SOLUTION: assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°c and a standard deviation of 1.00°c. a single thermometer is randoml
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Question 1210598: assume that the readings at freezing on a bundle 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 less than -0.903°c
Answer by CPhill(2264) (Show Source): You can put this solution on YOUR website!
To find the probability of obtaining a reading less than -0.903°C in a normal distribution with a mean of 0°C and a standard deviation of 1.00°C, we can use the Z-score formula:
Z = (X - μ) / σ
Z = (-0.903 - 0) / 1 = -0.903
Using a Z-table or calculator, the probability for Z = -0.903 is approximately 0.1029. Thus, the probability of obtaining a reading less than -0.903°C is about 10.29%.
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