The following information is available about the distribution of the price of single family homes in an area: Median = $200,000 Mean = $250,000 Standard deviation = $150,000 If possible answer the following questions, if not possible, give your reason.
a. Is the distribution symmetric?
b. The probability that price of a randomly selected single-family homes being less than $200,000?
c. The probability that average price of randomly selected 4 single-family homes being between $100,000 and 400,000?
d. The probability that average price of 100 single-family homes being between $220,000 and $280,000?