Math Problem Solver

Computer programs are classified by the length of

the source code and by the execution time. Pro-

grams with more than 150 lines in the source code

are big (B). Programs with ≤ 150 lines are little

(L). Fast programs (F) run in less than 0.1 sec-

onds. Slow programs (W) require at least 0.1 sec-

onds. Monitor a program executed by a computer.

Observe the length of the source code and the run

time. The probability model for this experiment

contains the following information: P[L F] = 0.5,

P[B F] = 0.2, and P[BW] = 0.2. What is the

sample space of the experiment? Calculate the fol-

lowing probabilities:

(a) P[W]

(b) P[B]

(c) P[W ∪ B]