Pearson eText for Probability and Statistical Inference -- Instant Access (Pearson+)

10th Edition

ISBN: 9780137538461

Author: Robert Hogg, Elliot Tanis

Publisher: PEARSON+

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Textbook Question

Chapter 5.7, Problem 9E

Let X 1 , X 2 , ... , X 30 be a random sample of size 30 from a Poisson distribution with a mean of 2 3 .

Approximate

(a) P ( 15 ≤ ∑ i = 1 30 X i ≤ 22 ) .

(b) P ( 21 ≤ ∑ i = 1 30 X i < 27 ) .

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Chapter 5.7, Problem 8E

Chapter 5.7, Problem 10E

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Chapter 5 Solutions

Pearson eText for Probability and Statistical Inference -- Instant Access (Pearson+)

Ch. 5.1 - Let X have a geometric distribution with parameter...Ch. 5.1 - Suppose that X is a continuous random variable...Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Let X have a gamma distribution with =3 and =2....Ch. 5.1 - The pdf of X is f(x)=2x,0x1. (a) Find the cdf of...Ch. 5.1 - Prob. 7E Ch. 5.1 - Let X have a logistic distribution with pdf...Ch. 5.1 - A sum of $50000 is invested at a rate R, selected...Ch. 5.1 - The lifetime (in years) of a manufactured product...

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Let X 1 , X 2 , ... , X 30 be a random sample of size 30 from a Poisson distribution with a mean of 2 3 . Approximate (a) P ( 15 ≤ ∑ i = 1 30 X i ≤ 22 ) . (b) P ( 21 ≤ ∑ i = 1 30 X i &lt; 27 ) .

Solution Summary: The author calculates the approximate value of P(15displaystyle underseti=1overset

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Chapter 5 Solutions

Let X 1 , X 2 , ... , X 30 be a random sample of size 30 from a Poisson distribution with a mean of 2 3 . Approximate (a) P ( 15 ≤ ∑ i = 1 30 X i ≤ 22 ) . (b) P ( 21 ≤ ∑ i = 1 30 X i < 27 ) .