Question

The time required find an entry in a list is uniformly distributed from 0 to 60 minutes. What is the probability that I will find the entry I am searching for in between 30 and 32 minutes

Answer 1

The probability of finding the entry in the period between 30 and 32 minutes is 5%.

Explanation:

Given that the time required to find an entry is uniformly distributed between 0 and 60 minutes, it implies that 100% of the chances are in that period of time distributed equally. Therefore, since 100/60 is equal to 1.66, each minute has a 1.66% chance that the entry will be there.

Thus, since between minutes 30 and 32 there are 3 minutes in total (30, 31 and 32), to determine the probabilities of finding the entry in that period it is necessary to perform the following calculation:

1.66 x 3 = X

5 = X

Therefore, the probability of finding the entry in the period between 30 and 32 minutes is 5%.