Answer the following questions on complementary events.
a. (a) Define the complement of an event E in the context of a random experiment.
b. (b) Explain why the probability of any event E always satisfies 0≤P(E)≤1.
c. (c) Write the algebraic relationship between P(E) and the probability of its complement P(E′).
d. (d) If an event F is certain to occur, what is the value of P(F′)? Give reason for your answer.