Given a binomial random variable, X = # successes, where the sample size (n) and the probability of a success (p) are given on right, calculate P(X < a) where "a" is given on the right.

n =20

p =0.3

a =2

Given a binomial random variable, X = # successes, where the sample size (n) and the probability of a success (p) are given on right, calculate P(X > a) where "a" is given on the right.

n =20

p =0.2

a =7

Given a binomial random variable, X = # successes, where the sample size (n) and probability of a success (p) are given on right, calculate P(a < X < b) where "a" and "b" are given on the right.

n =20

p =0.2

a =5

b =7

Given a binomial random variable, X = # successes, where the sample size (n) and probability of a success (p) are given on right, calculate E(X)

n =10

p =0.9

Given a poisson random variable, X = # of events that occur, where the average number of events in the sample unit (μ) is given on the right, calculate P(a < X < b) where "a" and "b" are given on right.

μ =5

a =2

b =3

Given a poisson random variable, X = # of events that occur, where the average number of events in the sample unit (μ) is given on the right, calculate P(X = a) where "a" is given on right.

μ =5

a =2

Given a poisson random variable, X = # of events that occur, where the average number of events in the sample unit (μ) is given on the right, determine the smallest critical value (critical value = c) for the random variable such that you have at least a 99% probability of finding c or fewer events.

μ =7.5