Binomial Probability formula at most and at least

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[masonrolman]

This man is a GOAT. He taught me what my professor couldn't all while having to write backwards.

[ashongabdalla]

With the At Most question. Let’s say “at most 15” Does it mean I have to find the probabilities of 0 to 15?

[garrettwinnek]

Thank you! I was having trouble with a problem and this helped a lot!

[kietnguy]

Thank you, very helpful. This is what I'm looking for the calculation while others rather use Excel

[InlinePaul]

Great explanation but I cant use the shortcut for this one: P(x>=5) where n=10, p=0.4. Does nobody have a super duper formula that crunches all those separate calculations together?

[michelleko]

Is there a faster way to do it? Sometimes there are so many numbers calculating takes a long time.

[nasrinanoor]

At least part, aren't we also supposed to add 2. 1 - P(0) + P(1) + P(2)

[veenoms]

Wouldn't the AT LEAST question also include 2??

[aaddaamm]

how do you put the at least one in the calculator in terms of binomialcdf

[p.zarthea]

How will that apply using integral calculus?

[animeshjain]

In case of Binomial distribution, write an expression
for the probability of at most r successes.