6. Mike and Julie realize that the mean price of houses in Denver area is $586,000 with a standard deviation of 150,000. For each following question, include the normal curve label with the x-score, shaded the appropriate region, P() notation (if applicable), the calculator menu, inputs, and the probability.

(a) Mike and Julie want to buy a house whose price is within 1 standard deviation. What is the real house price (in $) and the probability that the house price is within that range?