the length of a phone call is exponentially distributed with an average of 5 minutes, what...
the length of a phone call is exponentially distributed with an average of 5 minutes, what is the expected length given it is > 2 minutes? use conditional probabilities
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the length of a
phone call is exponentially distributed with an average of 5
minutes, what...
Exercise 2.3 The time between phone calls to a call center is exponentially distributed with mean...
Exercise 2.3 The time between phone calls to a call center is exponentially distributed with mean 60 seconds. (a) What is the probability that exactly 4 calls arrive in the next 2 minutes? (6) What is the probability that at least 2 calls arrive in the next 2 minutes? (c) What is the probability that no buses arrive in the next 2 minutes? (d) Given that a call has just arrived, what is the probability that the next call arrives...
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...
The average local cell phone call length was reported to be 2.27 minutes. A random sample...
The average local cell phone call length was reported to be 2.27 minutes. A random sample of 20 phone calls showed an average of 2.98 minutes in length with a standard deviation of 0.98 minute. At α = 0.05 can it be concluded that the average differs from the population average? Step 1: State hypotheses by filling in the symbol (=, <, >, or not equal) and the population mean: Ho: μ H1: μ Step 2: Find the critical value (from...
A call center has a mean waiting time of five minutes and is distributed exponentially. Find...
A call center has a mean waiting time of five minutes and is distributed exponentially. Find the probability that a call has to wait between three and six minutes.
Suppose that the length of long distance phone calls, measured in minutes, is known to have...
Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to $14 minutes. The lambda of this distribution is .0714 Correct The probability that the length of a phone call is longer than 18 is P(x ≥ 18) = .2766 Correct The probability that the length of a phone call is shorter than 11 is P(x ≤ 11) = .5440 Correct The probability...
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?
Suppose that a phone company reports that the average duration of a cell phone call is...
Suppose that a phone company reports that the average duration of a cell phone call is 1.7 minutes, with a standard deviation of 1.4 minutes. 1. Would it be reasonable to use a normal distribution to model the duration of cell phone calls? Explain, based primarily on the values reported above. 2. Suppose you want to examine a random sample of 60 cell phone calls. Do you think it would be reasonable to use the Central Limit Theorem to describe...
8. On Halloween, the waiting time between trick-or-treaters, T (in minutes) is exponentially distributed with PDF...
8. On Halloween, the waiting time between trick-or-treaters, T (in minutes) is exponentially distributed with PDF fr(t) = te-t/5 for t > 0. Given that you have just waited 4 minutes since the last request for treats, your expected wait until the next request in minutes) is:
To generate a phone bill, observe the duration of the call in integer minutes (rounding up)....
To generate a phone bill, observe the duration of the call in integer minutes (rounding up). Charge for m 1,2,3,.. minutes if the exact duration t is m-1< tS m. Let Bm denote the event that a call is billed for m minutes. The probability of each event Bm is Pl Bal-a(1-a)m-1 where -I-(0.69) 1/3 О.116. (a) Classify a call as long (L) if the call lasts more than three minutes, then PLL]691 (b) What is the probability that a...
1. Consider a time T of a call duration. If it rains (under the event T is exponentially distributed with the parameter...
1. Consider a time T of a call duration. If it rains (under the event T is exponentially distributed with the parameter À-1/6. If it does not rain (under the event F), T is exponentially distributed with the parameter λ 1/2 The percentage of raining time is 0.3 (a) Find the PDF of Tand the expected value ET]. (b) Find the PDF of T given that B [T 6] 2. Random variables X and Yhave the joint PDF otherwise (a)...
Exercise 2.3 The time between phone calls to a call center is exponentially distributed with mean 60 seconds. (a) What is the probability that exactly 4 calls arrive in the next 2 minutes? (6) What is the probability that at least 2 calls arrive in the next 2 minutes? (c) What is the probability that no buses arrive in the next 2 minutes? (d) Given that a call has just arrived, what is the probability that the next call arrives...
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...
8. On Halloween, the waiting time between trick-or-treaters, T (in minutes) is exponentially distributed with PDF fr(t) = te-t/5 for t > 0. Given that you have just waited 4 minutes since the last request for treats, your expected wait until the next request in minutes) is:
To generate a phone bill, observe the duration of the call in integer minutes (rounding up). Charge for m 1,2,3,.. minutes if the exact duration t is m-1< tS m. Let Bm denote the event that a call is billed for m minutes. The probability of each event Bm is Pl Bal-a(1-a)m-1 where -I-(0.69) 1/3 О.116. (a) Classify a call as long (L) if the call lasts more than three minutes, then PLL]691 (b) What is the probability that a...
1. Consider a time T of a call duration. If it rains (under the event T is exponentially distributed with the parameter À-1/6. If it does not rain (under the event F), T is exponentially distributed with the parameter λ 1/2 The percentage of raining time is 0.3 (a) Find the PDF of Tand the expected value ET]. (b) Find the PDF of T given that B [T 6] 2. Random variables X and Yhave the joint PDF otherwise (a)...
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