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thank you Based on Data, the probability of Fun Land earning a profit is 50%, th

ID: 2502345 • Letter: T

Question


thank you

Based on Data, the probability of Fun Land earning a profit is 50%, the probability of breaking even is 30%, and the probability of losing money is 20%. Historically if Fun Land earned a profit the economy was good 80% of the time, if Fun Land broke even the economy was good 45% of the time, and if Fun Land lost money the economy was good 25% of the time. Fun Land is opened this week and the current economy is not good. What is the probability of Fun Land making a profit? What is the probability of Fun Land breaking even? What is the probability of a good economy? What is the probability of a not good economy?

Explanation / Answer

PROBABILITY OF FUN LAND MAKING A PROFIT = 0.50*0.20

=0.1

=10%



PROBABILITY OF FUN LAND BREAKING EVEN = 0.30*0.55

=0.165

=16.5%



PROBABILITY OF A GOOD ECONOMY = 0.50*0.80 + 0.30*0.45 + 0.20*0.25

=0.4+0.135+0.05

=0.585

=58.5%



PROBABILITY OF NOT A GOOD ECONOMY = 1-0.585

=0.415