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gladu
3 months ago
8

You are visiting a rainforest, but unfortunately,your insect repellent has run out. As a result, at each second, a mosquito land

s 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?
Mathematics
1 answer:
tester [12.3K]3 months ago
6 0

Answer:

Step-by-step explanation:

The probability that a mosquito lands on your neck per second is 0.5

The chance of it biting once it lands is 0.2

The likelihood that it does not bite after landing is 0.8

Therefore, the probability of a bite in one second is 0.5(0.2) = 0.01

This translates to a 1/100 likelihood of being bitten in just one second

Over the course of 100 seconds, the expected number of bites is =1

The anticipated interval between bites is 100

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