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A particular professor never dismisses class early. Let x denote the amount of time past the...
3. Let th e random variable Ti denote the time you must wait to place your order in a fast-food restaurant, let Tz denote the time that it takes to place your order after you reach the counter, le...
3. Let th e random variable Ti denote the time you must wait to place your order in a fast-food restaurant, let Tz denote the time that it takes to place your order after you reach the counter, let s denote the time that it takes to receive vour food after you've placed your order, and let T enote the time that it takes to east vour food after you've received it. Assume that all of these random variables are...
2. (20 points) The professor of an IOE class may end the lecture early, on time,...
2. (20 points) The professor of an IOE class may end the lecture early, on time, or late on any given day. Students have noticed that they can forecast the probability of ending the class on time based on the ending time of the previous lecture. Experience shows that after ending a lecture early, the Professor tries to make up the time by runing late the next class 7 times out of 10, the rest of the time she follows...
[6] 3. Let z be the amount of time (in minutes) that a particular San Francisco...
[6] 3. Let z be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the density curve is as pictured Density 0.05 20 Minutes (a) What is the probability that is less than 5 minutes? (b) What is the probability that is between 10 and 12 minutes? 4/9 (c) Find the value c for which P(x <c) -0.9.
1. A college professor never finishes his lectures before the end of the hour but always...
1. A college professor never finishes his lectures before the end of the hour but always finishes his lectures within 5 minutes after the hour. Let X = the amount of over-time the professor lectures for, with pdf (probability density function) kx2 0 < x < 5 otherwise a. Find the value of k and draw the corresponding density curve between 0 and 5. (Remember that the total area under the graph of f(x) is 1.) b. Which of the...
1) A professor knows that in the past, the average amount of time spent studying the...
1) A professor knows that in the past, the average amount of time spent studying the night before the first exam was 140 minutes with a normal distribution and a standard deviation of 75.1. The professor finds that the average amount of time spent studying the night before the first exam for the current class of 40 students is 165 minutes. a) Please identify the following values from the above study description. The population mean (µ) equals ________________. The population...
A college professor never finishes his lecture before the end of the hour and always finishes...
A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after the hour. Let x- the time that elapses between the end of the hour and the end of the lecture and suppose the pdf of X is as follows. OSX2 FOX otherwise (a) Find the value of k. (Enter your answer to three decimal places.) 0.375 Draw the corresponding density curve. (Hint: Total area under the graph of...
Suppose a professor never finishes his lecture before the end of the hour but always finishes...
Suppose a professor never finishes his lecture before the end of the hour but always finishes within 4 minutes after the end of the hour. Let X - (elapsed time between end of hour and end of lecture) have the following probability density function: f(x) = kx for (0 SXS 4) with f(x) = 0 otherwise. a.) Determine the value of k. (Give decimal answer to three places past decimal.) Submit Answer Tries 0/2 b.) What is the probability the...
Let T denote the time in minutes for a customer service representative to respond to 10...
Let T denote the time in minutes for a customer service representative to respond to 10 telephone inquiries. T is uniformly distributed on the interval with endpoints 8 minutes and 12 minutes. Let R denote the average rate, in customers per minute, at which the representative responds to inquiries. 4. Which of the following is the density function of the random variable R on the interval 10 10 12 (B) 3-5 (c) 3r SIn(r) D)7 CE) 2r 10
Your friend Kate is never on time and is regularly anywhere from 3 to 21 minutes...
Your friend Kate is never on time and is regularly anywhere from 3 to 21 minutes late. Let X represent the length of time in minutes that Kate is late and assume it has a uniform distribution.(Note: Labelled diagrams and proper notation are required for all parts.) a) Draw the probability density of X. b) Find the probability that Kate will be no more than 10 minutes late. c) Find the probability that Kate will be between 15 and 20...
3. Let X denote the temperature (°C) and let Y denote the time in minutes that...
3. Let X denote the temperature (°C) and let Y denote the time in minutes that it takes for the diesel engine on an automobile to get ready to start. Assume that the joint density for (X,Y) is given by fxy(x, y) = c(4x + 2y + 1),0 < x < 40,0 < y = 2 (a) Find the value of c that makes this joint density legitimate. (b) Find the probability that on a randomly selected day the air...
3. Let th e random variable Ti denote the time you must wait to place your order in a fast-food restaurant, let Tz denote the time that it takes to place your order after you reach the counter, let s denote the time that it takes to receive vour food after you've placed your order, and let T enote the time that it takes to east vour food after you've received it. Assume that all of these random variables are...
2. (20 points) The professor of an IOE class may end the lecture early, on time, or late on any given day. Students have noticed that they can forecast the probability of ending the class on time based on the ending time of the previous lecture. Experience shows that after ending a lecture early, the Professor tries to make up the time by runing late the next class 7 times out of 10, the rest of the time she follows...
[6] 3. Let z be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the density curve is as pictured Density 0.05 20 Minutes (a) What is the probability that is less than 5 minutes? (b) What is the probability that is between 10 and 12 minutes? 4/9 (c) Find the value c for which P(x <c) -0.9.
1. A college professor never finishes his lectures before the end of the hour but always finishes his lectures within 5 minutes after the hour. Let X = the amount of over-time the professor lectures for, with pdf (probability density function) kx2 0 < x < 5 otherwise a. Find the value of k and draw the corresponding density curve between 0 and 5. (Remember that the total area under the graph of f(x) is 1.) b. Which of the...
A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after the hour. Let x- the time that elapses between the end of the hour and the end of the lecture and suppose the pdf of X is as follows. OSX2 FOX otherwise (a) Find the value of k. (Enter your answer to three decimal places.) 0.375 Draw the corresponding density curve. (Hint: Total area under the graph of...
Suppose a professor never finishes his lecture before the end of the hour but always finishes within 4 minutes after the end of the hour. Let X - (elapsed time between end of hour and end of lecture) have the following probability density function: f(x) = kx for (0 SXS 4) with f(x) = 0 otherwise. a.) Determine the value of k. (Give decimal answer to three places past decimal.) Submit Answer Tries 0/2 b.) What is the probability the...
Let T denote the time in minutes for a customer service representative to respond to 10 telephone inquiries. T is uniformly distributed on the interval with endpoints 8 minutes and 12 minutes. Let R denote the average rate, in customers per minute, at which the representative responds to inquiries. 4. Which of the following is the density function of the random variable R on the interval 10 10 12 (B) 3-5 (c) 3r SIn(r) D)7 CE) 2r 10
3. Let X denote the temperature (°C) and let Y denote the time in minutes that it takes for the diesel engine on an automobile to get ready to start. Assume that the joint density for (X,Y) is given by fxy(x, y) = c(4x + 2y + 1),0 < x < 40,0 < y = 2 (a) Find the value of c that makes this joint density legitimate. (b) Find the probability that on a randomly selected day the air...
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