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)?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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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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