Question

Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.

n=5​, x=2​, p=0.55

P(2) = ​(Round to three decimal places as​ needed.)

Answer 1

Solution:

Given:

n=5​,

x=2​,

p=0.55

Find: P(2) =............?

We have to use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.

Binomial probability formula :

Where

and q = 1 - p = 1 - 0.55 = 0.45

Thus