Introduction to Random Variables

Question 1

A fair coin will be tossed 3 times. Let the random variable X = the number of tails among the

Revolt · Accepted Answer

P(X > ) =: 1; P(X > ) =: 0.5

Question 2

A fair coin will be tossed 3 times. Let the random variable X = the number of tails among the

Revolt · Accepted Answer

P(X = ) =: 2; P(X = ) =: 0.375

Question 3

A pair of fair dice will be rolled. Let the random variable X = the sum of the numbers shown on their faces. The probability distribution of X is given in the table.

Revolt · Accepted Answer

P(X ≠ ) =: 12; P(X ≠ ) =: 0.972

Question 4

The final letter grades earned by students in a large psychology class were converted to grade points in order to calculate the students’ GPAs. An A = 4 points, a B = 3 points, etc. Let the random variable X = the grade point earned by a randomly selected student. The probability distribution of X is given in the table.

Revolt · Accepted Answer

The probability that a randomly selected student earned a grade point of is .: 3 or 4; The probability that a randomly selected student earned a grade point of is .: 0.754

Introduction to Random Variables Answers

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