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4. The random variable D counts the number of iterations of the process required to have a ◇ turn up for the fourth time. What are P(D = 4), E(D), and V(D)? 5. The random variable Xk, where k ≥ 1, counts the number times a or turns up in in the 100(k − 1) + 1st through the 100kth iterations of the process. The random variable Y returns n if Xn > 50, but Xk ≤ 50 for all k with 1 ≤ k < n. What are P(Y = 3), E(Y), and V(Y)?

4. The random variable D counts the number of iterations of the process required to have a ◇ turn up for the fourth time. What are P(D = 4), E(D), and V(D)? 5. The random variable Xk, where k ≥ 1, counts the number times a or turns up in in the 100(k − 1) + 1st through the 100kth iterations of the process. The random variable Y returns n if Xn > 50, but Xk ≤ 50 for all k with 1 ≤ k < n. What are P(Y = 3), E(Y), and V(Y)?

College Algebra
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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All of the questions relate, in one way or another, to the following process, which uses a standard 52-card deck: Step 1. Shuffle the deck throughly. Step 2. Draw a card from the deck. Step 3. Record which card was drawn. Step 4. Replace the card in the deck. Step 5. Go to step 1. Yes, the process never ends :-) 4. The random variable D counts the number of iterations of the process required to have a turn up for the fourth time. What are P(D = 4), E(D), and V(D)? 5. The random variable Xk, where k ≥ 1, counts the number times a or turns up in in the 100(k − 1) + 1st through the 100kth iterations of the process. The random variable Y returns n if Xn > 50, but Xk ≤ 50 for all k with 1 ≤ k < n. What are P(Y = 3), E(Y), and V(Y)?
Transcribed Image Text:All of the questions relate, in one way or another, to the following process, which uses a standard 52-card deck: Step 1. Shuffle the deck throughly. Step 2. Draw a card from the deck. Step 3. Record which card was drawn. Step 4. Replace the card in the deck. Step 5. Go to step 1. Yes, the process never ends :-) 4. The random variable D counts the number of iterations of the process required to have a turn up for the fourth time. What are P(D = 4), E(D), and V(D)? 5. The random variable Xk, where k ≥ 1, counts the number times a or turns up in in the 100(k − 1) + 1st through the 100kth iterations of the process. The random variable Y returns n if Xn > 50, but Xk ≤ 50 for all k with 1 ≤ k < n. What are P(Y = 3), E(Y), and V(Y)?
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