1. Assume that thermometer readings are normally distributed with a mean of 0 C and a standard deviation of 1.5 C. A thermometer is randomly selected and tested.

a) Draw and label a graph showing all relevant information, including the information from (b) after it is done. Show all relevant values on the x-axis and areas of all relevant shaded regions.

b) Find the probability that the thermometer reads between 1.5 and 2.25. If you use a calculator, write out EXACTLY what you enter into the calculator as well as the answer. Add these values to the graph above and shade the region in question