A quarter-circle thin plate sheet is produced as a part of a production line. The radius R of the plate is a normal random variable with a μ and o equal to 4.2 mm and 0.04 mm respectively. a. What is the expected value of a sheet's perimeter? b. What is the variance of a sheet's perimeter? c. A number of bearings is to be applied on the sheet's

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 quarter-circle thin plate sheet is produced as a part of a
production line. The radius R of the plate is a normal random
variable with a uand o equal to 4.2 mm and 0.04 mm
respectively.
a. What is the expected value of a sheet's perimeter?
b. What is the variance of a sheet's perimeter?
c. A number of bearings is to be applied on the sheet's
perimeter, approximated by 2eR . What is the probability
that the number of bearings is less than 128 pieces?
Transcribed Image Text:A quarter-circle thin plate sheet is produced as a part of a production line. The radius R of the plate is a normal random variable with a uand o equal to 4.2 mm and 0.04 mm respectively. a. What is the expected value of a sheet's perimeter? b. What is the variance of a sheet's perimeter? c. A number of bearings is to be applied on the sheet's perimeter, approximated by 2eR . What is the probability that the number of bearings is less than 128 pieces?
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