(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.
(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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Question
![A machine produces small rods and large rods. The diameters of small rods are normally distributed with
mean 2 cm and standard deviation 0.12 cm. The diameters of large rods are normally distributed with mean
2.2 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 has
diameter greater than 2.15 cm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f386d33-7cd3-4164-a78c-03baed44d0b7%2Ff062d760-efd1-461e-ae68-2d6ba2c1246d%2Fppam0p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A machine produces small rods and large rods. The diameters of small rods are normally distributed with
mean 2 cm and standard deviation 0.12 cm. The diameters of large rods are normally distributed with mean
2.2 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 has
diameter greater than 2.15 cm.
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