The weather in Vancouver is such that if it rains onany particular day, then the

Question

The weather in Vancouver is such that if it rains onany particular day, then the probability that i twill rain
on the following day is 0.8. Also, if it doesn’t rain onsomeday, then the probability that will rain on the following dayis 0.5. Suppose it rains on some Monday.

What is the expected number of rainy days during this 4-dayperiod?

First, I do not really understand question..

do we have to find the expected value which 4 days are raining.

If it is not how to get the answer...

I really have no idea...help me... :(

Explanation / Answer

Tuesday Wednesday Thursday Friday Probability of rain 0.8 0.8 x 0.8 0.8 x 0.8 x 0.8 0.8 x 0.8 x 0.8 x 0.8 the expected number of rainy days during this 4-day period =summation of the above probability = 2.36 ˜ 2 days

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