2. The median of an income distribution is $30,000. The meanincome is $35,000 and the standard deviation is $25,000.For each part, if possible compute the quantity,if not possible give your reason.
a) Is the distribution symmetric? Why or why not?
b) The probability that a randomly selected income being lessthan $35,000
c) The probability that a randomly selected income being lessthan $30,000
d) The probability that the average of 4 randomly selectedincomes being between $30,000 and $40,000
e) The probability that the average of 100 randomly selectedincomes being between $30,000 and $40,000.
