Hello, dear friend, you can consult us at any time if you have any questions, add WeChat: daixieit

Assignment III

Due date: 11:59 PM EST  6/13/2023

You are expected to provide a clear and readable answer.  To receive full credit your answer should include:

Necessary and appropriate assumptions (when applicable)

Formulas

Show all your work.  

Submit as a single PDF file. Make sure to pay attention to the due date. If you email your assignment to me after the due date and prior to Thursday 6/15/2022 at 9:00 am EST, it will be accepted, but there will be a 10% reduction to the assignment grade. Any later submission will not be allowed.

1. A hotel guest satisfaction study revealed that 32% of hotel guests experienced better-than-expected quality of sleep at the hotel. Among these guests, 50% stated they would "definitely" return to that hotel brand.

a. Find the probability that 3 of the14 hotel guests experienced a better-than-expected quality of sleep and would return to that hotel brand.

b. Find the probability that at least 3 of the 14 hotel guests experienced a better-than-expected quality of sleep and would return to that hotel brand.

c. Find the probability that at most 2 of the14 hotel guests experienced a better-than-expected quality of sleep and would return to that hotel brand.

2. According to a survey a person receives on the average 4.3 of pieces of junk mail per day.

a. What is the probability that this person will receive exactly four pieces of junk mail over the next two days?

b. What is the probability that this person will receive between 5 and 7 pieces of junk mail over the next two days?

c. What is the probability that this person will receive less than 2 pieces of junk mail over the next two days?

3. Among all the workers at an assembly plant, the amount of time needed to assemble a digital camera is a normally distributed random variable with mean11.5 hours and standard deviation 2.5 hours.

a. What is the probability that amount of time needed to assemble a digital camera is more than 12.5 hours?

b. What is the probability that amount of time needed to assemble a digital camera is between 8 and 9.5 hours?

c. If the time that a worker takes to assemble a camera is among the longest 1% of all assembly times, the worker must submit a report to the supervisor explaining why the assembly process took so long. What is the minimum assembly time required for the time to be included among the longest 1% of all assembly times?

Use MINITAB for Question 4.

4. The sanitation scores of 211 cruise ship which was reported on the march of 2019 is presented in the data file SANIT. Assess whether the sanitation scores are approximately normally distributed.