For P(X =x ) to be valid
1. P(X=x ) is between 0 and 1 for all values of x
2.
Both are valid
answer is
I and II only
Which of the following is/are required for the probability distribution of a discrete random variable X...
Which of the following is/are required for the probability distribution of a discrete random variable X, with probabilities PlX = x) to be valid? 1. Os PCX=x)s 1 for all x 1. P(X=x) - 1 all ill. all x 20 I only Il only I and Il only ll, and I Il and ill only.
** Question 1: Consider the following discrete probability distribution. The mean of this random variable is 3.75. x 0 1 2 5 P(X=x) 0.10 0.70 a) Find the missing values for P(X=1) and P(X=2) Hint: you will need to use two equations here, and substitution. This should be familiar from high school mathematics. The two equations you will need are for the mean of a discrete random variable and that the sum of all the probabilities equals 1. - please...
The discrete random variable X has the following probability mass function: f(x) = kx, for the values of x = 2,4,5 and 6 only. Find the i. value of k. ii. construct the probability distribution of X iii. expected value and standard deviation X
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.
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
Cumulative distribution function The probability distribution of a discrete random variable X is given below: Value x of X P(x-x) 0.24 0.11 -2 0.26 0.11 Let Fx be the cumulative distribution function of X. Compute the following: X 5 ? 18+ (-2) - Px (-4) = 0
sc I The discrete random variable X has the following probability mass function: P(X = x) = kx for the values of x = 2,4 and 5 only. Find the i. value of k. expected value and the variance of X. iii. cumulative distribution function of X, F(x).
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
1. The probability distribution of a discrete random variable X is given by: P(X =-1) = 5, P(X = 0) = and P(X = 1) = ? (a) Compute E[X]. (b) Determine the probability distribution Y = X2 and use it to compute E[Y]. (c) Determine E[x2] using the change-of-variable formula. (You should match your an- swer in part (b). (d) Determine Var(X).
Consider the following discrete probability distribution. x 15 22 34 40 P(X = x) 0.13 0.49 0.24 0.14 a. Is this a valid probability distribution? Yes, because the probabilities add up to 1. No, because the gaps between x values vary. b. What is the probability that the random variable X is less than 38? (Round your answer to 2 decimal places.) c. What is the probability that the random variable X is between 10 and 28? (Round your answer...