Question

Let X be a discrete random variable with positive integer outputs a show that p (X=...

Let X be a discrete random
variable with positive integer outputs
a show that
p (X= K)= P( X> K-1) - P( X> k)
for any positive integer k
b Assume that for all k >I
we have P (X>k)=q^k  use l()
to show that X is a geometric
random variable

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
let x be a discrete random variable with positive integer outputs. show that P(x=k) = P(...
let x be a discrete random variable with positive integer outputs. show that P(x=k) = P( x> k-1)- P( X>k) for any positive integer k. assume that for all k>=1 we have P(x>k)=q^k. use (a) to show that x is a geometric random variable.
Let Y denote a geometric random variable with probability of success p, (a) Show that for...
Let Y denote a geometric random variable with probability of success p, (a) Show that for a positive integer a, P(Y > a) = (1 − p) a (b) Show that for positive integers a and b, P(Y > a + b|Y > a) = P(Y > b) = (1 − p) b This is known as the memoryless property of the geometric distribution.
Let X be a discrete random variable with probability mass function (pmf) P (X = k)...
Let X be a discrete random variable with probability mass function (pmf) P (X = k) = C *ln(k) for k = e; e^2 ; e^3 ; e^4 , and C > 0 is a constant. (a) Find C. (b) Find E(ln X). (c) Find Var(ln X).
1. Let X be a discrete random variable with the probability mass function P(x) = kx2...
1. Let X be a discrete random variable with the probability mass function P(x) = kx2 for x = 2, 3, 4, 6. (a) Find the appropriate value of k. (b) Find P(3), F(3), P(4.2), and F(4.2). (c) Sketch the graphs of the pmf P(x) and of the cdf F(x). (d) Find the mean µ and the variance σ 2 of X. [Note: For a random variable, by definition its mean is the same as its expectation, µ = E(X).]
Let X Geom(p). For positive integers n, k define P(X = n + k | X...
Let X Geom(p). For positive integers n, k define P(X = n + k | X > n) = P(X = n + k) / P(X > n) : Show that P(X = n + k | X > n) = P(X = k) and then briefly argue, in words, why this is true for geometric random variables.
d.)Let X be a discrete random variable equal to the number of girls you have out...
d.)Let X be a discrete random variable equal to the number of girls you have out of 6 children. What is P(X=2 | X=1) P(X=2∣X=1)? a.) Assume that a website allows only lower case letters for password required to have a length of size 5, but does not allow the following choices for the password: (1) all 5 characters are identical and (2) any sequence ending with "gk". If a 5 letter sequence is randomly selected, what is the probability...
Let X be a discrete random variable with the pmf p(x): 0.8 for x=-4, 0.1 for...
Let X be a discrete random variable with the pmf p(x): 0.8 for x=-4, 0.1 for x=-2, 0.07 for x=0, 0.03 for x=2 a) Find E(2/X) b) Find E(lXl) c) Find Var(lXl)
A Poisson random variable is a variable X that takes on the integer values 0 ,...
A Poisson random variable is a variable X that takes on the integer values 0 , 1 , 2 , … with a probability mass function given by p ( i ) = P { X = i } = e − λ λ i i ! for i = 0 , 1 , 2 … , where the parameter λ > 0 . A)Show that ∑ i p ( i ) = 1. B) Show that the Poisson random...
Let K be a random variable that takes, with equal probability 1/(2n+1), the integer values in...
Let K be a random variable that takes, with equal probability 1/(2n+1), the integer values in the interval [-n,n]. Find the PMF of the random variable Y = In X. Where X = a^[k]. and a is a positive number, let n = 7 and a = 2. Then what is E[Y ]?
Let X be a random variable with the pmf p(x) which is positive at x=1;0;1, and...
Let X be a random variable with the pmf p(x) which is positive at x=1;0;1, and zero elsewhere. If E(X^3) = 0 andE(X^2) =p(0),what is p(1)?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT