Probability of a success

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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

 

Reference no: EM132141111

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