Question

Let U be a random variable that is uniformly distributed on (0; 1), show how to...

Let U be a random variable that is uniformly distributed on (0; 1), show how to use U to generate the following random variables: (a) Bernoulli random variable with parameter p; (b) Binomial random variable with parameter n and p; (c) Geometric random variable with parameter p.

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 U be a Standard Uniform random variable. Show all the steps required to generate: An...
Let U be a Standard Uniform random variable. Show all the steps required to generate: An exponential random variable with the parameter λ = 3.0; A Bernoulli random variable with the probability of success 0.65; A Binomial random variable with parameters ​n ​ = 12 and ​p ​ = 0.6;
Let {Xj} ∞ j=1 be a collection of i.i.d. random variables uniformly distributed on [0, 1]....
Let {Xj} ∞ j=1 be a collection of i.i.d. random variables uniformly distributed on [0, 1]. Let N be a Poisson random variable with mean n, and consider the random points {X1 , . . . , XN }. b. Let 0 < a < b < 1. Let C(a,b) be the number of the points {X1 , . . . , XN } that lies in (a, b). Find the conditional mass function of C(a,b) given that N =...
Let U,V be i.i.d. random variables uniformly distributed in [0,1]. Compute the following quantities: E[|U−V|]= P(U=V)=...
Let U,V be i.i.d. random variables uniformly distributed in [0,1]. Compute the following quantities: E[|U−V|]= P(U=V)= P(U≤V)=
The random variable X is uniformly distributed in the interval [0, α] for some α >...
The random variable X is uniformly distributed in the interval [0, α] for some α > 0. Parameter α is fixed but unknown. In order to estimate α, a random sample X1, X2, . . . , Xn of independent and identically distributed random variables with the same distribution as X is collected, and the maximum value Y = max{X1, X2, ..., Xn} is considered as an estimator of α. (a) Derive the cumulative distribution function of Y . (b)...
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...
Included all steps. Thanks The random variable X is uniformly distributed in the interval [0, α]...
Included all steps. Thanks The random variable X is uniformly distributed in the interval [0, α] for some α > 0. Parameter α is fixed but unknown. In order to estimate α, a random sample X1, X2, . . . , Xn of independent and identically distributed random variables with the same distribution as X is collected, and the maximum value Y = max{X1, X2, ..., Xn} is considered as an estimator of α. (a) Derive the cumulative distribution function...
Let X be the random variable for losses. X is uniformly distributed on (0, 2000). An...
Let X be the random variable for losses. X is uniformly distributed on (0, 2000). An insurance policy will pay Y = 500 ln(1-(x/2000)) for a loss. a. What is the probability density function for Y ? Give the range for which the pdf is positive. b. What is the probability the policy will pay between 400 and 600?
You are given: X is a continuous random variable that is uniformly distributed over (0, 5)....
You are given: X is a continuous random variable that is uniformly distributed over (0, 5). Y is a discrete random variable that is uniformly distributed over the integers 0, 1, 2, 3, and 4. Calculate P(X<=Y).
a)—Random variable y is continuously and uniformly distributed between 0 to 1.what is the probability that...
a)—Random variable y is continuously and uniformly distributed between 0 to 1.what is the probability that y =0.33? b)—Random variable X is continuously and uniformly distributed over the range 0 to 7.1. What is σx the standard deviation of x?
Develop an algorithm for generation a random sample of size N from a binomial random variable...
Develop an algorithm for generation a random sample of size N from a binomial random variable X with the parameter n, p. [Hint: X can be represented as the number of successes in n independent Bernoulli trials. Each success having probability p, and X = Si=1nXi , where Pr(Xi = 1) = p, and Pr(Xi = 0) = 1 – p.] (a) Generate a sample of size 32 from X ~ Binomial (n = 7, p = 0.2) (b) Compute...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT