Consider the following binomial experiment. a company owns 4 machines. the probability that on a given day any one machine will break down is 0.53. what is the probability that at least 2 machines will break down on a given day? a) 0.6960b) 0.5398c) 0.8638d) 0.0225e) 0.5806

There is a 73.11% probability that at least 2 machines will break down on a given day.

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.

In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

There are 4 machines, so .

The probability that on a given day any one machine will break down is 0.53. This means that .

What is the probability that at least 2 machines will break down on a given day?

In which

So

There is a 73.11% probability that at least 2 machines will break down on a given day.

m a t h w a y. c o m

step-by-step explanation: