Problem 4 A survey found that 25% of car owners had their cars serviced at a local shop rather than having it serviced at their respective dealers. If 18 car owners are randomly selected, find the probability that exactly 5 people have their cars serviced at a local shop.
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- A civil engineer takes a public ride going to his firm. The average time for his trip is 24 minutes, with a standard deviation of 3.80 minutes. If the office offers coffee from 8:50AM to 9:00AM, and he leaves his house at 8:35AM. what is the probability (in percent) that he misses coffee?3. The amount of time that a drive-through bank teller spends on a customer is a random variable with a mean 3.2 minutes and a standard deviation of 1.6 minutes. If a random sample of 64 customers is observed, find the probability that their mean time at the teller’s window is: a. at most 2.7 minutes; b. more than 3.5 minutes; c. at least 3.5 minutes but less than 3.4 minutes.Consider a case in which a detector records an occupancy of 0.200 for a 15 – minute analysis period. If the average length of a vehicle is 28 ft. and the detector is 3 ft. long, what is the density?
- Using sanity check, in the topic Rate of work, if A and B are working together for 8 hrs to complete a job, usually, what do you think must be the rate of work of A and B? Assume A and B work-rates are similar.Exponential distribution. The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 10 seconds. What is the probability of 30 or more seconds between vehicle arrivals?The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 14 seconds. A. What is the probability that the arrival time between vehicles is 12 seconds or less (to 4 decimals)? B. What is the probability that the arrival time between vehicles is 6 seconds or less (to 4 decimals)? C. What is the probability of 30 or more seconds between vehicle arrivals (to 4 decimals)?
- The time between arrivals of vehicles at particular intersection follows an exponential probability distribution with a mean of 15 seconds. What is the probability that the arrival time between vehicles is 9 seconds or less?At a specified point on a highway, vehicles are known to arrive according to a Poisson process. Vehicles are counted in 20-second intervals, and vehicle counts are taken in 120 of these time intervals. It is noted that no cars arrive in 18 of these 120 intervals. Approximate the number of these 120 intervals in which exactly three cars arrive. Wrong answers will be downvoted read question carefullyThe time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 12 seconds. A. Write down the p.d.f. B. What is the probability the time between vehicle arrivals is 12 seconds or less? C. What is the probability there will be 30 or more seconds between arriving vehicles?
- 2. If an activity whose normal duration is 15 days can be shortened to 10 days for an added cost of $2,000, what is the crash time and crash cost per day? Select one: a. 10 days; $400 b. 10 days; $2,000 c. 5 days; $10,000 d. 10 days; $20,000 e. 5 days; $400Q1. Develop statistical model to predict number of trips using regression analysis technique. Number of workers (X) Number of trips(Y) 2 6 4 8 7 10 7 11For which of the following sets of data should a stacked bar chart be used? The average age of male high school grads vs. the age of female graduates The total number of planes landing at O’Hare Airport categorized by type The number of white cars vs, the number of white trucks The average golfers vs the average age of tennis players