Homework Answers
In 1 hour, concentration is decreased to (1/4)th of what it was initially.
Let say concentration when you start is X. In one hour, it is decreased to (X / 4). In another half hour, it will decrease to 0.15625X. Thus, you will have 15.625% of concentration level you initially had.
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Your ability to concentrate on this exam is decaying exponentially. After 1 hour, centration is 1/4...
An average of 40 cars per hour (interarrival times are exponentially distributed) are tempted to use...
An average of 40 cars per hour (interarrival times are exponentially distributed) are tempted to use the drive-in window at the Hot Dog King restaurant. If a total of more than 4 cars are in line (including the car at the window) a car will not enter the line. It takes an average of 4 minutes (exponentially distributed) to serve a car. (a) What is the average number of cars waiting for the drive-in window (not including a car at...
4. Suppose you take a one hour car ride, and this is the graph of your...
4. Suppose you take a one hour car ride, and this is the graph of your velocity as a function of time during the trip. velocity (miles per hour) Po 10 50 60 20 30 40 time (minutes) (a) What is your velocity (in miles per hour) at the 50 minute mark of your trip? (b) What is the total distance (in miles) that you travel during the trip? (c) Did you travel further during the first 30 minutes or...
A researcher studies whether 15 minutes of meditation each day alters participants’ ability to concentrate. On a...
A researcher studies whether 15 minutes of meditation each day alters participants’ ability to concentrate. On a psychological test of concentration, μ = 17.3 for non-meditators. On the same test, the meditators obtained the scores given below. What test statistic would you calculate to test this hypothesis? Test the hypothesis at α = .05. 15 18 22 17 18 18 19 21 19 16 22 20 Test the hypothesis using the 5-step method. (14 points) Calculate the 95% confidence interval. (4 points) Calculate and estimate the effect size. (4 points) (This is psychology...
The time between arrivals of taxis is exponentially distributed with a mean of 10 minutes. a)...
The time between arrivals of taxis is exponentially distributed with a mean of 10 minutes. a) You are fourth in line looking for a taxi. What is the probability that exactly 3 taxis arrive within one hour? b) Suppose the other three parties just decided to take the subway and you are now the first in line for the next taxi. Determine the time t such that the probability you wait less than t minutes from now until the next...
1) You are told that a starting population of 1000 bacteria grows exponentially at a rate...
1) You are told that a starting population of 1000 bacteria grows exponentially at a rate of 30% per hour, what will the population of bacteria be 4 hours after the start of the experiment? answers to choose from: a) 2197 b) 2856 c) 3713 d) 4000 2) If you knew the same colony of 1000 bacteria had a carrying capacity of 10,000 and an initial growth rate of 30%, what would the population pf bacteria be after 10 hours...
Please answer using stochastic operations principles Cars arrive at a rate of 10 per hour in a single-server drive-in restaurant. Assume that the teller serves vehicles with a rate exponentially distr...
Please answer using stochastic
operations principles
Cars arrive at a rate of 10 per hour in a single-server drive-in restaurant. Assume that the teller serves vehicles with a rate exponentially distributed with a mean of 4 minutes per car (ie, a rate of 1 car every 4 minutes). Answer the following questions: (a) What is the probability that the teller is idle? (b) What is the average number of cars waiting in line for the teller? (A car that is...
Customers arrive at a suburban ticket outlet at the rate of 4 per hour on Monday...
Customers arrive at a suburban ticket outlet at the rate of 4 per hour on Monday mornings. This can be described by a Poisson distribution. Selling the tickets and providing general information takes an average of 12 minutes per customer, and varies exponentially. There is 1 ticket agent on duty on Mondays. Determine the System Utilization Question 12 options: .8 1.6 .4 .88 None of the Above Question 13 (1.5 points) Customers arrive at a suburban ticket outlet at the...
The time between calls to a plumbing supply business is exponentially distributed with a mean time...
The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 14 minutes. (a) What is the probability that there are no calls within a 30-minute interval? 10.1353 (Round your answer to 4 decimal places.) (b) What is the probability that at least one call arrives within a 10-minute interval? || 0.4866 (Round your answer to 4 decimal places.) (c) What is the probability that the first call arrives within 5 and...
Problem 5 Consider the call center model with 8 agents and ability to put at most 4 callers on ho...
Problem 5 Consider the call center model with 8 agents and ability to put at most 4 callers on hold. Calls arrive according to a Poisson process with rate 60 calls per hour. Call handling times are i.i.d. expo- nential random variables with mean 6 minutes. Any call that arrives when all agents are busy and 4 callers are on hold, is lost. What is the expected time when all agents are busy in an 8-hour shift? Assume none of...
(4) The time required to complete a final exam in a particular college course is normally...
(4) The time required to complete a final exam in a particular college course is normally distributed with a mean of 75 minutes and a standard deviation of 15 minutes. Answer the following questions: (a) (for a randomly selected student) What is the probability of completing the exam in 1 hour or less? (4) (b) What is the probability a randomly selected student will complete the exam in more than 60 minutes but less than 75 minutes? (4b) (c) Assume...
4. Suppose you take a one hour car ride, and this is the graph of your velocity as a function of time during the trip. velocity (miles per hour) Po 10 50 60 20 30 40 time (minutes) (a) What is your velocity (in miles per hour) at the 50 minute mark of your trip? (b) What is the total distance (in miles) that you travel during the trip? (c) Did you travel further during the first 30 minutes or...
Please answer using stochastic
operations principles
Cars arrive at a rate of 10 per hour in a single-server drive-in restaurant. Assume that the teller serves vehicles with a rate exponentially distributed with a mean of 4 minutes per car (ie, a rate of 1 car every 4 minutes). Answer the following questions: (a) What is the probability that the teller is idle? (b) What is the average number of cars waiting in line for the teller? (A car that is...
The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 14 minutes. (a) What is the probability that there are no calls within a 30-minute interval? 10.1353 (Round your answer to 4 decimal places.) (b) What is the probability that at least one call arrives within a 10-minute interval? || 0.4866 (Round your answer to 4 decimal places.) (c) What is the probability that the first call arrives within 5 and...
Problem 5 Consider the call center model with 8 agents and ability to put at most 4 callers on hold. Calls arrive according to a Poisson process with rate 60 calls per hour. Call handling times are i.i.d. expo- nential random variables with mean 6 minutes. Any call that arrives when all agents are busy and 4 callers are on hold, is lost. What is the expected time when all agents are busy in an 8-hour shift? Assume none of...
(4) The time required to complete a final exam in a particular college course is normally distributed with a mean of 75 minutes and a standard deviation of 15 minutes. Answer the following questions: (a) (for a randomly selected student) What is the probability of completing the exam in 1 hour or less? (4) (b) What is the probability a randomly selected student will complete the exam in more than 60 minutes but less than 75 minutes? (4b) (c) Assume...
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