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 odd rolls in each outcome. For example, if the outcome is ooo, then =Nooo3. Suppose that the random variable X is defined in terms of N as follows: =X−2N−N23. The values of X are given in the table below. Outcome ooo eeo ooe eoe eee oee oeo eoo Value of X −6 −2 −3 −2 −3 −2 −3 −3 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)
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 odd rolls in each outcome. For example, if the outcome is ooo, then =Nooo3. Suppose that the random variable X is defined in terms of N as follows: =X−2N−N23. The values of X are given in the table below. Outcome ooo eeo ooe eoe eee oee oeo eoo Value of X −6 −2 −3 −2 −3 −2 −3 −3 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)
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 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 odd rolls in each outcome. For example, if the outcome is ooo, then =Nooo3. Suppose that the random variable X is defined in terms of N as follows: =X−2N−N23. The values of X are given in the table below.
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.
| Outcome |
ooo
|
eeo
|
ooe
|
eoe
|
eee
|
oee
|
oeo
|
eoo
|
|---|---|---|---|---|---|---|---|---|
| Value of
X
|
−6
|
−2
|
−3
|
−2
|
−3
|
−2
|
−3
|
−3
|
Calculate the probabilities P (X = x) of the
|
|
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