Binomial Distribution: 76% success, 5 independent systems. What's the probability that AT LEAST one program will work?

I would be able to answer it if it was one figure like like only 3 or only 1, but the AT LEAST part is throwing me off.

Question

Binomial Distribution: 76% success, 5 independent systems. What's the probability that AT LEAST one program will work?

I would be able to answer it if it was one figure like like only 3 or only 1, but the AT LEAST part is throwing me off.

kropot72 · Answer

You need to calculate the separate probabilities for 1, 2 3 , 4 and 5 successes and sum them.

anonymous · Answer

Okay, but what if I have a larger number? For example, 30.

kropot72 · Answer

Then you could do with a statistical computer application :)

anonymous · Answer

There is no formula for it?

anonymous · Answer

For "greater than or equal to" sort of questions?

kropot72 · Answer

Under some conditions the binomial distribution can be approximated by the normal distribution or the Poisson distribution.