Assume that the thermometer readings are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees C. A thermometer is randomly selected and tested. The probability of getting a reading between -1.39 degrees C and 1.69 degrees C is ____

P(-1.39<=Z<=1.69) = 0.8722

You can play around with Z table stuff at

http://davidmlane.com/hyperstat/z_table.html

To find the probability of getting a reading between -1.39 degrees C and 1.69 degrees C, we can use the standard normal distribution table or a calculator that provides normal distribution probabilities.

Here's how you can do it using a standard normal distribution table:
1. Start by calculating the z-scores for the lower and upper limits of the range. The z-score is calculated using the formula: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.
For the lower limit of -1.39 degrees C: z1 = (-1.39 - 0) / 1.00 = -1.39
For the upper limit of 1.69 degrees C: z2 = (1.69 - 0) / 1.00 = 1.69

2. Locate the z-scores on the standard normal distribution table. The table will give you the cumulative probability up to each z-score.

3. Find the value corresponding to the lower limit z-score from the table. Let's call this value P1.

4. Find the value corresponding to the upper limit z-score from the table. Let's call this value P2.

5. Finally, calculate the probability of getting a reading between the two limits by subtracting P1 from P2: P = P2 - P1.

By following these steps, you should be able to find the probability of getting a reading between -1.39 degrees C and 1.69 degrees C.