2.2

Question 1

What is a binomial random variable?

Answer 1

The experiment has identical independent trials and the number of trials is fixed, there are 2 dichotomous options such as yes/no, the probability of the trial being successful is constant for all of the trials and replacement occurs.

Question 2

What function do you use in R to find the exact values for binomial random variables?

Answer 2

dbinom (x, size, p)

Question 3

What function do you use in R to find the tailing values for binomial random variables?

Answer 3

pbinom (q, size, p)

Question 4

What are hypergeometric random variables?

Answer 4

The experiment involves randomly selected elements without replacement, the experiment has 2 dichotomous options such as yes/no, the success probability of the trial changes per trial.

Question 5

What is the difference between hypergeometric and binomial random probability?

Answer 5

The primary difference is that the probability of success of the trial is constant for binomial random variables and changing for hypergeometric random variables. Also, hypergeometric variables do not replace the sampling but the binomial random variable does.

Question 6

What function in R can be used to calculate the exact values for hypergeometric random variables?

Answer 6

dhyper (x, m, n, k)

Question 7

What function in R can be used to calculate the tailing values for hypergeometric random variables?

Answer 7

phyper (q, m, n, k)

Question 8

What is the Poisson random variable distribution?

Answer 8

The experiment involves a given amount of time or area, the probability of an event occurring in the time/area is the same for all other plots, the number of events is independent.

Question 9

What does lambda represent?

Answer 9

This is the average or expected value that a number of events will occur during or in the amount of time/area.

Question 10

What is reparametrizing?

Answer 10

If something changes such as the area or the amount of time the average that was given will have to be altered by multiplying by time/area.

Question 11

What is the function that codes for exact values for Poisson?

Answer 11

dpois (x, lambda)

Question 12

What is the function that codes for tail values for Poisson?

Answer 12

ppois (x, lambda)

Question 13

What are the parameters of binomial random variables?

Answer 13

P = the probability of success of the trial 
n = the number of trials in the experiment

Question 14

What are the parameters of Poisson random variables?

Answer 14

lambda = the average number of events taking place in the time/area

Question 15

What are the parameters of hypergeometric random variables?

Answer 15

m = the number of successes of the population
n = the number of failures of the population 
k = the number of elements drawn from the population (m+n)

Question 16

What is a parameter?

Answer 16

The values define a random variables’ probability distribution.