Set his alarm with a probability of 0.10. If he sets the alarm, it will wake him on time to make his first class with a probability of 0.95. If he forgets to set the alarm, he wakes up in time for his first class with a probability of 0.25.

A.) what is the probability that professor Moore wakes up in time to make his first class tomorrow? A) 0.250 B) 0.855 C)0.880 D)0.950 B.) Professor Moore was late to his first class.

What is the probability that professor Moore set his alarm given this information? A)0.045 B)0.075 C)0.375 D)0.625

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

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