a. The expected arrival time can be calculated by taking the average of the minimum and maximum possible arrival times. Since the arrival time is equally likely at any time during the next 4.4 minutes, the minimum possible arrival time is 0 minutes and the maximum possible arrival time is 4.4 minutes.
Expected arrival time = (0 + 4.4) / 2 = 2.2 minutes
b. The probability that an elevator arrives in less than 1.1 minutes can be calculated by dividing the desired time range (less than 1.1 minutes) by the total time range (4.4 minutes).
Probability = (1.1 / 4.4) = 0.25
c. The probability that the wait for an elevator is more than 1.1 minutes can be calculated by subtracting the probability of the elevator arriving in less than 1.1 minutes from 1.
Probability = 1 - 0.25 = 0.75
The arrival time of an elevator in a 12-story dormitory is equally likely at any time during the next 4.4 minutes.
a. Calculate the expected arrival time. (Round your answer to 2 decimal places.)
b. What is the probability that an elevator arrives in less than 1.1 minutes? (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
c. What is the probability that the wait for an elevator is more than 1.1 minutes? (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
1 answer
3 answers