Consider the probability distributions you have studied so far.

Which of the following distributions apply to discrete random variables? (Select all that apply.)

Binomial Distribution

Poisson Distribution

Geometric Distribution

Normal Distribution

Which apply to continuous random variables? (Select all that apply.)

Binomial Distribution

Poisson Distribution

Geometric Distribution

Normal Distribution

Under what conditions can the binomial distribution be approximated by the normal? Letnbe the number of trials,pbe the probability of success on each trial, andq= 1p.

n30

n100 andnp10

n100 andnp<10

np>5 andnq>5

np5 andnq5

Under what conditions can the binomial distribution be approximated by the Poisson? Letnbe the number of trials,pbe the probability of success on each trial, andq= 1p.

(Select all that apply.)

n30

n100 andnp10

n100 andnp<10

np>5 andnq>5

np5 andnq5