Calculus probability

Question

Assume that thermometer readings are normally distributed with a mean of 0 degrees C and a standard deviation of 1 degree C. A thermometer is randomly selected and tested. Find the probability that the thermometer reads between 1.7 and 2.15.

Answer 1

Assuming that the tested thermometer is tested at the base line temp of 0 degrees the probability of having a measurement between 1.7 and 2.15 coincidentally coincides with the area under the curve for the standard normal distribution (z table) with z values of 1.7 and 2.15 with a P-value of (taken from TI-8x series calculator)

nmcdf(1.7,2.15,0,1) = .02879