Calculate each poisson probability a px 7 15 round your...

Calculate each Poisson probability: (a) P(X ≤ 7), λ = 15 (Round your answer to 4 decimal places.) (b) P(X > 5), λ = 4.7 (Round your answer to 4 decimal places.) (c) P(X < 3), λ = 3.3 (Round your answer to 4 decimal places.)

Transcript

00:01 Hello.

00:03 So we have a pursone distribution.

00:07 Let's first look at the formula.

00:08 So that's probability of x equals x.

00:11 It's given by to the negative lambda times lambda to the x over x factorial.

00:25 So a, you want to find the probability that x is less than equal to seven.

00:37 So, probability that x is less than equal to 7 is the same as the probability that x equals 0 plus probability that x equals 1 up to probability that x equals 7 you can see that that's going to be a very you know long calculation so we can also use excel using excel is going to do equal 2 for sum distribute let me double check my excel and then we're going to put in our 7 then our next input is going to be lambda value which is 15 and we're going to type here true okay so this thing is tied to this value here okay it's true because 7 is cumulative it's less than equal to 7 it's not equal to 7 okay so you are moving from 0 up to 7 that's why we have true okay if you are finding just the probability that x equals 7 then that's going to be false okay so this true here implies cumulative okay so your probability is going to come out to be 018 018 uh...

02:48 Let's look at be you want to find the price probability that x is greater than 5 that is the same as 1 minus the probability of x lesser like 4 so we're going to have 1 minus so for this one we also going to be doing x equal 0 plus x equal 1 up to x equals 5 okay that's also going to take some time so we use excel so we do equal to prosome that distribute we'll put it on our value 5.

03:47 Our lambda was given us 4 .7, right? then this is true...

Question

Calculate each Poisson probability: (a) P(X ≤ 7), λ = 15 (Round your answer to 4 decimal places.) (b) P(X > 5), λ = 4.7 (Round your answer to 4 decimal places.) (c) P(X < 3), λ = 3.3 (Round your answer to 4 decimal places.)

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