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3. The amount of weight it takes to break a piece of string is normally distributed with u-22 pounds and 4 pounds. You put a weight of 18 pounds on the string. What is the probability that the string breaks? In other words, what is the probability that the weight needed to break the string is less than or equal to 18 pounds? (Hint: This is asking for Prob(-∞o

3. The amount of weight it takes to break a piece of string is normally distributed with u-22 pounds and 4 pounds. You put a weight of 18 pounds on the string. What is the probability that the string breaks? In other words, what is the probability that the weight needed to break the string is less than or equal to 18 pounds? (Hint: This is asking for Prob(-∞o

A First Course in Probability (10th Edition)
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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3. The amount of weight it takes to break a piece of string is normally distributed with u-22 pounds and 4 pounds. You put a weight of 18 pounds on the string. What is the probability that the string breaks? In other words, what is the probability that the weight needed to break the string is less than or equal to 18 pounds? (Hint: This is asking for Prob(-∞o << 18), which can be transformed into an inequality for z. Now think what (a) measures. You might wonder whether <0 should be included. When this is changed to z, we are looking at z <-5.5, which is negligible. See the Technical Point in the section on the normal distribution.) (Give your answer as a decimal rounded to 4 decimal places.) 0.8413 I Output: R
Transcribed Image Text:3. The amount of weight it takes to break a piece of string is normally distributed with u-22 pounds and 4 pounds. You put a weight of 18 pounds on the string. What is the probability that the string breaks? In other words, what is the probability that the weight needed to break the string is less than or equal to 18 pounds? (Hint: This is asking for Prob(-∞o << 18), which can be transformed into an inequality for z. Now think what (a) measures. You might wonder whether <0 should be included. When this is changed to z, we are looking at z <-5.5, which is negligible. See the Technical Point in the section on the normal distribution.) (Give your answer as a decimal rounded to 4 decimal places.) 0.8413 I Output: R
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