RV discrete (week 4)

Question 1

bernoulli vs binomial?

Answer 1

binomial multiple times. both of them either yes or no

Question 2

hypergeometric ?

Answer 2

prob of having exactly k white balls when we draw n balls without replacement from an urn that contains w white balls and b black balls

Question 3

hypergeomteric vs binomial?

Answer 3

hypergeometric is without replacement

Question 4

Discrete Uniform Distribution? X ~ DUnif(C)

Answer 4

PMF : 1/|C| if X include C, 0 otherwise

Question 5

Geometric dist

Answer 5

sequence of independent bernoulli trials each with probability of success p. this the number of failures before the first success

Question 6

negative binomial

Answer 6

generalisation of geometric dist. so its number of failure before rth success

Question 7

what is the prob of having ask n people before the success?

Answer 7

use geom

Question 8

what is num of failures bfr nth success?

Answer 8

Nbinom

Question 9

Nbinom parameter r,p,k

Answer 9

k is num of failure, so forexample, need 5 success out of 20, means 15 failures

r is the 5 or the success

p is the prob

Question 10

poisson dist

Answer 10

num of successes in particular period

Question 11

poisson dist parameter λ means

Answer 11

the frequency. misal, if 1 person per 15 mnts, then 1 hours is 60/15 = 4.
so, λ = 4

Question 12

what is k for every dist?

Answer 12

question yg ditanyain! mis kalau di nbinom ya num of failure, kalau di poisson ya num of successes

Question 13

X~Unif (a,b) PMF?

Answer 13

1/b-a