Discuss the following:
Q: Family incomes in two particular neighborhoods follow a normal distribution. For Neighborhood 1 the mean is $26,500, with a standard deviation of $15,000. For Neighborhood 2, the mean is $30,000 with a standard deviation of $18,000.
A) What proportion of families in Neighborhood 1 have incomes below the mean family income in Neighborhood 2?
B) What income level in Neighborhood 1 represents the top 10% for that neighborhood?
C) What income level for neighborhood 2 represents the lowest 5% of incomes for that neighborhoods?
D) For neighborhood 1, what percentage of families have incomes that fall between the mean incomes of Neighborhood 1 and neighborhood 2?