Using the Binomial distribution,

If n=10 and p=0.4, find P(x=5)

P(x=5)=0.2

Step-by-step explanation:

Binomial Distribution

Consider a random event that has only two possible outcomes. Call p to the probability that the event has a 'successful' outcome, and q to the 'unsuccessful' outcome.

It's clear that p+q=1, or q=1-p.

Now repeat the random event n times. We want to calculate the probability of getting x successful outcomes. This can be done with the following formula:

Where

Is the number of combinations:

Calculate the probability for n=10, p=0.4, x=5. It follows that q=1-p=0.6:

P(x=5)=0.2

351.23

step-by-step explanation: