Question

Consider the following binomial experiment:

Answer 1

Answer:

0.624

Step-by-step explanation:

Given that:

Number of copiers with the company = 4

It is a binomial experiment.

Probability that on a given day, one copier will break down = $\frac{23}{50}$

$p = \frac{23}{50}$ = 0.46

$q = 1-p = 1-\frac{23}{50}= \frac{27}{50}$ = 0.54

Formula for Binomial probability:

$P(x=r) = _{n}C_{r}p^rq^{n-r}$

We have to find $P(x >= 2)$

$P(x >= 2) = P(X=2)+P(X=3)+P(X=4)$

$P(x=2) = _{4}C_{2}0.46^2\times 0.54^{2} = 0.37\\P(x=3) = _{4}C_{3}0.46^3\times 0.54 = 0.21\\P(x=4) = _{4}C_{4}0.46^4\times 0.54^{0} = 0.044$

$P(x >= 2) = 0.37 + 0.21 + 0.044 = \bold{0.624}$