Determine the possible values of the given random variable and indicate as your answer whether the random variable is finite discrete, infinite discrete, or continuous. A 12-sided die is tossed 1020 times. Let the random variable X be the number of times that the 12-sided die shows 8 dots.

A) What are the possible values of X?

S = X ... S = {0, 1, 2, ... } ... none of these ... S = 0 ≤ X ≤ 1020 ... S = {0, 1, 2, ... 1020}

B) Classify X.

infinite discrete random variable ... finite discrete random variable ... continuous random variable.

Question

Mathematics

Starr

13 May, 10:59

Determine the possible values of the given random variable and indicate as your answer whether the random variable is finite discrete, infinite discrete, or continuous. A 12-sided die is tossed 1020 times. Let the random variable X be the number of times that the 12-sided die shows 8 dots.

A) What are the possible values of X?

S = X ... S = {0, 1, 2, ... } ... none of these ... S = 0 ≤ X ≤ 1020 ... S = {0, 1, 2, ... 1020}

B) Classify X.

infinite discrete random variable ... finite discrete random variable ... continuous random variable.

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Answers (1)

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Noe · Answer 1

A) S={0,1,2, ...,1020}

B) X is a finite discrete random variable.

Step-by-step explanation:

A) What are the possible values of X?

Since the die is tossed 1020 times, it can show 8 dots 0, 1, 2, ... or 1020 times. Hence, the possible values of X are

S={0,1,2, ...,1020}

B) Classify X as infinite discrete random variable, finite discrete random variable, continuous random variable.

Since X can only have a finite number of outcomes (the number of elements in S), X is a finite discrete random variable.