19.26 A container holds 2.5 g of argon at a pressure of 8.0atm.

Part A

How much heat is required to increase the temperature by 100∘C at constant volume?

Express your answer to two decimal places and include the appropriate units.

Part B

How much will the temperature increase if this amount of heat energy is transferred to the gas at constant pressure?

19.53 A 10 cm -diameter cylinder contains argon gas at 10 atm pressure and a temperature of 60 ∘C . A piston can slide in and out of the cylinder. The cylinder's initial length is 21 cm . 2500 J of heat are transferred to the gas, causing the gas to expand at constant pressure.

Part A

What is the final temperature of the cylinder?

Part B

What is the final length of the cylinder?

26. Based on patient records from the past several years, 13% of the patients who visit the emergency room at Mercy Hospital do not have health insurance.

a. What is the probability that exactly one out of the next seven random patients who visit the emergency room at Mercy Hospital will not have health insurance?

Do not round intermediate calculations. Round your answer to four decimal places.

Probability = ???

b. What is the probability that two or more out of the next seven random patients who visit the emergency room at Mercy Hospital will not have health insurance?

Round intermediate probabilities to four decimal places. Do not round any other intermediate calculations. Round your answer to four decimal places.

Probability = ???

c. On average, how many out of every 25 random patients who visit the emergency room at Mercy Hospital will not have health insurance?

Round your answer to two decimal places.

Average number = ??? patients

Based on patient records from the past several years, 12% of the patients who visit the emergency room at Mercy Hospital do not have health insurance.

a. What is the probability that exactly one out of the next seven random patients who visit the emergency room at Mercy Hospital will not have health insurance?

Do not round intermediate calculations. Round your answer to four decimal places.

Probability =

b. What is the probability that two or more out of the next seven random patients who visit the emergency room at Mercy Hospital will not have health insurance?

Round intermediate probabilities to four decimal places. Do not round any other intermediate calculations. Round your answer to four decimal places.

Probability =

c. On average, how many out of every 25 random patients who visit the emergency room at Mercy Hospital will not have health insurance?

Round your answer to two decimal places.

Average number = patients

a. For the experiment in which the number of computers in use at a six - computer lab is observed, let B, C be the events defined as B = {3, 4, 5, 6}, and C = {1, 3, 5}. Give the event (B ^ C) using set notation (i.e using { } ).

b. Suppose that the probability of a person getting a certain rare disease is 0.0004 . Consider a town of 10,000 people. What is the approximate probability of seeing more than 3 new cases in a year?

c. To get to work, a commuter must cross train tracks. The time the train arrives varies slightly from day to day, but the commuter estimates he will be stopped 10% of work days. During a certain 5 - day work week, what is the probability that he gets stopped at least once during the week?

d. Suppose occurrences of sales on a small company’s website are modeled by a Poisson model with λ = 6/hour. What is the probability that the next sale will happen in the next 12 minutes?

a. For the experiment in which the number of computers in use at a six - computer lab is observed, let B, C be the events defined as B = {3, 4, 5, 6}, and C = {1, 3, 5}. Give the event (B ^ C) using set notation (i.e using { } ).

b. Suppose that the probability of a person getting a certain rare disease is 0.0004 . Consider a town of 10,000 people. What is the approximate probability of seeing more than 3 new cases in a year?

c. To get to work, a commuter must cross train tracks. The time the train arrives varies slightly from day to day, but the commuter estimates he will be stopped 10% of work days. During a certain 5 - day work week, what is the probability that he gets stopped at least once during the week?

d. Suppose occurrences of sales on a small company’s website are modeled by a Poisson model with λ = 6/hour. What is the probability that the next sale will happen in the next 12 minutes?

2. The ACME Co. has a customer service center that keeps track of the number of super genius coyotes that called for either help, support, or comp

a. Find the missing probability that makes the table a probability distribution.

b. Define the random variable X. X represents......

c. Find the mean, the variance, and the standard deviation. If necessary, round your answer to the nearest hundredth.

Mean:

Variance:

Standard Deviation:

d. Based on the results of the data, how many service representatives should ACME Co. employ?

e. Find the probability that at most 2 super genius coyotes called the customer service center in a random 1-hour period during the day

f. Find the probability that at least 4 super genius coyotes called the customer service center in a random 1-hour period during the day.

I am trying to figure out the probability, expected value, variance, and standard deviation for a series of dice rolls. For example, if I roll a six-sided die in an attempt to roll a 1, and it takes me 7 rolls before a 1 appears, what are those answers? I have figured out the probability equation:

P(P-1)^x where x is the number of rolls - 1 so for 7 rolls the probability would be: 1/6(1-1/6)^6 = 0.05581632...

Further where I am lost is taking the above and using it to find the Expected Value, Variance, and Standard Deviation?

As I see the equations but plugging in numbers has me lost as p is the probability of failure and x = 0,1,2,3 for geometric distribution it would be

E(X)= (1-p)/p .... this is where I am lost as failure is 5/6 not 1/6 correct? Please show example of this so I can better understand, also on Variance, and Standard Deviation?

A group of participants was surveyed and the information collected shown in the partially completed contingency table below regarding gender and the attitudes on abortion. Firstly, calculate the missing values.

Now, using the completed contingency table, select the statements from the following list that are true.   Note: a statement is true only if the value you calculated from the completed contingency table, when rounded to the same number of decimal places as in the statement, is the same as the value in the statement.  

4. A space probe encounters a planet capable of sustaining life on average every 3.4 lightyears. (Recall that a lightyear is a measure of distance, not time.)

a) Let L be the number of life-sustaining planets that the probe encounters in 10 lightyears. What are the distribution, parameter(s), and support of L?

b) What is the probability that the probe encounters at least 2 life-sustaining planets in 10 lightyears?

c) The probe has just encountered a life-sustaining planet. What is the probability that it takes more than 4 lightyears to encounter the next life-sustaining planet? What distribution and parameter(s) are you using?

d) Suppose the probe has not encountered a life-sustaining planet for 2.5 lightyears. Knowing this, what is the probability that it will take at most 8 lightyears to detect the next life-sustaining planet?

e) The probe has encountered 10 life-sustaining planets in the last 25 lightyears. What is the probability that there are 3 life-sustaining planets in the first 5 lightyears of this 25-lightyear span?