discrete random variable has probability mass function, P(X = n) = ?1?n. ? 1, forxeven Let...
Let X be a discrete random variable with a probability mass function (pmf) of the following quadratic form: p(x) = Cx(5 – x), for x = 1,2,3,4 and C > 0. (a) Find the value of the constant C. (b) Find P(X ≤ 2).
Problem 4 Let X be a discrete random variable with probability mass function fx(x), and let t be a function. Define Y = t(X): that is, Y is the randon variable obtained by applying the function t to the value of X Transforming a random variable in this way is frequently done in statistics. In what follows, let R(X) denote the possible values of X and let R(Y) denote the possible values of To compute E[Y], we could irst find...
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).
3. Let X be a discrete random variable with the probability mass function 2 18 x=1,2,3,4, zero otherwise. , 12 a Find the probability distribution of Y-g(X- TXI b) Does Hy equal to g(Hx)? Ax=E(X), μ,-E(Y).
Consider a discrete random variable X with the probability mass function p X ( x ) = x/C , x = 3, 4, 5, 6, 7, zero elsewhere. consider Y = g( X ) = 100/(x^2+1) . b) Find the probability distribution of Y.
A discrete random variable X has the following probability mass function: p(2) DETİ, for x EA; and zero otherwise. 2 T where C is a constant and A is the support of the distribution. Find the value of C if (c) A 12,3,4,5,...) (a) A (0,2,4,6,.. A discrete random variable X has the following probability mass function: p(2) DETİ, for x EA; and zero otherwise. 2 T where C is a constant and A is the support of the distribution....
Suppose that the probability mass function for a discrete random variable X is given by p(x) = c x, x = 1, 2, ... , 6. Find the value of the cdf F(x) for 3 ≤ x < 4.
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
5. Consider the discrete random variable X with probability mass function p.) = (3/30 for r=1 6/30 for r= 2 8/30 for r=3 7/30 for r = 4 4/30 for r = 5 2/30 for r= 6 10 otherwise. You may find it helpful to use a table with columns for I, Px(), 2. Px(2), and r.Px() to keep track of your computations. Do not round off-express all values as rational fractions. a) Find the probability P(X<3. b) Find the...
8. Let X be a discrete random variable with the mass function fx (0 ) = 1-p and fx(1) = p. Let Y = 1 _ X and Z = XY. (a) Find the joint mass functions of X and Y. (b) Find the joint mass functions of X and Z