The mean selling price of new homes in a city over a year was $115,000. The population standard deviation was $25,000. A random sample of 100 new home sales from this city was taken. a) What is the probability that the sample mean selling price was more than $110,000?b) What is the probability that the sample mean selling price was between $114,000 and $116,000?c) What is the probability that the mean selling price of a random sample of 100 new home sales lies within one standard deviation of the population mean?