4) By definition of distribution function we have
5) a) Total probability is 1 so
b)
c)
4. Suppose X has a discrete uniform distribution: the distribution function of X 5. A random...
can someone explain this? thanks! 4. (Discrete Uniform Distribution, 10 points) Suppose that X has a discrete uniform distri bution on the integers 0 through 9, i.e., PCX = x) = 1/10, VI = 0,1,...,9. Determine the PMF of the random variable Y = 2X +3. 5. (Function of Random Variable, 20 points) Assume X is a random variable with the fol- lowing PMF, PCX = k) = k = 0.1.2.... (which is also known as the Poisson distribution). a....
Suppose that the random variable X has the discrete uniform distribution f(x) = { 1/4, r= 5, 6, 7, 8. 0, otherwise. A random sample of n = 45 is selected from this distribution. Find the probability that the sample mean is greater than 6.7. Round your answer to two decimal places (e.g. 98.76). P= the absolute tolerance is +/-0.01
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
Suppose that X follows a discrete random variable with the following pmf table. x 3 4 5 p(x) 0.3 0.4 0.3 Find the standard deviation of X. Use two decimal points.
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
The discrete random variable has a uniform distribution. There are 12 possible values for the random variable. One of the possible values is X = 5. P(X = 5) = _________________
The discrete random variable has a uniform distribution. There are 12 possible values for the random variable. One of the possible values is X = 5. P(X = 5) =
Let X and Y be independent random variables. Random variable X has a discrete uniform distribution over the set {1, 3} and Y has a discrete uniform distribution over the set {1, 2, 3}. Let V = X + Y and W = X − Y . (a) Find the PMFs for V and W. (b) Find mV and (c) Find E[V |W >0].
The probability density function for a random variable X with a discrete uniform distribution over the integers 1, 2, 3, 4, 5, and 6 is f(x) = 1/6 for x = 1, 2, 3, 4, 5, 6. What is the mean of the distribution of X? The probability density function for a random variable X with a discrete uniform distribution over the integers 1, 2, 3, 4, 5, and 6 is f(x) = 1/6 for x = 1, 2, 3, 4, 5,...
3. The discrete random variable X has the following probability distribution: IX 13 18 20 24 27 P(x) 0.22 0.25 0.20 0.17 0.16 a. P(18) b. P(X > 18). C. P(X s 18). d. The mean u of X. e. The standard deviation o of X.