(a) What is the probability that one car chosen at random will have less than 70.5 tons Un co answer to four decimal places.) 2375 (b) What is the probability that 29 cars chosen at random will have a mean load weight x of less than 70.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 70.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Yes No Suppose the weight of coal in 29 cars selected at random had an average x of less than 70.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability at this deviation is random is very small. Yes, the probability that this deviation is random is very large. No, the probability that this deviation is random is very small. No, the probability that this deviation is random is very large.
(a) What is the probability that one car chosen at random will have less than 70.5 tons Un co answer to four decimal places.) 2375 (b) What is the probability that 29 cars chosen at random will have a mean load weight x of less than 70.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 70.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Yes No Suppose the weight of coal in 29 cars selected at random had an average x of less than 70.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability at this deviation is random is very small. Yes, the probability that this deviation is random is very large. No, the probability that this deviation is random is very small. No, the probability that this deviation is random is very large.
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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Transcribed Image Text:Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic
hopper car loader is set to put 71 tons of coal into each car. The actual weights of coal loaded into each car are normally
distributed, with mean u = 71 tons and standard deviation = 0.7 ton.
USE SALT
(a) What is the probability that one car chosen at random will have less than 70.5 tons of coal? (Round your
answer to four decimal places.)
2375
(b) What is the probability that 29 cars chosen at random will have a mean load weight x of less than 70.5 tons of
coal? (Round your answer to four decimal places.)
(c) Suppose the weight of coal in one car was less than 70.5 tons. Would that fact make you suspect that the
loader had slipped out of adjustment?
Yes
Not
Suppose the weight of coal in 29 cars selected at random had an average x of less than 70.5 tons. Would that fact
make you suspect that the loader had slipped out of adjustment? Why?
Yes, the probability that this deviation is random is very small.
Yes, the probability that this deviation is random is very large.
No, the probability that this deviation is random is very small.
No, the probability that this deviation is random is very large.
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