1)  In a certain RPG video game that Ben plays, Lava Trows randomly drop Flame Emeralds 32.75% of the time when defeated. Suppose that there are 8 of these enemies in the area Ben’s character is exploring in the game. a)  Assuming independence of the item drops, what kind of probability distribution would be useful in modeling the number of Flame Emeralds Ben’s character receives if he defeats all the Trows? Also list the parameters and their value along with the mean and variance. b)  What is the probability that Ben’s character will receive exactly 3 Flame Emeralds (the amount his character needs to forge a Tiara of Hotness Immunity)? c)  What is the probability that Ben’s character will receive less than 3 Flame Emeralds?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Practice Quiz 6

  1. 1)  In a certain RPG video game that Ben plays, Lava Trows randomly drop Flame Emeralds 32.75% of the time when defeated. Suppose that there are 8 of these enemies in the area Ben’s character is exploring in the game.

    1. a)  Assuming independence of the item drops, what kind of probability distribution would be useful in modeling the number of Flame Emeralds Ben’s character receives if he defeats all the Trows? Also list the parameters and their value along with the mean and variance.

    2. b)  What is the probability that Ben’s character will receive exactly 3 Flame Emeralds (the amount his character needs to forge a Tiara of Hotness Immunity)?

    3. c)  What is the probability that Ben’s character will receive less than 3 Flame Emeralds?

  2. 2)  Assume that a call center gets an average of 2.4 calls per minute and that these calls are independent of one other.

    1. a)  What kind of distribution would we use to model the number of calls the center received over the next two minutes? Also list the parameters and their value along with the mean and standard deviation.

    2. b)  What is the probability that the call center will get exactly 3 calls in the next two minutes?

    3. c)  What is the probability that the call center will get at least 3 calls in the next two minutes?

 

 

This the answers 

Quiz 6:
1) Binomial
a) n=8, p=.3275, μ=2.62, σ2≈1.762
b) .2706
c) .4826
2) Poisson
a) λ=μ=4.8, σ≈2.191
b) .1517
c) .8575

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