1. ## Markov Inequality

If are independent random variables with common distribution Poisson(1). Find with markov inequality a upper limit for

I think there was a typing problem in this matter, because look
I know that so with markov inequality

Not make sense the probability greather than 1.

2. ## Re: Markov Inequality

You inequality says the the probability is less than or equal to 1.25 - not greater than 1. This is a true statement is it not?

3. ## Re: Markov Inequality

Originally Posted by Dason
You inequality says the the probability is less than or equal to 1.25 - not greater than 1. This is a true statement is it not?
Yes the sentence is true, but if I say that the probability is less than or equal than 1.25 it can be for example 1.1 which does not make sense to me.

4. ## Re: Markov Inequality

If I tell you that .7 is less than 1.25 that doesn't mean that .7 can be 1.1. The *inequality* is just giving you a bound. All that matters is if the true probability actually falls in the range that your inequality dictates. All of the values in your inequality don't need to be possible values for the probability. Just like how even if the inequality said that the probability was < .9 you wouldn't say that it's wrong because a probability of -0.3 isn't possible (and note that -0.3 falls in the bounds of the inequality given...)

5. ## Re: Markov Inequality

Originally Posted by Dason
If I tell you that .7 is less than 1.25 that doesn't mean that .7 can be 1.1. The *inequality* is just giving you a bound. All that matters is if the true probability actually falls in the range that your inequality dictates. All of the values in your inequality don't need to be possible values for the probability. Just like how even if the inequality said that the probability was < .9 you wouldn't say that it's wrong because a probability of -0.3 isn't possible (and note that -0.3 falls in the bounds of the inequality given...)
Yeah, now I get it.

Question b) Use CLT for obtaining an aproximation for
What I do

Now

6. ## Re: Markov Inequality

Seems alright to me.

7. ## Re: Markov Inequality

Originally Posted by Dason
Seems alright to me.
Thank you. Solved.

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