As it turns out, the actual data for annual rainfalls for Sydney, Australia are given in the table below. Based on these data, was our assumption of normality for the previous problem a correct one? Why or why not?

Table: Annual Rainfall in Sydney, Australia

The mean yearly rainfall in Sydney, Australia, is 136.9 mm and the standard deviation is 69.4mm. Assume rainfall is normally distributed.

The mean yearly rainfall in Sydney, Australia, is 136.9 mm and the standard deviation is 69.4mm. Assume rainfall is normally distributed.

(a) What is the random variable?

(b) Find the probability that the yearly rainfall is less than 100 mm.

(c) Find the probability that the yearly rainfall is more than 240 mm.

(d) Find the probability that the yearly rainfall is between 140 and 250 mm.

(e) If a year has a rainfall less than 100mm, does that mean it is an unusually dry year?  Why or why not?

(f) What rainfall amount are 90% of all yearly rainfalls more than?

Which of the secrets do you most agree with? Explain and discuss why for each separately.

Carol Kinsey Goman, a body language expert, wrote a book titled The Nonverbal Advantage in which she discusses how nonverbal communication can build trust and credibility with customers, colleagues and clients. In the below video clip about her book, she discusses four secrets to using body language effectively (i.e., the gaze, the head tilt, body orientation, and mirroring). After watching the video, answer the below questions.

video:The Nonverbal Advantage (Links to an external site.)

1. Consider the four secrets.

a. Which of the secrets do you most agree with? Explain and discuss why for each separately. [up to 25 points possible]

b. Which of the secrets do you particularly not agree with? Explain and discuss why for each separately. [up to 25 points possible]

*Note: If you strongly agree with all of the secrets, part a will become worth up to 50 points since there would be nothing to address in part b.

A Maytag dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years. Assume the life of a dishwasher is normally distributed.

A Maytag dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years.  Assume the life of a dishwasher is normally distributed.

(a) What is the random variable?

(b) Find the probability that a dishwasher will last more than 15 years.

(c) Find the probability that a dishwasher will last less than 6 years.

(d) Find the probability that a dishwasher will last between 8 and 10 years.

(e) If you found a dishwasher that lasted less than 6 years, would you think that you have a problem with the manufacturing process?   Why or why not?

(f) Maytag only wants to replace free of charge 5% of all dishwashers.  How long should the manufacturer make the warranty period?

Continuing with this problem, suppose now a sample of 10 dishwashers are chosen from the above normal distribution.

(g) Describe the distribution of the sample means: What is its shape? What is its mean? What is its standard deviation?

(h) Find the probability that the sample mean of the dishwashers is less than 6 years.

(i) If you found the sample mean life of the 10 dishwashers to be less than 6 years, would you think that you have a problem with the manufacturing process?   Why or why not?

According to a recent study the mean blood pressure for people in China is 128 mmHg with a standard deviation of 23 mmHg. Assume that blood pressure is normally distributed.

According to a recent study the mean blood pressure for people in China is 128 mmHg with a standard deviation of 23 mmHg.  Assume that blood pressure is normally distributed.

(a) What is the random variable?

(b) Find the probability that a person in China has blood pressure of 140 mmHg or more.

(c) Find the probability that a person in China has blood pressure of 135 mmHg or less.

(d) Is it unusual for a person in China to have a blood pressure of 135 mmHg or less?  Why or why not?

(e) Find the probability that a person in China has blood pressure between 120 and 125 mmHg.

(f) What is the 90^th percentile blood pressure for the people in China? (That is, what is the blood pressure which 90 percent of the people have less than?

Continuing with this problem, suppose now a sample of 15 people are chosen from the above normal distribution and we are interested in the mean blood pressure of such a sample.

(g) Describe the distribution of the sample means: What is its shape? What is its mean? What is its standard deviation?

(h) Find the probability that the sample mean blood pressure of 15 people in China is 140 mmHg or more.

(i) Would it be unusual to find a sample mean blood pressure of 15 people in China of 140 mmHg or more?  Why or why not?

Find the z-score corresponding to the given area. Remember, z is distributed as the standard normal distribution with mean of μ = 0 and standard deviation σ = 1.

Find the z-score corresponding to the given area.  Remember, z is distributed as the standard normal distribution with mean of μ = 0 and standard deviation σ = 1.

(a) The area to the left of z is 25%.

(b) The area to the right of z is 65%.

(c) The area to the left of z is 10%.

(d) The area to the right of z is 5%.

(e) Find the value for z such that the area between –z and z is 95%. (Hint: Drawing a picture might help.)

(f) Find the value for z such that the area between –z and z is 99%. (Hint: Drawing a picture might help.)

A system is defined by y[n] = nx[n +1] Is it causal?

A system is defined by y[n] = nx[n +1] Is it causal? Linear? Time-invariant? Prove your answers.

Research the Flexner Report.

Research the Flexner Report. How did this report transform medical school in the early
1900s, and how did existing medical schools respond? How did the change in curriculum
requirements affect the profession of medicine?

The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during peak rush hour periods of twelve (12) minutes.

The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during peak rush hour periods of twelve (12) minutes.

(a) What is the random variable?

(b) Find the height of this uniform distribution.

(c) Find the probability of waiting between four and five minutes.

(d) Find the probability of waiting between three and eight minutes.

(e) Find the probability of waiting five minutes exactly.

Making the Team: A Guide for Managers, Sixth Edition.

Very Important Notes:

To start proceeding on this task, and gain the full marks, you will need to consider the following:

• Before you start proceeding directly on the task, and to ensure that you follow and understand the given instructions correctly in order to gain the maximum points, please open and carefully read the file name titled (Community of Learning Discussions Instructions Guide). The file is Uploaded to you in the pdf file format.
• – Read chapters 4 & 5, (Team Cohesion and Trust & Performance and Productivity) from the related textbook that you have.

– Read chapters 4 & 5, (Team Cohesion and Trust & Performance and Productivity) from the given uploaded files in pdf format that I uploaded to you.

Then do the following:

Part 1. Creating new related threads. Please open the file name called (Examples of Answers – Community of Learning Discussions) then see the examples of other student’s answers and how they did in relation to this part. Create your own.

Part 2. Participate in the threads created by other classmates. Use this opportunity to practice and demonstrate your competence, caring, and character. Please open the file name called (Examples of Answers – Community of Learning Discussions) then reply only to one student’s post. You may choose to reply to either (Hemant Rao) post or (Anaelys Reyna).