Question

Most exhibition shows open in the morning and close in the late evening. A study of...

Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about 46 minutes. Assume that the arrival times follow a normal distribution. (a) At what time after the doors open will 91% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.) minutes after doors open (b) At what time after the doors open will only 20% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.) minutes after doors open (c) Do you think the probability distribution of arrival times for Friday might be different from the distribution of arrival times for Saturday? Explain your answer.

Homework Answers

Answer #1

Solution:-

Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about 46 minutes.

A)

At what time after the doors open will 91% of the people.

z-Score for 0.91 is 1.3408

Mean=228,

Standard deviation=46

z=(x-mean)/Sd

1.3408=(x-228)/46

x-228=46*1.3408

x=61.6768+228

x=4 hours 50 minutes.

B)

At what time after the door open will be only 20%

z-score for 0.20 or 20% is

z=-0.8416.

-0.8416=(x-228)/46

x-228=46*(-0.8416)

x=228-38.7136

minutes OR

x=3 hours 9 minutes.

C)

Do you think the probability

Friday,people probability arrive later if they have been working.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Most exhibition shows open in the morning and close in the late evening. A study of...
Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about 56 minutes. Assume that the arrival times follow a normal distribution. (a) At what time after the doors open will 88% of the people who are coming to the Saturday show have arrived? (Round your answer to...
QUESTION # 1 Most exhibition shows open in the morning and close in the late evening....
QUESTION # 1 Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about 58 minutes. Assume that the arrival times follow a normal distribution. (a) At what time after the doors open will 87% of the people who are coming to the Saturday show have arrived? Round...
The day after Thanksgiving is known as "Black Friday" as retailers open early on Friday morning,...
The day after Thanksgiving is known as "Black Friday" as retailers open early on Friday morning, or sometimes late at night on Thanksgiving Day itself, to start the holiday shopping season. However, there is a current social movement afoot to allow employees to enjoy the Thanksgiving holiday by discouraging consumers from patronizing stores that open on Thanksgiving Day evening. SaMart believes that consumers will not follow the social pressure and will continue to show up in large numbers at midnight...
Consumer Reports rated airlines and found that 80% of the flights involved in the study arrived...
Consumer Reports rated airlines and found that 80% of the flights involved in the study arrived on time (i.e., within 15 minutes of scheduled arrival time). Assuming that the on-time arrival rate is representative of the entire commercial airline industry, consider a random sample of 214 flights. (Round your answers to two decimal places.) What is the expected number that will arrive on time? What is the standard deviation of this distribution? The Orchard Cafe has found that about 6%...
Problem 11-19 (Algorithmic) All airplane passengers at the Lake City Regional Airport must pass through a...
Problem 11-19 (Algorithmic) All airplane passengers at the Lake City Regional Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening stations available, and the facility manager must decide how many to have open at any particular time. The service rate for processing passengers at each screening station is 3 passengers per minute. On Monday morning the arrival rate is 5.6 passengers per minute. Assume that processing times at each screening...
Problem 11-19 (Algorithmic) All airplane passengers at the Lake City Regional Airport must pass through a...
Problem 11-19 (Algorithmic) All airplane passengers at the Lake City Regional Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening stations available, and the facility manager must decide how many to have open at any particular time. The service rate for processing passengers at each screening station is 3 passengers per minute. On Monday morning the arrival rate is 4.8 passengers per minute. Assume that processing times at each screening...
An insurance company has one adjuster in the branch office. People with claims against the company...
An insurance company has one adjuster in the branch office. People with claims against the company are found to arrive in a Poisson fashion during an 8 to 5 workday. Determine the hourly service and arrival rates using an 8-hour workday. The amount of time that the adjuster spends with a claimant is exponentially distributed. Claimants are processed in the order of their arrival. You are the manager of this branch and you wanted to investigate service provided by your...
It’s a bright Tuesday morning, and you’re sitting in a rather exciting meeting in which your...
It’s a bright Tuesday morning, and you’re sitting in a rather exciting meeting in which your company’s marketing team will present the new fall campaign. It’s been an exciting time since you took over as CEO of this small electronics firm, and everyone is anticipating that the new product lineup that the company has been working on will bring new levels of success. Just as the team is about to start presenting their thoughts on how to market the new...
The special case of the gamma distribution in which α is a positive integer n is...
The special case of the gamma distribution in which α is a positive integer n is called an Erlang distribution. If we replace β by 1 λ in the expression below, f(x; α, β) = 1 βαΓ(α) xα − 1e−x/β x ≥ 0 0 otherwise the Erlang pdf is as follows. f(x; λ, n) = λ(λx)n − 1e−λx (n − 1)! x ≥ 0 0 x < 0 It can be shown that if the times between successive events are...
Background information for the assignment. You are the RN on a morning shift on the respiratory...
Background information for the assignment. You are the RN on a morning shift on the respiratory ward of a large inner-city hospital. At 10:30 AM you receive a patient from the Emergency Department. This is the hand-over you receive. I My name is Catriona and I am the A&E RN who has been caring for Ms Aaliyah Abimbola. Thank you so much for taking this patient so quickly. We’re so busy we haven’t time to do much for her apart...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT