4.35 Housing prices:  A housing survey was conducted to determine the price of a typical home in Topanga, CA. The mean price of a house was roughly $1.3 million with a standard deviation of $300,000. There were no houses listed below $600,000 but a few houses above $3 million.


(a) Is the distribution of housing prices in Topanga symmetric, right skewed, or left skewed? Hint: Sketch the distribution.

(b) Would you expect most houses in Topanga to cost more or less than $1.3 million?



(c) What is the probability that the mean of 60 randomly chosen houses in Topanga is more than $1.4 million?
(please round to four decimal places)