IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.

a) Draw a sketch of and label a graph that shows all the information relevant to the

problem.

b) Find the IQ score of someone who scores below exactly 28% of the population.

First draw and label an approximate sketch of the distribution. If working this by

hand, show all work. If using calculator functions, write out the command you

enter. Round to two decimal places.

2. Assume that thermometer readings are normally distributed with a mean of 0o C and a

standard deviation of 1.00o C. A thermometer is randomly selected and tested.

a) Draw and label a sketch of a graph showing all relevant information.

b) Find the probability that the thermometer reads between 1.70 and 2.15. First

draw and label an approximate sketch of the distribution. If you use a calculator,

write out the command you enter into the calculator. Round to four decimal

places.