The Physics department is haunted by ghosts. They are either spooky or scary, bu

Question

The Physics department is haunted by ghosts. They are either spooky or scary, but I don't know which. In fact, I think that it's 50% likely that the ghosts are either spooky or scary. I do know that all the ghosts are the same kind. Each time the ghosts eat a physics student, they leave behind a distinct, measureable puddle of ectoplasm. The difference between spooky and scary ghosts is that after spooky ghosts eat a physics student, they leave behind a puddle of ectoplasm that weighs on average 1 kg with a standard deviation of 100 grams, while when scary ghosts eat a physics student, they leave behind a puddle of ectoplasm that weighs on average 1.1 kg with a standard deviation of 100 grams. It is a true fact that the weight of ectoplasm is normally distributed for both spooky and scary ghosts. You can look all this stuff up on Wikipedia. 3. a. Use Python to make a graph of the probability the ghosts are spooky vs. the weight of the b. If I feed N physics students to spooky ghosts, what do I expect the mean and standard deviation c. Make a graph showing the probability the ghosts are spooky vs. the average weight of the ectoplasm they leave behind after eating a single student. to be for the average weight of the ectoplasm puddles? For scary ghosts? ectoplasm they leave behind after I feed 4, 25, and 100 students to the ghosts.

Explanation / Answer

P(monsters are spooky) = 0.7 , P(monsters are scary) = 0.3

P(monsters are ghosts) = 0.25

P(ghost are spooky) = 0.8 , P(ghost are scary) = 0.2

(a) P(Spooky ghost given that it is a monster) = 0.25* 0.8 = 0.2

(b) P(not a Spooky ghost given that it is a monster) = 0.7*(1-0.25) = 0.525

(c) )P(monster is spooky given that it not a ghost) = P(Monster is spooky and not a ghost)/P(not a ghost)

=0.525/0.75 = 0.7

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