Answer:
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.