The Traffic Police department is concerned with the increase in accidents on Sharah-e-Faisal.They are setting up a dedicated team to analyse the causes and propose a solution. Accidents can occur because of the sharp turns on road or unavailability of Pedistrian bridges. On the other hand, accidents can occur due to unsafe driving or human error. The observation was further breakdowned into 4 shifts to observe the impact of traffic flow, Morning (7:00am to 10:00am), Day (10:00am-3:00pm), Evening (3:00pm – 7:30pm) and Night (7:30pm – 7:00am). During the one month of observation, 150 minor and major accidents have occurred. The percentages of the accidents for the condition combinations are given in Table 1: Shift Unsafe Road Conditions Human Error Morning 8% 24% Day 6% 10% Evening 7% 25% Night 5% 15% Table 1 If an accident report is selected randomly from the 150 reports, (a) what is the probability that the accident occurred on the Evening shift? (b) what is the probability that the accident occurred due to human error? (c) what is the probability that the accident occurred due to unsafe road conditions? (d) what is the probability that the accident occurred on either the evening or the night shift?
ASAP!!
The Traffic Police department is concerned with the increase in accidents on Sharah-e-Faisal.They are setting up a dedicated team to analyse the causes and propose a solution. Accidents can occur because of the sharp turns on road or unavailability of Pedistrian bridges. On the other hand, accidents can occur due to unsafe driving or human error. The observation was further breakdowned into 4 shifts to observe the impact of traffic flow, Morning (7:00am to 10:00am), Day (10:00am-3:00pm), Evening (3:00pm – 7:30pm) and Night (7:30pm – 7:00am). During the one month of observation, 150 minor and major accidents have occurred. The percentages of the accidents for the condition combinations are given in Table 1:
|
Shift |
Unsafe Road Conditions |
Human Error |
|
Morning |
8% |
24% |
|
Day |
6% |
10% |
|
Evening |
7% |
25% |
|
Night |
5% |
15% |
Table 1
If an accident report is selected randomly from the 150 reports,
(a) what is the probability that the accident occurred on the Evening shift?
(b) what is the probability that the accident occurred due to human error?
(c) what is the probability that the accident occurred due to unsafe road conditions?
(d) what is the probability that the accident occurred on either the evening or the night shift?
Step by step
Solved in 4 steps
