A factory produces nails, for which the length is normally distributed with the mean of 4mm and standard deviation of 0.3mm. Nails are measured accurately and any which are shorter than 3.6mm or longer than 4.2mm are rejected. i. Calculate the probability that the nails produced would be accepted. ii. Out of a batch of 1000 nails, how many would be rejected?

A factory produces nails, for which the length is normally distributed with the mean of 4mm and standard deviation of 0.3mm. Nails are measured accurately and any which are shorter than 3.6mm or longer than 4.2mm are rejected. i. Calculate the probability that the nails produced would be accepted. ii. Out of a batch of 1000 nails, how many would be rejected?

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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