Homework Answers
![x = 2 P[x = x] = ka x = 2,4,5. P[ X = 2] = 2k P[X=4] = 4k P[x=5 ] =sk L x P[x=x Tokel 2 4 1 zk 4k s sk I since it is probabil](http://img.homeworklib.com/questions/593f39c0-71b4-11ea-93a4-975ed8959c9a.png?x-oss-process=image/resize,w_560)
![1 2 _2 4 _1 5 _S_ _PLx-»] ex) - 2XP Cxzx] - 2X2 + 444 + 5 : 4S E) = 14.09 9 9 | 1Ex2) : 2 22 Exzx 2ܡܢ - xf 25 + ܟ * I + 11 ܕ](http://img.homeworklib.com/questions/59d3f820-71b4-11ea-8268-2b3d10c580af.png?x-oss-process=image/resize,w_560)
![Date V(x) = Ecx? - Exit = 17.9091- [4.ogog] = 17.90g - 16.7355 V(x) = 1.1736 F(x) F(x ) E(x)](http://img.homeworklib.com/questions/5a6b5f00-71b4-11ea-930d-69c5df2727c1.png?x-oss-process=image/resize,w_560)
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sc I The discrete random variable X has the following probability mass function: P(X = x)...
The discrete random variable X has the following probability mass function:
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 mass function: p(2) DETİ, for x EA; an...
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....
2. The random variable, X has the following probability mass function (i) Find the value of...
2. The random variable, X has the following probability mass function (i) Find the value of the constant c. HINT: It will help to use the identity = (i) Find the cumulative distribution function of X and sketch both the probability mass function and the cumulative distribution function NOTE: Think carefully about the values of r for which you need to define the distribution function. (ii) Calculate P(X 2 50) and PX 2 50 x2 40
discrete random variable has probability mass function, P(X = n) = ?1?n. ? 1, forxeven Let...
discrete random variable has probability mass function, P(X =
n) = ?1?n.
? 1, forxeven Let Y = −1, for x odd
Find the expected value of Y ; (E[y]).
probability function mass A discrete random variable has P ( X = n) = (3) for x Y = { for Find the expected value of Y CE(y)] Let even x odd
5. Let X be a discrete random variable. The following table shows its possible values r...
5. Let X be a discrete random variable. The following table shows its possible values r and the associated probabilities P(X -f(x) 013 (a) Verify that f(x) is a probability mass function (b) Calculate P(X < 1), P(X < 1), and P(X < 0.5 or X > 2). (c) Find the cumulative distribution function of X ompute the mean and the variance of
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2...
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
5. Consider the discrete random variable X with probability mass function p.) = (3/30 for r=1...
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...
Suppose that a random variable X has a discrete distribution with the following probability mass function:
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 probability mass function p(k) = 1/5, k =...
Let X be a discrete random variable with probability mass function p(k) = 1/5, k = 1, 2, . . . , 5, zero elsewhere. (a) Find the moment generating function of X. (b) Use the moment generating function in (a) to determine the convolution of two identical probability mass functions given above. This is identical to asking the probability mass function of X + Y and where X and Y are independent and each has probability mass function given...
Consider a discrete random variable X with the probability mass function p X ( x )...
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....
2. The random variable, X has the following probability mass function (i) Find the value of the constant c. HINT: It will help to use the identity = (i) Find the cumulative distribution function of X and sketch both the probability mass function and the cumulative distribution function NOTE: Think carefully about the values of r for which you need to define the distribution function. (ii) Calculate P(X 2 50) and PX 2 50 x2 40
discrete random variable has probability mass function, P(X =
n) = ?1?n.
? 1, forxeven Let Y = −1, for x odd
Find the expected value of Y ; (E[y]).
probability function mass A discrete random variable has P ( X = n) = (3) for x Y = { for Find the expected value of Y CE(y)] Let even x odd
5. Let X be a discrete random variable. The following table shows its possible values r and the associated probabilities P(X -f(x) 013 (a) Verify that f(x) is a probability mass function (b) Calculate P(X < 1), P(X < 1), and P(X < 0.5 or X > 2). (c) Find the cumulative distribution function of X ompute the mean and the variance of
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...
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