Question

Assume that thermometer readings are normally distributed with a mean of 0degreesC and a standard deviation of 1.00 degrees C. A thermometer is randomly selected and tested. For the case​ below, draw a​ sketch, and find the probability of the reading.​ (The given values are in Celsius​ degrees.) Between 1.00 and 2.25

What is the probability of getting a reading between 1.00 and 2.25

Answer 1

This is a normal distribution question with

P(1.0 < x < 2.25)=?

This implies that

P(1.0 < x < 2.25) = P(1.0 < z < 2.25) = P(Z < 2.25) - P(Z < 1.0)

P(1.0 < x < 2.25) = 0.9877755273449553 - 0.8413447460685429

PS: you have to refer z score table to find the final probabilities.

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