Answer:
0.99145 is the probability that the system will work properly.
Step-by-step explanation:
We are given the following information:
The components function independently of one another.
We treat component working properly as a success.
P(component working properly) = 0.9
Then the number of components follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 5 and x = 3
For the system to function if atleast 3 out of 5 will work properly.
We have to evaluate:
0.99145 is the probability that the system will work properly.