Hi, can you help me to solve this question? Please do not copy chatgpt! Thanks a lot! I need some help. Please write clear thanks! A company manufactures steel rods that are to be of length 20 meters. However, due to imperfections in the manufacturing process, the length of a rod is actually uniformly distributed between 18 meters and 22 meters. (a) What is the probability that a randomly selected rod will be longer than 20.5 meters? (b) A sample of 100 rods is taken with replacement, and the number of rods that are longer than 20.5 meters is recorded. What is the probability that this sample of 100 rods contains at least 25 rods that are longer than 20.5 meters? You may leave your answer as an unsimplified finite sum.

Hi, can you help me to solve this question? Please do not copy chatgpt! Thanks a lot! I need some help. Please write clear thanks! A company manufactures steel rods that are to be of length 20 meters. However, due to imperfections in the manufacturing process, the length of a rod is actually uniformly distributed between 18 meters and 22 meters. (a) What is the probability that a randomly selected rod will be longer than 20.5 meters? (b) A sample of 100 rods is taken with replacement, and the number of rods that are longer than 20.5 meters is recorded. What is the probability that this sample of 100 rods contains at least 25 rods that are longer than 20.5 meters? You may leave your answer as an unsimplified finite sum.

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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