random deviates

**Jason Bourne** · February 23rd 2008, 03:23 AM

Suppose you have a standard die. Explain how you would generate a random dviate from
1) A Bernoulli distribution with probability of success $p = \frac{1}{3}$
2) A discrete uniform distribution, with $P[X=i] = \frac{1}{4}$ for $i=1,2,3,4$
3) A binomial distribution with $n=20$ and $p=\frac{1}{36}$

**CaptainBlack** · February 23rd 2008, 04:38 AM

Originally Posted by Jason Bourne

Suppose you have a standard die. Explain how you would generate a random dviate from
1) A Bernoulli distribution with probability of success $p = \frac{1}{3}$

Throw the die, count a 1 or 2 as a success and 3, 4, 5 and 6 as fail.

RonL

**CaptainBlack** · February 23rd 2008, 04:43 AM

Originally Posted by Jason Bourne

Suppose you have a standard die. Explain how you would generate a random dviate from 2) A discrete uniform distribution, with $P[X=i] = \frac{1}{4}$ for $i=1,2,3,4$

Throw the die two times.

If first die shows 1, 2, 3 and the second shows 1, 2,or 3 result is 1.
If first die shows 1, 2, 3 and the second shows 4, 5,or 6 result is 2.

If first die shows 4, 5, 6 and the second shows 1, 2,or 3 result is 3.
If first die shows 4, 5, 6 and the second shows 4, 5,or 6 result is 4.

RonL

**CaptainBlack** · February 23rd 2008, 04:47 AM

Originally Posted by Jason Bourne

Suppose you have a standard die. Explain how you would generate a random dviate from

3) A binomial distribution with $n=20$ and $p=\frac{1}{36}$

Throw the die twice, if two 6's show count this as a success. Now repeat 20 times.

RonL

Thread: random deviates

LinkBack

Thread Tools

Display

random deviates

Similar Math Help Forum Discussions

Probability and random random varible question

exponential random variable with a random mean?

What's the difference between discrete random variables and continous random variable

Random vectors & random matrices (1)

R - random deviates

Search Tags