Suppose a worker needs to process 200 items. The time to process each item is exponentially...
Suppose a worker needs to process 200 items. The time to process each item is exponentially distributed with a mean of 1 minutes, and the processing times are independent. Approximately, what is the probability that the worker finishes in less than 5 hours?
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Suppose a worker needs to process 200 items. The time to process
each item is exponentially...
Q7.The time it takes a worker on an assembly line to complete a task is exponentially...
Q7.The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 10 minutes. a. What is the probability that it will take a worker less than 8 minutes to complete the task? b.What is the probability that it will take a worker between 8 and 12 minutes to complete the task?
9. An item needs to go through 100 different independent processing until completion. Each process- ing...
9. An item needs to go through 100 different independent processing until completion. Each process- ing takes exponential with a mean of 3 minutes. Approximately, what is the probability that the item will be finished in 8 hours? (Hint: Use the central limit theorem.)
9) An item needs to go through 100 different independent processing until completion. Each process- ing...
9) An item needs to go through 100 different independent processing until completion. Each process- ing takes exponential with a mean of 3 minutes. Approximately, what is the probability that the item will be finished in 8 hours? (Hint: Use the central limit theorem.)
5. Suppose that the time (in hours) that Isabel spends on an untimed final exam exponential distribution with mean 1.25 hours, and the time that Javier spends follows an exponential distribution w...
5. Suppose that the time (in hours) that Isabel spends on an untimed final exam exponential distribution with mean 1.25 hours, and the time that Javier spends follows an exponential distribution with mean 1.75 hours. Assume independent of each other. (a) Determine the probability that Isabel finishes in less than 1 hour ollows an on the same exam that their times are (b) Determine the probability that Javier finishes in less than 1 hour.
5. Suppose that the time (in...
The time to process orders at the service counter of a pharmacy store are exponentially distributed...
The time to process orders at the service counter of a pharmacy store are exponentially distributed with mean 5 minutes. Suppose that 100 customers visit the counter in a day. Use CLT to estimate the following. (1) What is the probability that the total service time of the 100 customers does not exceed 10 hours? (2) What is the probability that at least half of the 100 customers need to wait more than 3.47 minutes? (Note: to simply the calculations,...
An item needs to go through 100 different independent processing until completion. Each processing takes exponential...
An item needs to go through 100 different independent processing until completion. Each processing takes exponential with a mean of 3 minutes. Approximately, what is the probability that the item will be finished in 8 hours? (Hint: Use the central limit theorem.)
Two turtles are racing. The length of time that turtle A takes is expo 2 exponentially...
Two turtles are racing. The length of time that turtle A takes is expo 2 exponentially distributed with mean 5 minutes. The length that turtle B take is also exponentially distributed but with mean 7 minutes. Assume tha their times are independent. (a) What is the probability that A wins? (b) What is the probability that the winner takes longer than 6 minutes (c) What is the expected time of the winner? (d) What is the probability of a tie?
BONUS The time it takes a worker on an assembly line to complete a task is...
BONUS The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 7.8 minutes. What is the probability that it will take a worker less than 5 minutes to complete the task? What is the probability that it will take a worker between 4 and 11 minutes to complete the task? What is the probability that it will take a worker greater than 7.5 minutes to complete the task? a....
Suppose that the time (in hours) required to repair a machine is an exponentially distributed random...
Suppose that the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter λ=0.8, i.e., mean = 1/lambda. What is (a) the probability that a repair takes less than 77 hours?
5. You observed that the time your friend Alice talks on a phone conversation is exponentially...
5. You observed that the time your friend Alice talks on a phone conversation is exponentially distributed with mean 5 minutes. You call her one morning and her line is busy. Assuming that she is in a phone conversation: (a) (8.5 pts) What is the probability that she would finish the conversation in (b) (3 pts) What is the expected additional conservation time before she (c) (6 pts) If the conversation time is uniformly distributed with mean 5 another 5...
Q7.The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 10 minutes. a. What is the probability that it will take a worker less than 8 minutes to complete the task? b.What is the probability that it will take a worker between 8 and 12 minutes to complete the task?
9. An item needs to go through 100 different independent processing until completion. Each process- ing takes exponential with a mean of 3 minutes. Approximately, what is the probability that the item will be finished in 8 hours? (Hint: Use the central limit theorem.)
9) An item needs to go through 100 different independent processing until completion. Each process- ing takes exponential with a mean of 3 minutes. Approximately, what is the probability that the item will be finished in 8 hours? (Hint: Use the central limit theorem.)
5. Suppose that the time (in hours) that Isabel spends on an untimed final exam exponential distribution with mean 1.25 hours, and the time that Javier spends follows an exponential distribution with mean 1.75 hours. Assume independent of each other. (a) Determine the probability that Isabel finishes in less than 1 hour ollows an on the same exam that their times are (b) Determine the probability that Javier finishes in less than 1 hour.
5. Suppose that the time (in...
BONUS The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 7.8 minutes. What is the probability that it will take a worker less than 5 minutes to complete the task? What is the probability that it will take a worker between 4 and 11 minutes to complete the task? What is the probability that it will take a worker greater than 7.5 minutes to complete the task? a....
5. You observed that the time your friend Alice talks on a phone conversation is exponentially distributed with mean 5 minutes. You call her one morning and her line is busy. Assuming that she is in a phone conversation: (a) (8.5 pts) What is the probability that she would finish the conversation in (b) (3 pts) What is the expected additional conservation time before she (c) (6 pts) If the conversation time is uniformly distributed with mean 5 another 5...
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