The cumulative distribution function of X is
As a piece wise function, it can be written as
F(x) = 0, x < 0
Suppose a discrete random variable X has the following probability distribution () 0.1 0.1 0.2 0.6...
A discrete random variable X has probability mass function P() 0.1 0.2 0.2 0.2 0.3 Use the inverse transform method to generate a random sample of size from the distribution of X. Construct a relative frequency table and compare the empirical with the theoretical probabilities. Repeat using the R sample function. 1000
Suppose that a random variable X has a discrete distribution with the following probability mass function: Find the value of the constant C.
Let X be a discrete random variable with the following pmf 0.1 for I = 0.2 0.2 for x = 0.4 0.2 for x = 0.5 P(X = x) = 0.3 for x = 0.8 0.2 for x = 1 0 otherwise Note: Write your final answers as decimals Find the following a) P(0.25 < X < 0.75) = b) P(X = 0.2|X<0.6) c) E(2X+1) =
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
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.
he cumulative distribution function (cdf), F(z), of a discrete ran- om variable X with pmf f(x) is defined by F(x) P(X < x). Example: Suppose the random variable X has the following probability distribution: 123 45 fx 0.3 0.15 0.05 0.2 0.3 Find the cdf for this random variable
The random variable x has the following discrete probability distribution. Complete parts a through f Question Help O The random variable x has the following discrete probability distribution. Complete parts a through f. P(x) 622 8 0.4 0.2 9 0.2 0.1 a. List the values x may assume. DODO. (Use ascending order.) b. What value of x is most probable? c. Display the probability distribution as a graph. Choose the correct graph below. OA. OB Oc. OD 071 LUH >...
Complete the following probability distribution table for the discrete random variable X: X P(X) 2 ? 37 0.1 65 0.2 66 0.2
Question 11 1 pts The following is the Probability Distribution Function for a discrete Random Variable. What is the expected value of x? X P(x) 10 11 12 13 0.1 0.3 0.4 0.2
6. The distribution law of random variable X is given -0.4 |-0.2 |0 0.1 0.4 0.3 0 0.6 0.2 Pi Find the variance of random variable X. nrohahility density function is: