A manufacturer knows that their items have a normally distributed length, with a mean of 13.6 inches, andstandard deviation of 3.2 inches.If 25 items are chosen at random, what is the probability that their mean length is less than 14.5 inches?Round your answer to four places after the decimal. A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 231.7 cmand a standard deviation of 1.3 cm. For shipment, 8 steel rods are bundled together. Find the probability thatthe average length of a randomly selected bundle of steel rods is between 231 cm and 231.3 cm.P(231 cm

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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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A manufacturer knows that their items have a normally distributed length, with a mean of 13.6 inches, and standard deviation of 3.2 inches. If 25 items are chosen at random, what is the probability that their mean length is less than 14.5 inches? Round your answer to four places after the decimal.