Weekend Weather

Probability Level 1

The expected value for the amount of rain on Saturday and Sunday is 2 inches and 3 inches, respectively. There is a 50% chance of rain on Saturday. If it rains on Saturday, there is a 75% chance of rain on Sunday, but if it does not rain on Saturday, then there is only a 50% chance of rain on Sunday.

What is the expected value (in inches) for the amount of rain over the weekend?

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Eli Ross by Eli Ross

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4 solutions

Alex Li
Feb 27, 2016

The question does not state "If it rains on saturday or sunday, it will rain 2 or 3 inches." Rather, it says that the EXPECTED VALUE of rain on saturday and sunday is 2 and 3 inches. In other words, it's already been calculated, and you can just add them together.

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well, trump is a turd

boner boner - 1 year, 6 months ago
Gary Popkin
Sep 21, 2015

We are given the expected values we need. All the other "information" is smokescreen. The solution is the sum of the given expected values, 2 + 3 = 5.

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Jan Riebling
May 15, 2020

Expected values are already given in the question. Therefore E[Sat] + E[Sun] = 2 + 3 = 5

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Satya Prakash
Oct 14, 2019

Since there is expectation of rains on both the days, we can calculate using the linearity of expectation: E[Sat+Sun] = E[Sat] + E[Sun] = 2 inches + 3 inches = 5 inches

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