A machine produces small rods and large rods. The diameters of small rods are normally distributed withmean 2 cm and standard deviation 0.12 cm. The diameters of large rods are normally distributed with mean2.2 cm and standard deviation 0.15 cm.(i) Find the probability that a randomly chosen small rod has diameter greater than 2.15 cm.(ii) A box contains one small rod and one large rod. Find the probability that at least one of the rods hasdiameter greater than 2.15 cm.

Here given machine produce two types of rod with small and large diameter For large Diameter μ=2.2…

Answered: (i) Find the probability that a…

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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(i) Find the probability that a randomly chosen small rod has diameter greater than 2.15 cm. (ii) A box contains one small rod and one large rod. Find the probability that at least one of the rods has diameter greater than 2.15 cm.