Suppose that the check-ins (in mins) to a hotel room follow an exponential
distribution
Suppose that the check-ins (in mins) to a hotel room follow an exponential distribution
5. You are given that X1 and X2 follow an exponential distribution with mean 10 and 20, respectively. Both Tommy and Tony want to create a new distribution using X1 and X2 to model the waiting time (in mins), X, at a doctor's office. (i) Based on Tommy's Judgement: 80% of the chance, the waiting time follows a distribution as X1 and 20% of the chance, it follows the same distribution as X. (ii) Tony would like to use a...
a hotel, time to process a client's request follows an exponential distribution with a mean of 2.5 minutes a. Find the probability that a given request takes more than 5 minutes to process. b. Find the probability that a given request takes less than 30 seconds to process. c. Find the probability that a given request takes between I and 2.5 minutes to process.
4. Suppose that X and Y are independent and follow an exponential distri- bution with parameter A. Show that the random variable Z min X,Y also follows an exponential distribution, with parameter 2λ. (hint: we have min(X, Y\ 2 z if and only if X 2 z and Y2 2)
Suppose you want to estimate the average cost of a hotel room in New Orleans. You randomly select a sample of 30 hotel rooms in New Orleans and find the average cost is $88.43. The standard deviation of the population is $5.72. a) Find a 90% confidence interval to estimate the average cost of all hotel rooms in New Orleans.
Suppose we wish to generate a sample from the exponential (β) distribution, and only have access to a computer which generates numbers from the skew logistic distribution. It turns out that if X~SkewLogistic (β), then log(1+exp(-X)) is exponential (β). Show that this is true and check by simulation that this transformation is correct.
What is the difference in average daily hotel room rates between Minneapolis and New Orleans? Suppose we want to estimate this difference by taking hotel rate samples from each city and using a 98% confidence level. The data for such a study follow. Use these data to produce a point estimate for the mean difference in the hotel rates for the two cities. Assume the population variances are approximately equal and hotel rates in any given city are normally distributed....
Question 2:(15 pts In a hotel, time to process a client's request follows an exponential distribution with a mean of 2.5 minutes. a. Find the probability that a given request takes more than 5 minutes to process. b. Find the probability that a given request takes less than 30 seconds to process. e. Find the probability that a given request takes between 1 and 2.5 minutes to process.
Section 5: Distribution Channel Management Jasmine is the RM at the Genie Hotel, a 300-room franchised hotel. She is evaluating alternative options regarding the allocation of 100 unsold guest rooms for the third weekend of next month. Her group room sales department believes (but is not positive) that it can sell 30 group rooms for that date at a rate of $185 per room . The FOM believes that if the rooms are advertised on the franchisor's operated property website,...
Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 1.5 patients per hour. What is the probability that a randomly chosen arrival to be between 10 and 15 minutes?
The lifetimes of switches of a certain brand follow an exponential distribution with parameter 0. Two switches are randomly chosen (assume independence). The first is used until it fails, then the second one is used until it fails. Find the distribution of the sum of the lifetimes using the CDF method.