How can I find the 60th percentile of an exponential distribution where a clerk spends on average four minutes with each customer? let X equal the amount of time that a clerk spends with each customer and that is known to have an exponential distribution.
How can I find the 60th percentile of an exponential distribution where a clerk spends on...
The time (in minutes) a postal clerk spends with his or her customer is known to have an exponential distribution with the average amount of time being 7 minutes. The lambda of this distribution is .1429 Correct The probability that the time is longer than 11 is P(x ≥ 11) = .2076 Correct The probability that the time is shorter than 3 is P(x ≤ 3) = .3486 Correct The probability that the time is between 4 and 8 is...
A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the probability that a customer's service time is less than 2 minutes?
A grocery clerk can serve 20 customers per hour on average and the service time follows an exponential distribution. What is the probability that a customer's service time is more than 4 minutes?
a. The Arctic Flyers minor league hockey team has one box office clerk. On average, each customer that comes to see a game can be sold a ticket at a rate of 8 per minute. For regular games, customers arrive at a rate of 5 per minute. Assume arrivals follow the Poisson distribution, and service times follow the exponential distribution What is the average number of customers waiting in line? What is the average time a customer spends in the...
Can someone please help me with number 7. Thank you
11:34 1 Part (c) Find the 60th percentile of the distribution of the average of 49 y bals. (Round your answer to two decimal places.) Additional Materials Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 147 minutes with a standard deviation of 12 minutes, Consider 49 of the races. Let i-the average of the 49 races Part (a)...
(1 point) After 8:00pm on any Thursday, the amount of time a person spends waiting in line to get into a well- known pub is a random variable represented by X. Suppose we can model the behavior of X with the Exponential probability distribution with a mean of waiting time of 45 minutes. (a) Provide the value of the standard deviation of this distribution. Enter your answer to two decimals. ox= 45 II minutes (b) Suppose you are in line...
5. The Exponential(A) distribution has density f(x) = for x<0' where λ > 0 (a) Show/of(x) dr-1. (b) Find F(x). Of course there is a separate answer for x 2 0 and x <0 (c Let X have an exponential density with parameter λ > 0 Prove the 'Inemoryless" property: P(X > t + s|X > s) = P(X > t) for t > 0 and s > 0. For example, the probability that the conversation lasts at least t...
leach My Notes Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 148 minutes with a standard deviation of 15 minutes. Consider 49 of the races. Let x = the average of the 49 races. a Part (a) Give the distribution of (Round your standard deviation to two decimal places.) Part (b) Find the probability that the runner will average between 146 and 149 minutes in these 49 marathons....
Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 148 minutes with a standard deviation of 16 minutes. Consider 49 of the races Let = the average of the 49 races. Part(a) Give the distribution of X (Round your standard deviation to two decimal places) X-N 148 (4 Part (b) Find the probability that the average of the sample will be between 145 and 149 minutes in these 49...
The exponential distribution has P.D.F. f(t, x):= le-At where >0, and can be a great model for how long one will wait "before the next event happens." Suppose that you're a bank clerk, and on average you wait (1/4) of a minute before someone comes to your window. Suppose, you've already waited 1 whole minute; what's the probability that you'll see someone in the next half a minute?