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1. An extrusion die is used to produce aluminum rods. Specifications are given for the length and diameter of the rods. So rod length can be too short, too long, or OK and rod thickness can be too thin, too thick, or OK. Use a random sample of 1000 rods given below to compute probabilities Diameter Length Too Thin OK Too Thick Too Short 2 10 OK 38 905 4 Too Long 8. 25 3 (a) Calculate the marginal totals (row and column totals) for the table above. (b) the next rod is either too short or too thick? Show how to find this value using the Assuming the probabilities from this sample, what is the probability that formula for union. (c) bility that the length will be "ok"? Show how to find this value using the formula for conditional probability. If you are given that the diameter is "too thin" then what is the proba- (d) "too long". (That is, show that the formula for independence does not work) Show the quality of being "too thick" is dependent on quality of being

1. An extrusion die is used to produce aluminum rods. Specifications are given for the length and diameter of the rods. So rod length can be too short, too long, or OK and rod thickness can be too thin, too thick, or OK. Use a random sample of 1000 rods given below to compute probabilities Diameter Length Too Thin OK Too Thick Too Short 2 10 OK 38 905 4 Too Long 8. 25 3 (a) Calculate the marginal totals (row and column totals) for the table above. (b) the next rod is either too short or too thick? Show how to find this value using the Assuming the probabilities from this sample, what is the probability that formula for union. (c) bility that the length will be "ok"? Show how to find this value using the formula for conditional probability. If you are given that the diameter is "too thin" then what is the proba- (d) "too long". (That is, show that the formula for independence does not work) Show the quality of being "too thick" is dependent on quality of being

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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1. An extrusion die is used to produce aluminum rods. Specifications are given for the length and diameter of the rods. So rod length can be too short, too long, or OK and rod thickness can be too thin, too thick, or OK. Use a random sample of 1000 rods given below to compute probabilities Diameter Too Thin OK Too Thick Length Too Short OK Too Long 10 38 905 8 25 3 (a) Calculate the marginal totals (row and column totals) for the table above. (b) the next rod is either too short or too thick? Show how to find this value using the Assuming the probabilities from this sample, what is the probability that formula for union. (c) bility that the length will be "ok"? Show how to find this value using the formula for conditional probability. If you are given that the diameter is "too thin" then what is the proba- (d) "too long". (That is, show that the formula for independence does not work) Show the quality of being "too thick" is dependent on quality of being
Transcribed Image Text:1. An extrusion die is used to produce aluminum rods. Specifications are given for the length and diameter of the rods. So rod length can be too short, too long, or OK and rod thickness can be too thin, too thick, or OK. Use a random sample of 1000 rods given below to compute probabilities Diameter Too Thin OK Too Thick Length Too Short OK Too Long 10 38 905 8 25 3 (a) Calculate the marginal totals (row and column totals) for the table above. (b) the next rod is either too short or too thick? Show how to find this value using the Assuming the probabilities from this sample, what is the probability that formula for union. (c) bility that the length will be "ok"? Show how to find this value using the formula for conditional probability. If you are given that the diameter is "too thin" then what is the proba- (d) "too long". (That is, show that the formula for independence does not work) Show the quality of being "too thick" is dependent on quality of being
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