Question

professor moore forgets to 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. professor moore was late to his first class. what is the probability that professor moore set his alarm given this information?

Answer 1

Answer: -The probability of setting his alarm is 1-0.1=0.9

-The probability of being in time is therefore calculated as:

0.9 x 0.95 + 0.1 x 0.25

= 0.88

Hence, the probability that the professor shows up in time is 0.88

Explanation: