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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 = 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 odd rolls in each outcome. For example, if the outcome is eoe, then N (eoe) = 1. Suppose that the random variable X is defined in terms of N as follows: X = N²-N-1. The values of X are given in the table below. Outcome eoe eee ooe oee eoo oeo 000 eeo Value of X-1 -1 1 -1 1 1 5 -1 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) Check 0 0 0 0 n olo C X $ 33 Oll Save For Later Submit Ass Ⓒ2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center 19

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 = 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 odd rolls in each outcome. For example, if the outcome is eoe, then N (eoe) = 1. Suppose that the random variable X is defined in terms of N as follows: X = N²-N-1. The values of X are given in the table below. Outcome eoe eee ooe oee eoo oeo 000 eeo Value of X-1 -1 1 -1 1 1 5 -1 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) Check 0 0 0 0 n olo C X $ 33 Oll Save For Later Submit Ass Ⓒ2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center 19

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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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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 a 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 odd rolls in each outcome. For example, if the outcome is eoe, then N (eoe) = 1. 2 Suppose that the random variable X is defined in terms of N as follows: X= N²-N-1. The values of X are given in the table below. Outcome eoe eee 00e0ee eoo 000 000 eeo Value of X-1 Value X of X P(X=x) 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. Check 1 -1 1 1 0 0 0 0 0 C 3 5 X 1 M D 31 Save For Later Submit Ass 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center HOME PRES 188
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 a 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 odd rolls in each outcome. For example, if the outcome is eoe, then N (eoe) = 1. 2 Suppose that the random variable X is defined in terms of N as follows: X= N²-N-1. The values of X are given in the table below. Outcome eoe eee 00e0ee eoo 000 000 eeo Value of X-1 Value X of X P(X=x) 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. Check 1 -1 1 1 0 0 0 0 0 C 3 5 X 1 M D 31 Save For Later Submit Ass 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center HOME PRES 188
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