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 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 (ooc Suppose that the random variable X is defined in terms of N as follows: X= 2N-2N-3. The values of X are given in the table below. Outcome eeo eeeleoo o o0 oee eoeoeo0oe

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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 o ee (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 (00o) = 0.
Suppose that the random variable X is defined in terms of N as follows: X= 2N"-2N-3. The values of X are given in the table below.
Outcome
eee eo0000 0ee eoe oeo 00e
eeo
Value of X
-3
-3
1
1
-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 probablities in
the second row.
Value x of X
P(X=x)
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 o ee (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 (00o) = 0. Suppose that the random variable X is defined in terms of N as follows: X= 2N"-2N-3. The values of X are given in the table below. Outcome eee eo0000 0ee eoe oeo 00e eeo Value of X -3 -3 1 1 -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 probablities in the second row. Value x of X P(X=x)
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