Below is another student's solution to a normal approximation problem. Identify each step with an error compared to the previous steps, and explain why it is an error Problem: In a game, 1 in 5 treasure chests contains a rare item. Calculate the probability that you find 8 rare items in a collection of 50 treasure chests, using the normal approximation to the binomial distribution. Solution:
Below is another student's solution to a normal approximation problem. Identify each step with an error compared to the previous steps, and explain why it is an error Problem: In a game, 1 in 5 treasure chests contains a rare item. Calculate the probability that you find 8 rare items in a collection of 50 treasure chests, using the normal approximation to the binomial distribution. Solution:
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:a) o = = √npq
b) o = √(50) (0.2) (0.8)
c) a = 8
d) The continuity correction for 8 is between 7 and 9
7-10
8
e) 27 =
= -0.38
=
=
9-10
f) Zg
-0.13
8
g) P(7<x<9) = P(z < -0.13) - P(z < -0.38)
h) P(x=8) .44828.35197 = 0.09631
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Transcribed Image Text:Below is another student's solution to a normal approximation problem. Identify each
step with an error compared to the previous steps, and explain why it is an error
Problem:
In a game, 1 in 5 treasure chests contains a rare item.
Calculate the probability that you find 8 rare items in a collection of 50 treasure
chests, using the normal approximation to the binomial distribution.
Solution:
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