**Answer:**

C) 0.880

B) 0.075

**Step-by-step explanation:**

If the professor forgets to set the alarm

Probability = 0.1,

Wakes up in time probability = 0.25.

If the professor sets the alarm

Probability = 1 - 0.1 = 0.9

Wake up in time probability = 0.95.

A.)

The probability that professor Moore wakes up in time to make his first class tomorrow

Probability = ( Forgets to set alarm probability x Wakes up in time )+ ( Sets the alarm probability x Wakes up in time ) = ( 0.1 x 0.25 ) + ( 0.9 + 0.95 ) = 0.88

B.)

Late in the class

Set the Alarm Probability = 0.1

Wakes up late probability = 1 - 0.25 = 0.75

Professor Sets the alarm probability = Set the Alarm Probability x Wakes up late probability = 0.1 x 0.75 = 0.075