Chapter 5.3-5.4

Question 1

What are the requirements for a Binomial Random Variable?

Answer 1

1) Has a fixed number of trials
2) Independent
3) All outcomes have only 2 categories(usually success and failure)
4) The probability of a success is the same in all trials

pg. 294

Question 2

What are the notations for binomial Probability Distributions

Answer 2

n=fixed number of trials–attemps
p=probability of success
q=probability of failure–q=1-p
x=number of successes

pg. 296

Question 3

Formula for Binomial Probability Distributions

Answer 3

P(x)=[n!/(n-x)!Xx!]Xp^xXq^n-x

P(x)=[n!/(n-x)! times x!]times p to x power times q to n-x power

pg. 296

Question 4

binompdf vs binomcdf?

Answer 4

binompdf: used with exactly x successes
binomcdf: used with x or fewer successes (cumulative)
-if not x or fewer then might need to do 1-the complement binomcdf

pg. 298-302

Question 5

Formual for Expected number of successes for a binomial distribution

Answer 5

nXp

n times p

pg. 316

Question 6

Formula for binomial probability distribution of mean and standard deviation?

Answer 6

Mean: u=np
Standard Deviation @=`/npq

Mean: mu=n times p
SD: sigma=square root of n times p times q

pg. 317