Question

A binomial experiment has the given number of trials N and the given success probability P.

N=8 and P=0.1
P(1)

Answer 1

The probability of the success will be 0.3826.

What is binomial distribution?

Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

$\rm P(x) = \: ^nC_xp^x(1-p)^{n-x}$

We have

n = 8

p = 0.1

q = 1 – 0.1 = 0.9

x = 1

Then we have

P(1) = ⁸C₁ x (0.1)¹ x (0.9)⁷

P(1) = 0.3826

Learn more about binomial distribution here:

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