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Maths CA A sample of 364 items is taken from a production line and weighed. The sample mean and standard deviation are found to be 92.8 and 18.85 respectively. Calculate the (exact) z-scores (don't round them): a) for a weight of 58.6 b) for a weight of 109.3 Calculate the following probabilities: c) P(Z < 1.67) f) P(Z < 0.89) d) P(Z > -1.75) al PIZ <-0.61)

Maths CA A sample of 364 items is taken from a production line and weighed. The sample mean and standard deviation are found to be 92.8 and 18.85 respectively. Calculate the (exact) z-scores (don't round them): a) for a weight of 58.6 b) for a weight of 109.3 Calculate the following probabilities: c) P(Z < 1.67) f) P(Z < 0.89) d) P(Z > -1.75) al PIZ <-0.61)

A First Course in Probability (10th Edition)
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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10:56 ul 5G 1 of 1 A sample of 364 items is taken from a production line and weighed. The sample mean and standard deviation are found to be 92.8 and 18.85 respectively. Calculate the (exact) z-scores (don't round them): a) for a weight of 58.6 b) for a weight of 109.3 ? Calculate the following probabilities: c) P(Z < 1.67) f) P(Z < 0.89) d) P(Z > -1.75) ? g) P(Z < -0.61) ? Show Detailed Answer e) P(Z > 0.79) Note: The question here just shows "weights" for some "item" (whatever it is) .. but the same or similar ideas/methods would apply to any normal distribution question. See here for more. Attachment_1629157842.jpeg 5.5 MB
Transcribed Image Text:10:56 ul 5G 1 of 1 A sample of 364 items is taken from a production line and weighed. The sample mean and standard deviation are found to be 92.8 and 18.85 respectively. Calculate the (exact) z-scores (don't round them): a) for a weight of 58.6 b) for a weight of 109.3 ? Calculate the following probabilities: c) P(Z < 1.67) f) P(Z < 0.89) d) P(Z > -1.75) ? g) P(Z < -0.61) ? Show Detailed Answer e) P(Z > 0.79) Note: The question here just shows "weights" for some "item" (whatever it is) .. but the same or similar ideas/methods would apply to any normal distribution question. See here for more. Attachment_1629157842.jpeg 5.5 MB
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