A person with a cough is a persona non grata on airplanes, elevators, or at the theater. In theaters especially, the irritation level rises with each muffled explosion. According to Dr. Brian Carlin, a Pittsburgh pulmonologist, in any large audience you'll hear about 8 coughs per minute.

(a) Let r = number of coughs in a given time interval. Explain why the Poisson distribution would be a good choice for the probability distribution of r.

Coughs are a common occurrence. It is reasonable to assume the events are dependent.Coughs are a common occurrence. It is reasonable to assume the events are independent.    Coughs are a rare occurrence. It is reasonable to assume the events are dependent.Coughs are a rare occurrence. It is reasonable to assume the events are independent.

(b) Find the probability of six or fewer coughs (in a large auditorium) in a 1-minute period. (Use 4 decimal places.)


(c) Find the probability of at least eight coughs (in a large auditorium) in a 24-second period. (Use 4 decimal places.)

Suppose that the sitting​ back-to-knee length for a group of adults has a normal distribution with a mean of mu equals 22.7 in. and a standard deviation of sigma equals 1.2 in. These data are often used in the design of different​ seats, including aircraft​ seats, train​ seats, theater​ seats, and classroom seats. Instead of using 0.05 for identifying significant​ values, use the criteria that a value x is significantly high if​ P(x or ​greater)less than or equals0.01 and a value is significantly low if​ P(x or ​less)less than or equals0.01. Find the​ back-to-knee lengths separating significant values from those that are not significant. Using these​ criteria, is a​ back-to-knee length of 24.9 in. significantly​ high? Find the​ back-to-knee lengths separating significant values from those that are not significant. ​Back-to-knee lengths greater than nothing in. and less than nothing in. are not​ significant, and values outside that range are considered significant. ​(Round to one decimal place as​ needed.).

6.2.19-E Suppose that the sitting​ back-to-knee length for a group of adults has a normal distribution with a mean of mu equals 24.1 in. and a standard deviation of sigma equals 1.1 in. These data are often used in the design of different​ seats, including aircraft​ seats, train​ seats, theater​ seats, and classroom seats. Instead of using 0.05 for identifying significant​ values, use the criteria that a value x is significantly high if​ P(x or ​greater)less than or equals0.01 and a value is significantly low if​ P(x or ​less)less than or equals0.01. Find the​ back-to-knee lengths separating significant values from those that are not significant. Using these​ criteria, is a​ back-to-knee length of 26.2 in. significantly​ high? Find the​ back-to-knee lengths separating significant values from those that are not significant. ​Back-to-knee lengths greater than nothing in. and less than nothing in. are not​ significant, and values outside that range are considered significant.

A person with a cough is a persona non grata on airplanes, elevators, or at the theater. In theaters especially, the irritation level rises with each muffled explosion. According to Dr. Brian Carlin, a Pittsburgh pulmonologist, in any large audience you'll hear about 18 coughs per minute.

(a) Let r = number of coughs in a given time interval. Explain why the Poisson distribution would be a good choice for the probability distribution of r. Coughs are a common occurrence. It is reasonable to assume the events are independent. Coughs are a common occurrence. It is reasonable to assume the events are dependent. Coughs are a rare occurrence. It is reasonable to assume the events are independent. Coughs are a rare occurrence. It is reasonable to assume the events are dependent.

(b) Find the probability of seven or fewer coughs (in a large auditorium) in a 1-minute period. (Use 4 decimal places.)

(c) Find the probability of at least eight coughs (in a large auditorium) in a 28-second period. (Use 4 decimal places.)

Suppose that Disney is considering one more Toy Story movie. The company is not confident in box office sales, but they do believe that the file will create merchandising opportunities (DVDs, toys, clothes,..etc). Their early analysis believes the move will have an NPV of -$43.00 million if you only look at ticket sales in the theater. However, they also believe that the movie will create sales of $80.00 million per year in merchandise. The merchandise sales will decline each year by 21.00% in perpetuity. Let’s assume that after-tax operating margin on these sales is 14.00%, and that Disney has a cost of capital at 8.00%. What is the cash flow created by the merchandise side effect in the first year? (answer in terms of millions, so 1,000,000 would be 1.00)

Let’s value this as a perpetuity. The merchandise sales will continue indefinitely, BUT the sales will decrease each year. What is the net NPV for creating the movie? (answer in terms of millions, so 1,000,000 would be 1.00)

provide and discuss a specific example of socialization from life experience. (For example, you can discuss your involvement in sports, music, theater, or other group activities, your first paid job, moving to a new city, or an important family/cultural event or holiday, like Thanksgiving).

1. First, explain the experience in detail and then talk about what skills, values, or knowledge you developed as a result.
2. Identify the key agents of socialization (such as family, teachers, or coaches) and their various social roles and identities.  What agents were most directly involved in this experience, and why?
3. Reflect on the ways in which this experience is connected to cultural values and norms.  Which cultural values and norms did you learn about through this experience?
4. Discuss how this experience contributed to your perspective and position in society or social group.  What did you learn about yourself? What did you learn about society?

Suppose that Disney is considering one more Toy Story movie. The company is not confident in box office sales, but they do believe that the file will create merchandising opportunities (DVDs, toys, clothes,..etc). Their early analysis believes the move will have an NPV of -$39.00 million if you only look at ticket sales in the theater. However, they also believe that the movie will create sales of $82.00 million per year in merchandise. The merchandise sales will decline each year by 26.00% in perpetuity. Let’s assume that after-tax operating margin on these sales is 11.00%, and that Disney has a cost of capital at 10.00%.

A) What is the cash flow created by the merchandise side effect in the first year? (answer in terms of millions, so 1,000,000 would be 1.00)

B) Let’s value this as a perpetuity. The merchandise sales will continue indefinitely, BUT the sales will decrease each year. What is the net NPV for creating the movie? (answer in terms of millions, so 1,000,000 would be 1.00)

The tabulated data were collected for this reaction at a certain temperature: X2Y→2X+Y

What is the concentration of X after 11.5 hours?

Calculate the diffusion constant of argon at 20°C and at the following pressures. Take σ = 0.36 nm2. If a pressure gradient of 1.0 bar·m−1 is established in a pipe, what is the flow of gas due to diffusion?

(a) 2.02 Pa (b) 202 kPa (c) 20.2 MPa

Identify the following as acids, bases, or neutral solutions:

contains more hydronium ions than hydroxide ions

H2O

[H3O+] = 3.4 × 10-5 M

[OH-] = 2.8 × 10-2 M

Ca(OH)2

[H3O+] = 1.0 × 10-7 M