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) Find the probability that the thermometer reads between 1.50 and 2.25. Draw and label a sketch of a graph of the distribution described, showing all relevant
information. If you use a calculator, write out the command you enter into the calculator.
- IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
a) Find the probability that a randomly selected person has an IQ score above 102. Draw a sketch of and label a graph of the distribution that shows all the
information relevant to the problem. If working this by hand, show all work. If using calculator functions, write out the command you enter.
b) Find the probability that a randomly selected person has an IQ score below 98. Draw a sketch of and label a graph of the distribution that shows all the information
relevant to the problem. If working this by hand, show all work. If using calculator functions, write out the command you enter.
c) Find the IQ score that is the 30th percentile. Draw a sketch of and label a graph of the distribution that shows all the information relevant to the problem. If
working this by hand, show all work. If using calculator functions, write out the command you enter.
d) Find the IQ score of someone whose score is below 25% of the population. Draw a sketch of and label a graph of the distribution that shows all the information
relevant to the problem. If working this by hand, show all work. If using calculator functions, write out the command you enter.