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 eoe, then N (eoe) = 2. Suppose that the random variable X is defined in terms of N as follows: X=2N²-2N-3. The values of X are given in the table below. Outcome eee oeo eoo eeo eoe ooe oo0 oee Value of X 9 -3 -3 1 I -3 -3 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. Valuex of X P(X=x) 0 0 0 olo X S 4

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 eoe, then N (eoe) = 2. Suppose that the random variable X is defined in terms of N as follows: X=2N²-2N-3. The values of X are given in the table below. Outcome eee oeo eoo eeo eoe ooe oo0 oee Value of X 9 -3 -3 1 I -3 -3 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. Valuex of X P(X=x) 0 0 0 olo X S 4

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

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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