Consider the probability distribution f(x) =...

Consider the probability distribution $f(x) = (0.0052)(0.9948)^x$, $x = 0, 1, 2, 3, 4, 5,...$ Find $P(X \geq 11)$.\nSelect one:\na. 0.949200080\nb. 0.939354065\nc. 0.934469424\nd. 0.944264239\ne. 0.954161721

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Transcript

0:00 All right.

00:01 So we have a discrete probability distribution here, or x values of 2, 4, 6, and 9, and the given probabilities with a question mark into the 5.

00:10 Find the probability that x is bigger than 3.

00:13 Well, the probability of the x is bigger than 3 is going to be here and to the right.

00:18 So 5, 6, 7, excuse me, 5, 6, and 9, these are the probabilities.

00:24 So some of those probabilities would be the probability the x is bigger than 3.

00:29 So the question is, what's this value? well, we have to think about what a probability distribution means.

00:37 And for it to be a probability distribution, i was about to say one of the features of the probability distribution.

00:47 But it's actually the thing that makes it a distribution is that all values are greater than zero, because the probabilities have to be between one and zero.

00:59 So all probabilities be greater than zero.

01:12 That's just how probability works.

01:13 And the sum of the probabilities must be one.

01:31 Some of all.

01:34 That gives us how we have to think about this.

01:37 So what we want to do is what's the x value or the question mark that makes this whole thing to one.

01:46 So we can also do 1 minus 0 .09...