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 -2.95°C and 0.11°C.

Give your answer to 4 decimal places.

Answer 1

Solution:

We are given:

We are required to find:

Now using the z-score formula. we have:

Now using the standard normal table, we have:

Therefore, the probability of obtaining a reading between -2.95 and 0.11 is 0.5422