Question

One city has a population of 4000 people. It has been found that the probability of seeking a taxi (at a certain time of day and under normal conditions) is 4%. Find the number of taxis needed so that at most 1 in every 100 people will not be able find available taxi.

Answer 1

P(seeking a taxi) = 4%

4% people will be seeking a taxi

no. of people seeking taxi = 4% * 4000 = 160 people seeking taxi

at most 1 person not able to find taxi in 100 means atleast 99%(99 people in 100) people will be able to fnd taxi

no. of taxis required = 99% * (no. of people seeking taxi) = 99% * 160 = 158.4

atleast 158.4 taxis required but no. of taxis should be integer therefore minimum integer value greater than is 159

therefore minimum no. of taxis required is 159

P.S. (please upvote if you find the answer satisfactory)