Determine the missing value so that the probability distribution is valid. x P(D=x) 1   2 0.26 3 0.34 4 0.28 True or False:  The random variable D is a continuous random variable. Compute the probability that at most a 2 is rolled on a single roll of the die.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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Dragon Dice is a tabletop game that uses modified dice to roll for the values 1, 2, 3 and 4 (note that the die is not fair).  Let the random variable D represent the value of a single roll of the die.

The table below represents the probability distribution for the random variable D.  Determine the missing value so that the probability distribution is valid.

x P(D=x)
1  
2 0.26
3 0.34
4 0.28

True or False:  The random variable D is a continuous random variable.

Compute the probability that at most a 2 is rolled on a single roll of the die.

On your turn, you attempt to capture a Giggling Goblin with a stomp attack using two dice.  To capture the Giggling Goblin, you must roll a total of at least 5.  On the first die roll you roll a 1.  Choose the most correct statement concerning your chances of capturing a Giggling Goblin on this turn.
Group of answer choices
a. There is no way to capture a Giggling Goblin since P(D≥5)=0.
b. There is a 28% chance to capture a Giggling Goblin since P(D=4)=0.28.
c. There is no way to capture a Giggling Goblin since P(D=5)=0.
d. There is a 72% chance to capture a Giggling Goblin since P(D=4)=0.28 and P(D<4)=1−P(D=4)=1−0.28.
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