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Solved: Let Y1 < Y2 < · · · < Y8 be the order statistics

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 12E Chapter 7.5

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 12E

PROBLEM 12E

Let Y1 < Y2 < · · · < Y8 be the order statistics of eight independent observations from a continuous-type distribution with 70th percentile π0.7 = 27.3.

(a) Determine P(Y7 < 27.3).

(b) Find P(Y5 < 27.3 < Y8).

Step-by-Step Solution:
Step 1 of 3

STAT 2004 WEEK 9 BERNOULLI DISTRIBUTION  In a Bernoulli distribution, an outcome has two possibilities: success or failure. o Success- What we were interested in happened. o Success is represented by a 1, while failure is represented by a 0.  Probability of success is represented by a p.  For a Bernoulli random variable. o X ~ Bernoulli (p) o The expectation of a Bernoulli distribution = the probability of success. (E[X]=p) o Variance [X] = p (1-p) o SD [X] = the square root of the variance  Categorical nominal: o You can put the number of successes and failures into a bar plot. BINOMIAL DISTRIBUTION 0 1  When

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Chapter 7.5, Problem 12E is Solved
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Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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Solved: Let Y1 < Y2 < · · · < Y8 be the order statistics