An number cube (a fair die) is rolled 3 times. For each roll, we are interested in whether the roll comes up even or odd. An outcome is represented by a string of the sort oee (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). For each outcome, let N be the random variable counting the number of even rolls in each outcome. For example, if the outcome is ooo, then N (ooo) = 0. Suppose that the random variable X is defined in terms of N as follows: X=6N-2N² -2. The values of X are given in the table below. Outcome oeo ooe eeo eee eoe eoo ooo oee Value of X 2 2 2 -2 2 2 -2 2 Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X P(X=x) 0 0 olo X S
An number cube (a fair die) is rolled 3 times. For each roll, we are interested in whether the roll comes up even or odd. An outcome is represented by a string of the sort oee (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). For each outcome, let N be the random variable counting the number of even rolls in each outcome. For example, if the outcome is ooo, then N (ooo) = 0. Suppose that the random variable X is defined in terms of N as follows: X=6N-2N² -2. The values of X are given in the table below. Outcome oeo ooe eeo eee eoe eoo ooo oee Value of X 2 2 2 -2 2 2 -2 2 Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value X of X P(X=x) 0 0 olo X S
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Transcribed Image Text:An number cube (a fair die) is rolled 3 times. For each roll, we are interested in whether the roll comes up even or odd. An outcome is represented by a string of
the sort oee (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll).
For each outcome, let N be the random variable counting the number of even rolls in each outcome. For example, if the outcome is ooo, then N (ooo) = 0.
Suppose that the random variable X is defined in terms of N as follows: X=6N-2N² -2. The values of X are given in the table below.
Outcome oeo ooe eeo eee eoe eoo ooo oee
Value of X 2 2 2 -2 2 2 -2 2
Calculate the probabilities P (X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in
the second row.
Value X of X
P(X=x)
0 0
믐
X
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