Question

A binomial probability experiment is conducted with given parameters. Compute the probability of x successes in the n independent trials of the experiment.
N=15, p=0.2,×=4

Answer 1

Answer:

P(X = 4) = 0.1876

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this question:

$n = 15, p = 0.2$

We want P(X = 4). So

$P(X = 4) = C_{15,4}.(0.2)^{4}.(0.8)^{11} = 0.1876$