Question

I. In the USA, 86% of the inland cargo is transported by trucks and they are mostly 18- wheelers. One such fleet of trucks provides transport services from a Delaware port to Huntsville, AL. There are several causes of delay on this route. For example, while driving on 140, an 80-year old grandmother abruptly changed lane in front of a cargo truck and got crushed that delayed the truck by two hours. a. Based on the past travel time record, it is estimated that travel time is normally distributed with a mean of 18 hours and standard deviation of 1 hour and 45 minutes. . What is the travel time from Delaware port to Huntsville (in hours and minutes) if you desire a certainty factor of 92 percent? ii. A customer in Huntsville desires that his consignment arrives in Huntsville no later than 4:30 p.m. on February 2, what should be the starting time from the Delaware port It was determined later that the travel time is in fact uniformly distributed, that is, equally likely between 16 and 22 hours. What will be your answers to (i) and (ii) above? b. 2. A flight departs San Diego (California) airport at 10:50 pm on January 22 a. Its flying time to Frankfort, Germany is normally distributed with a mean of 16 hours and 30 minutes and standard deviation of 15 minutes. What would be the flying time and its arrival time in Frankfort if you want to be 90 percent certain? If the flight time is uniformly distributed between 16 and 17 hours, what will be your answer to (a) above? b.

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In the USA, 86% of the inland cargo is transported by trucks and they are mostly 18-wheelers. One such of trucks provides transport services from a Delaware port to Huntsville, Al. There are several causes to delay on this route. For example, while driving on I40, an 80-year old grandmother abruptly changed lane infront of a cargo truck and got crushed that delayed the truck by two hours.

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