A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of
0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the
probability of obtaining a reading between -2.307°C and -0.388°C.
P( – 2.307 < Z < - 0.388)
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Transcribed Image Text:Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -2.307°C and -0.388°C. P( – 2.307 < Z < - 0.388)
Expert Solution
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Step 1

Let Z be a random variable from standard normal distribution with mean = 0 °C and standard deviation = 1 °C 

Then, 

We will find the probability P(-2.307<Z<-0.388)=? 

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