Question

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.

n = 15, p = 0.3, X = 3
P(3)=0

Answer 1

`P(x = 3) = 0.1700`

Step-by-step explanation:

Given

`n = 15`

`p = 0.3`

Required

Determine P(x = 3)

This is calculated using:

`P(x) = ^nC_xp^x(1-p)^(n-x)`

So, we have:

`P(x = 3) = ^(15)C_3*0.3^3*(1-0.3)^(15-3)`

`P(x = 3) = ^(15)C_3*0.3^3*(1-0.3)^(12)`

`P(x = 3) = 455 *0.027*(0.7)^(12)`

`P(x = 3) = 455 *0.027*0.0138412872`

`P(x = 3) = 0.17004021325`

`P(x = 3) = 0.1700`