I am struggling a little with this problem and need some advice if I am going in the right direction and specifically Task 4 which really didn't make sense. Here are the tasks I have attached a pic with the data from the question which was too long to type
Task 1: If the engineers designed the escalator to perform properly with a maximum total load of 29,700 pounds, what is the average weight per person allowed during rush hour?
29700 max weight / 192 max # of people = 154.69 avg weight/person at rush hour.
Task 2: What is the probability that the maximum load will be exceeded during rush hour?
154.69-150/28 = .1675 Z score = 56.65% chance of failure at rush hour
Task 3: Express your answer in task 2 as a fraction
1133 failures / 2000 trips
Task 4: Given that rush "hour" lasts about 90 min and that these conditions are like a turnover on the escalator of a new trip every single minute, how many turnovers are there during the rush period?
I feel like it should be 90 turnovers, but that seems way to simple @ 90min and 1 per min. Not very overly complicated statistic like.
Task 5: Would you be surprised for the escalator to stop working properly during the rush hour traffic? Why or why not?
No, I would not be surprised if the escalator were to stop working properly during rush hour traffic with the a 56.65% chance of the of the maximum load being exceed during this time. This gives it a greater than 50% chance of not performing properly.
Task 1: If the engineers designed the escalator to perform properly with a maximum total load of 29,700 pounds, what is the average weight per person allowed during rush hour?
29700 max weight / 192 max # of people = 154.69 avg weight/person at rush hour.
Task 2: What is the probability that the maximum load will be exceeded during rush hour?
154.69-150/28 = .1675 Z score = 56.65% chance of failure at rush hour
Task 3: Express your answer in task 2 as a fraction
1133 failures / 2000 trips
Task 4: Given that rush "hour" lasts about 90 min and that these conditions are like a turnover on the escalator of a new trip every single minute, how many turnovers are there during the rush period?
I feel like it should be 90 turnovers, but that seems way to simple @ 90min and 1 per min. Not very overly complicated statistic like.
Task 5: Would you be surprised for the escalator to stop working properly during the rush hour traffic? Why or why not?
No, I would not be surprised if the escalator were to stop working properly during rush hour traffic with the a 56.65% chance of the of the maximum load being exceed during this time. This gives it a greater than 50% chance of not performing properly.