Question

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.

  1. show that P(x=k) = P( x> k-1)- P( X>k) for any positive integer k.
  2. assume that for all k>=1 we have P(x>k)=q^k. use (a) to show that x is a geometric random variable.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

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 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
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 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.
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).
Let X be a random variable such that P(X=k) = k/10, for k = 1,2,3,4. Let...
Let X be a random variable such that P(X=k) = k/10, for k = 1,2,3,4. Let Y be a random variable with the same distribution as X. Suppose X and Y are independent. Find P(X+Y = k), for k = 2,...,8.
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 ]?
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).]
Please include the argument in word, thanks Let X ∼ Geom(p). For positive integers n, k...
Please include the argument in word, thanks 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 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
Active Questions
  • After collecting data on 19283 dogs, you find that male vallhunds have an average weight of...
    asked 17 seconds ago
  • Research Target Corporation and assess your satisfaction with the company you researched and make recommendations about...
    asked 1 minute ago
  • Evidence suggests that 70% of FSU students like turtles. Suppose we randomly sampled 15 FSU students....
    asked 1 minute ago
  • Ulrich challenges the appropriateness of the nearly universal symbolism of the spinning wheel as the marker...
    asked 2 minutes ago
  • Differential Equations: Please try to computer type, if not possible be clear and organize. Thank you...
    asked 2 minutes ago
  • In your opinion, what are the three (3) most important benefits an employer can give to...
    asked 8 minutes ago
  • In a test of the effectiveness of garlic for lowering​ cholesterol, 81 subjects were treated with...
    asked 10 minutes ago
  • How does the 95% confidence interval correspond to the reported conclusion at a 0.05 significance level?...
    asked 11 minutes ago
  • 1) Consider the following Java program, which one of the following best describes "setFlavor"? public class...
    asked 11 minutes ago
  • You've had a chance to learn about Facebook, its model, growth, outlook, strategic assets, and competitive...
    asked 11 minutes ago
  • 1. What probability rule applies to this scenario? If 58% of the stats studs surveyed have...
    asked 28 minutes ago
  • 24. Several employees have submitted different methods of assembling a subassembly. Sample data for each method...
    asked 30 minutes ago