Probability questions. (a) Online orders for golf bags arrive to Par Inc. according to a Poisson...
Probability questions.
(a) Online orders for golf bags arrive to Par Inc. according to a Poisson process with rate λ=15 bags per hour. Each order contributes $90 of profit. What is the probability that within the next thirty minutes Par Inc. will realize at least $720 of profit contribution due to orders of deluxe golf bags?
(b) Maxwell needs to arrive to work by 9:00am every morning. In the past year he has observed that his driving time from home to work is normally distributed with μ=30 minutes and σ= 5 minutes. According to Maxwell’s data, what is the latest he can leave for work while ensuring that he is late only 2% of the time?
Homework Answers
Add Answer to:
Probability questions.
(a) Online orders for golf bags arrive to Par Inc. according to
a Poisson...
Parishioners arrive at church on Sunday morning according to a Poisson process at rate 2/minute starting...
Parishioners arrive at church on Sunday morning according to a Poisson process at rate 2/minute starting at 9:00am until 11:00am. Each parishioner wears a hat with probability 1/3, independent of other parishioners, and brings an umbrella with probability 1/4, independent of whether she wears a hat and independent of other parishioners. The cloakroom has umbrella stands and baskets for hats. The sermon begins at 11:00am. Once the sermon begins, each parishioner falls asleep after an exponentially distributed amount of time...
Packets arrive according to a Poisson process with rate λ. For each arriving packet, with probability...
Packets arrive according to a Poisson process with rate λ. For each arriving packet, with probability p the packet is “flagged”. Assume that each packet is flagged independently. Suppose that you start observing the packet arrival process at time t. Let Y denote the length of time until you see TWO flagged packets. 1.Derive the distribution of Y . 2.Find the mean of Y .
The emergency room at Hospital Systems, Inc (HIS) serves patients who arrive according to a Poisson...
The emergency room at Hospital Systems, Inc (HIS) serves patients who arrive according to a Poisson distribution at the rate of 9 per hour. Treatment takes an average of 6 minutes and the treatment times can be considered to follow an exponential distribution. What is the (a) minimum number of doctors required so that at least 70% of the arriving patients can receive treatment immediately? (b) minimum number of doctors required so that the average time a patient waits for...
Patients arrive at Max hospital for X-ray according to a Poisson process. There is an X-ray...
Patients arrive at Max hospital for X-ray according to a Poisson process. There is an X-ray machine and arriving patients form a single line that feeds the X-ray machine in a first-come-first-served order. Past data show that the average wait for a patient is 30 minutes. The service time in the process takes, on an average, 10 minutes, exponentially distributed. 1- Average number of patients in the system Group of answer choices a-4 b-3 c-2 d-4/3 2-Average number of patients...
Customers arrive at a service window according to Poisson process with an average of 0.2 per minute. What is probability that the time between two successive arrivals is less than 6 minutes? (Round your answer to four decimal places)
Customers arrive at a service window according to Poisson process with an average of 0.2 per minute. What is probability that the time between two successive arrivals is less than 6 minutes?
Patients arrive at Max hospital for X-ray according to a Poisson process. There is an X-ray...
Patients arrive at Max hospital for X-ray according to a Poisson process. There is an X-ray machine and arriving patients form a single line that feeds the X-ray machine in a first-come-first-served order. Past data show that the average wait for a patient is 30 minutes. The service time in the process takes, on an average, 10 minutes, exponentially distributed. NOTE: 1-4 HAVE ANSWERS, I ONLY NEED 5-6-7 1- Average number of patients in the system Group of answer choices...
QUESTION 1 Customers arrive at a hair salon according to a Poisson process with an average of 1...
QUESTION 1 Customers arrive at a hair salon according to a Poisson process with an average of 16 customers per hour. Which of the following is most likely true, based on this information: a. The hair salon serves customers on a walk-in basis (rather than by appointment times) b. If 10 customers arrive in the first hour, it is likely that 22 customers will arrive in the next hour. c. If the salon can serve an average of 20 customers...
Please read the article and answer about questions. You and the Law Business and law are...
Please read the article and answer about questions. You and the Law Business and law are inseparable. For B-Money, the two predictably merged when he was negotiat- ing a deal for his tracks. At other times, the merger is unpredictable, like when your business faces an unexpected auto accident, product recall, or government regulation change. In either type of situation, when business owners know the law, they can better protect themselves and sometimes even avoid the problems completely. This chapter...
Most questions answered within 3 hours.
-
Passive investiment are alos called:
A)microcredit B) Derivatives C) Sustainability indices D)
SDGs
which option is...
asked 9 minutes ago -
Write about the Foreign Exchange Market. Describe the functions
of the foreign exchange market
asked 9 minutes ago -
10. You performed an RT-qPCR experiment to get the following Cq
values:
Ct values
Before food...
asked 9 minutes ago -
Bob is moving away from Alice with speed of 0.5c. Carlos is
moving away from Alice...
asked 32 minutes ago -
Interpret the following regression model:
Repairs = 0.33 + 0.312 New Cars + 0.71 Used...
asked 30 minutes ago -
Explain the principle of DC converter operation with (a)
resistive and (b) RL load using appropriate...
asked 31 minutes ago -
All of the following statements are true regarding the LIFO
reserve except:
Select one:
a. Companies...
asked 36 minutes ago -
Discuss the predicament that a safety professional faces knowing
that some OSHA regulations are outdated and...
asked 36 minutes ago -
Suppose the times (in hours) that it took for a tax preparer to
complete 15 randomly...
asked 37 minutes ago -
A 30-kg box is at rest on a horizontal floor with friction
coefficients μs = 0.65...
asked 39 minutes ago -
Erwin Schrödinger’s proposal regarding the
characteristics of electrons behavior, (What he meant
by wave like behavior...
asked 47 minutes ago -
Four years ago, your firm issued $1,000 par, 25-year bonds, with a
7 percent coupon rate...
asked 49 minutes ago