Answered: Select the appropriate distribution for…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Question

Travis plays Grog, a barbarian, in Matt's Dungeons & Dragons campaign. Travis has a feature that allows Grog to critically hit when he rolls either a 19 or a 20 when rolling for an attack using a 20-sided die. Thus, Grog will critically hit about 10% of the time. A statistician randomly selects 20 attack rolls Travis makes from throughout the campaign. Let X count the number of critical hits Grog makes in the group of 20 of Travis' attack rolls randomly selected by the statistician.

Select the appropriate distribution for the random variable X.

Group of answer choices

X∼Bin(20,0.1)

X∼Poisson(20)

X∼Poisson(0.1)

X∼Bin(0.1,20)

Compute the probability that Grog critically hits between 3 and 5 times (inclusive) in the 20 attack rolls selected by the statistician.

Compute the mean number of critical hits by Grog in a randomly selected group of 20 attacks.

Using the mean and standard deviation, complete the description below.

"In a randomly selected group of 20 attacks, Grog critically hits between and times."

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