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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
icon
Related questions
Question
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,