The orders for CDs (in hundreds of thousands of units) received daily by a factory that produces compact discs are represented by a random variable X with distribution function

(i) Find the value of the constant ???? above, assuming that the number of CDs ordered daily is less than 100 000.
(ii) Find the probability that, during a particular day, the number of CDs ordered

(a) is at least 25 000,

(b) is at most 70 000,

(c) is larger than 15 000, but smaller than 45 000,

(d) exceeds 50 000,

(e) is exactly 50 000,

(f) is exactly 80 000.

Transcribed Image Text:

F(t) = 0, at, -