1.The amount of bread (in 100s of pounds)x that a certain bakery is able to sell in a day has the following probability distribution.

f(x) = Ax,0 x < 5

=A (10 - x), 5 x < 10

=0, otherwise.

Find the value of A such that f(x) is a pdf.

What is the probability that the number of pounds of bread that will be sold tomorrow is

i) more than 500 pounds

ii) less than 500 pounds

iii) between 250 and 750 pounds?

Denoting by A, B, C the events that pounds of bread sold are as in i), ii) and iii) respectively, find P (A|B) and P (A|C).