Let X be a random variable with probability distribution as shown below: 25 2

Q: if X follows the Poisson probability law such that P (xr = 1) = P (x = 2). then ind the probability…

A:

Q: Let X be a random variable with probability distribution as shown below: -1<x<2 f (x)={3 and…

A:

Q: Select one: а. О b. 2 C. var(x) d. - 2 e. 1

A: To find the value E[X(1-X)].

Q: Determine the value c so that each of the following functions can serve as a probability…

A: a) It is needed to find the value of c.

Q: if X follows the Poisson probability law such that P (x 1) = P (x = 2). then ind the probability of…

A:

Q: Determine f(2)  using the indicated probability distribution of the discrete random variable X…

A:

Q: Let the joint probability distribution function of two random variables X and Y be given by S…

A: Given the joint probability distribution function of two random variables X and Y as…

Q: Let X be a Geometric random variable with parameter p = 1/4. Find E(4X + 1)² and V(3 + 2X). Two fair…

A:

Q: If X follows the Poisson probability law such that P (x = 1) = P' (x = 2), then ind the probability…

A:

Q: The values of x and their probabilities are listed below.  Calculate the intermediate products to…

A: x P(x) xP(x) 32 0.07 2.24 34 0.12 4.08 36 0.24 8.64 38 0.25 9.5 40 0.32 12.8 Total…

Q: Let X be a random variable. Which of the following statement is INCORRECT? If V (X) > 0, then for…

A: we know that variance is always positive that is V(X)&gt;0 and also probability is in range [0,1],…

Q: For a random variable X, suppose that E[X] = 2 and Var(X) = 4. Then (a) E[(4 + x)²] = (b) Var (5+5X)…

A: Given,E(X)=2Var(X)=4we know that…

Q: Let X be a random variable with p.d.f f(x) = c+ 1.2x2,0<x< 1. Find a constant c if E(X) = ! 0.6 0.4…

A:

Q: A random variable X has pdf fx (x) = e¬* for x 20. Use Chebyshev's inequality to show that P 1X – 11…

A:

Q: The discrete random variable X has the probability function, where k is constant kx x = 2, 4, 6, 8…

A: Answer - The discrete random variable X has the probability function               f(X) = Kx…

Q: The probability of an event depends on the random variable X and can be expressed by the following…

A:

Q: et X be a discrete random variable with P(X = -2) = .1, P(X = 1) = .15, P(X = 2) = .4, P(X = 4) =…

A:

Q: Let X denote a random variable that takes on any of the values -1, 0, 1 with respective…

A: P(X = −1) = 0.2,P(X = 0) = 0.5,P(X = 1) = 0.3.

Q: Let Xbe a random variable with probability distribution as shown below: -1sxs2 S(x)={3 and g(X)-4X…

A:

Q: Find the probability distribution for Y. The table for the probability distribution of Y may have…

A: Here, Y = X^2 + 1

Q: The probability distribution function of a random variable X is P(X =x)= k for x 0,1,2,3,4 where k…

A: (a) We know that  ∑X=04P[X=x] = 1, hence    k=116  answer P(0&lt;X&lt;4) = P[X=1] + P[X=2] + P[X=3]…

Q: The random variable X has probability distribution given in the table below -2 -1 1 2 P(X=x) 0.1 0.3…

A:

Q: If X follows the Poisson probability law such that P (x = 1) = P (x = 2). then ind the probability…

A:

Q: X is a discrete random variable with p.m.f given by P(X=x)= x/c where c is a constant. The support…

A:

Q: The random variable X has CDF Fx(x) x 2) d) Determine E(X) e) Determine Var (X)

A: Given, the cdf of random variable  X: F(x) = 0          x&lt; -30.4           -3≤x&lt;5     0.8…

Q: Q: A ball is drawn at random from an Urn containing 3 yellow and 4 red balls. Choose a sample of (3)…

A: The probability of getting two yellow balls in the sample of 3 balls is given by:…

Q: F(x) is cdf of X. Cumulative probability X is 2,4,7 and 9 is 0.1,0.4,0.8 and 1. calculate the…

A: We can right this cdf in tubular form as X 2 4 7 9 F(X) 0.1 0.4 0.8 1 Hence we have…

Q: Let X and Y be independent, taking on {1,2,3,4,5} with equal probabilities.  E((X+Y)2)=?

A: We have given that X and Y be independent random variables.   The distribution of X is: P( X=x ) =…

Q: Let Z be a discrete random variable taking one of the four distributions, Bernoulli, Binomial ,…

A:

Q: Find: (f(x\y = 4)

A: Here construct joint probability distribution table from given information

Q: Let X be a random variable with the probability distribution below. Find g(x), where g(x) = (2x +…

A: Given datax          -3        6         9f(x)       512      112      12andg(x)=(2x+3)2

Q: Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6)…

A: The following information has been given: We have given that X is a discrete random variable.  P(X =…

Q: The distribution function of the random variable X isgiven byF(x) = 1 − (1 + x)e−x for x &gt; 00 for…

A: The required probabilities are as follows:

Q: Let X be a continuous random variable with probability distribution as shown below x (2x +5, iro<xS1…

A: