, 2. Find the probability P(X = 2, Y + Z ≤ 3)
A discrete random variable X has the following probability distribution: x7778798081 P(x) 0.150.150.200.400.10Compute each of the following quantities. i. P(X = 80) ii. P(x > 80) iii. P(X ≤ 80) iv. The mean, μ of x. v. The variance, σ2 of X. vi. The standard deviation, σ of X.
The discrete random variables X and Y take integer values with joint probability distribution given by f (x,y) = a(y−x+1) 0 ≤ x ≤ y ≤ 2 or =0 otherwise, where a is a constant. 1 Tabulate the distribution and show that a = 0.1. 2 Find the marginal distributions of X and Y. 3 Calculate Cov(X,Y). 4 State, giving a reason, whether X and Y are independent. 5 Calculate E(Y|X = 1).
A discrete random variable, X, has the following probability distribution: P(X) lorem What is the probability that X is not more than 1? (b) What is the probability that X is at least 22|| What is the mean of X? (d) What is the standard deviation of X?
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)...
scom - Google Search We Work : STA2023_Canvas Integration : Discrete Random Discrete random variables: Problem o Previous Problem Problem List Next Problem Results for this submission Result Answer Preview Entered correct 3.051 3.051 5.6277 Incorrect 5.6277 incorrect 28.62 28.62 At least one of the answers above is NOT correct. (1 point) Find the mean, variance and standard deviation for the probability distribution given below: X -1 4 9 11 PP00.552 0.1290.2110.108 Round to three decimal places A. Mean =...
Find the indicated probability assuming that x is a random variable with a normal distribution with the given mean and standard deviation. (Round your answer to four decimal places.) P(68 ≤ x ≤ 204), μ = 16, σ = 80
Compute the mean of the random variable with the given discrete probability distribution.
1. X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 41, σ = 20, find P(35 ≤ X ≤ 42) 2. Find the probability that a normal variable takes on values within 0.9 standard deviations of its mean. (Round your decimal to four decimal places.) 3. Suppose X is a normal random variable with mean μ = 100 and standard deviation σ = 10....