The incomes of all families in a particular suburb can be represented by a continuous random variable. It is known that the median income for all families in this suburb is $55,000 and that 40% of all families in the suburb have incomes above $66,000.

a. For a randomly chosen family, what is the probability that its income will be between $55,000 and $66,000?

P(55,000 < X < 66,000) =

b. Given no further information, what can be said about the probability that a randomly chosen family has an income below $60,000?

Choose the correct answer below...

A. P(X < 60,000) = 0.4

B. P(X < 60,000) = 0.6

C. 0.5 < P(X < 60,000) < 0.6

D. 0.5 < P(X < 60,000) < 0.6667

E. P(X < 60,000) = 0.5

F. 0.6 < P(X < 60,000) < 0.6667

G. P(X < 60,000) < 0.5

H. P(X < 60,000) = 0.6667