Mr Joe has a mechanical clock at home which he winds up prec

Mr. Joe has a mechanical clock at home which he winds up precisely at midnight each night. The clock is supposed to run for 24 hours once it is fully wound. However, since the springs in the clock are somewhat old and slippery, the clock randomly stops at some point within the next 24 hours. It is equally likely to stop at any point in the 24 hour period. Assume that the clock keeps the correct time otherwise. You are
interested in the time at which the clock stops (in a 24 hour

Solution

a. Outccome Space = [0,24]

b. p = x/24

where, x is time after the clock stops. p is the probabilty of the clock to stop at x time.

c. ~0

d. 1

e. 6/24 = 0.25

f. 4/24 = 0.167