a. What is the distribution of X? X N b. What is the distribution of I? I - N( c. For a single randomly selected steel rod, find the probability that the length is between 264.2-cm and 264.4-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 19PFA
icon
Related questions
Question
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of
264.1-cm and a standard deviation of 1-cm. For shipment, 11 steel rods are bundled together. Round all
answers to four decimal places if necessary.
a. What is the distribution of X? X N
b. What is the distribution of a? a - N(
c. For a single randomly selected steel rod, find the probability that the length is between 264.2-cm
and 264.4-cm.
d. For a bundled of 11 rods, find the probability that the average length is between 264.2-cm and
264.4-cm.
e. For part d), is the assumption of normal necessary? O YesO No
Transcribed Image Text:A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 264.1-cm and a standard deviation of 1-cm. For shipment, 11 steel rods are bundled together. Round all answers to four decimal places if necessary. a. What is the distribution of X? X N b. What is the distribution of a? a - N( c. For a single randomly selected steel rod, find the probability that the length is between 264.2-cm and 264.4-cm. d. For a bundled of 11 rods, find the probability that the average length is between 264.2-cm and 264.4-cm. e. For part d), is the assumption of normal necessary? O YesO No
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill