Thread: expected value - probability

You are visiting the rainforest, but unfortunately your insect repellent has run out. As a result, at each second, a mosquito lands on your neck with probability 0.5. If a mosquito lands, it will bite you with probability 0.2, and it will never bother you with probability 0.8, independently of other mosquitoes. What is the expected time between successive bites?

Originally Posted by inneedofhelp

You are visiting the rainforest, but unfortunately your insect repellent has run out. As a result, at each second, a mosquito lands on your neck with probability 0.5. If a mosquito lands, it will bite you with probability 0.2, and it will never bother you with probability 0.8, independently of other mosquitoes. What is the expected time between successive bites?

In 1000s 500 mosquitoes land on you and of those 100 bite you, so in 1000
seconds you are bitten on avaerge 100 times ...

RonL

Originally Posted by CaptainBlack

In 1000s 500 mosquitoes land on you and of those 100 bite you, so in 1000
seconds you are bitten on avaerge 100 times ...

RonL

I'm not sure if that answers the question...

What is the expected time between successive bites?

Originally Posted by inneedofhelp

I'm not sure if that answers the question...

What is the expected time between successive bites?

... ellipsis means you should be able to complete the solution from this point.

RonL