The time until the next call to a tech support hotline is an exponential random variable with a rate parameter of 4 calls per hour.
a) What is the expected value of the time until the next call?
b)What is the probability of exactly 3 calls during a one hour period?
The time until the next call to a tech support hotline is an exponential random variable...
James gets headaches. The time between one headache and the next is an exponential random variable. He has noticed that, after having a headache, there is a 50% chance of having another headache within the next 4 days. James has not had a headache in 5 days. What is the probability that he will go for at least 5 more days before the next headache?
A shop has an average of five customers per hour 5. A shop has an average of five customers per hour (a) Assume that the time T between any two customers' arrivals is an exponential random variable. (b) Assume that the number of customers who arrive during a given time period is Poisson. What (c) Let Y, be exponential random variables modeling the time between the ith and i+1st c What is the probability that no customer arrives in the...
Assume that you run a call center that receives an average of 3 calls per minute with a Poisson distribution. Use this information to answer questions 1 to 4. What is the probability that the call center receives exactly 2 calls in the next minute? Use the formula and show your work. What is the probability that the call center receives exactly 4 calls in the next minute? What is the probability that the call center receives exactly one call...
Question 9 (1 point) Suppose the time between calls to a public health hotline is uniformly distributed between 0 and 5 seconds. What is the probability that, given a randomly selected call, the time till the next call is between 1 and 3 seconds? O 0.2 O 0.3 0.4 O 0.5 Page 9 of
The time until the first arrival into a bank after it opens is an exponential random variable with standard deviation equal to 2 minutes. What is the probability that the time to the first arrival is equal to 1 minute? If your answer is non-integer, answer to four decimal places using conventional rounding methods.
1) The number of calls received at a certain information desk has a Poisson Distribution with an average of 6 calls per hour. (15 points) (a) Find the probability that there is at exactly one call during a 15 minute period. (You cannot use tables here - show all work) (b) Find the probability that at least 6 calls are received during a 30 minute period. (you may use tables here) ******************************** 2) Note that for the above problem, the...
The number of phone calls arriving at a switchboard can be represented by a Poisson random variable. The average number of phone calls per hour is 1.7. (a) Find the probability of getting a total of at least 3 phone calls in the next hour. (b) Find the probability of getting a total of at least 3 phone calls in the next two hours. (c) Find the probability that it is more than 30 minutes until the next call arrives....
PROBLEM 18.1 (pg 132, #86) People randomly arrive for treatment at an emergency room at a rate of 3.8 per hour. Let Y be the amount of time (in hours) until the next patient arrives in the emergency room. a. The random variable Y has an exponential distribution with parameter λ b. Find the probability no patients arrive over the next 2 hours or P(Y> 2). c. Find the median of Y d. What is the expected elapsed time until...
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 5 minutes. A) What is the probability that more than three customers arrive in 10 minutes? B) What is the probability that the time until the 6th customer arrives is less than 5 minutes?
During the period of time that a local university takes phone-in registrations, calls come in at the rate of one every two minutes. a. What is the expected number of calls in one hour? per hour b. What is the probability of three calls in five minutes (to 4 decimals)? c. What is the probability of no calls in a five-minute period (to 4 decimals)?