Chains "A" and "B" are made of the same steel. "A" consists of three links and "B"consists of six links, each link having a normal distribution function of the resistingstrength with a mean of 60,000 psi and standard deviation of 5,000 psi. Determinewhich chain is generally weaker (from a probabilistic point of view) by plotting theprobability distribution functions of their resisting strengths on the same diagram.

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Answered: Chains "A" and "B" are made of the same…

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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The height of 10 year old females is normally distributed with a mean of 54.8 inches and a standard deviation of 2.74 inches. If a random 10 year old female is chosen at random, find the probability her height is between 53 inches and 57 inches.
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An elevator has a placard stating that the maximum capacity is 2490 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2490 / 15 = 166 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 166 lb. (Assume that weights of males are normally distributed with a mean of 172 lb and a standard deviation of 26 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. 1 part remaining Clear All Check Answer
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An elevator has a placard stating that the maximum capacity is 1610 lb—10 passengers. So, 10 adult male passengers can have a mean weight of up to 1610/10=161 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 161 lb. (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 25 lb.) Does this elevator appear to be safe? Question content area bottom Part 1 The probability the elevator is overloaded is enter your response here. (Round to four decimal places as needed.)
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