Hi,i want an 5 solved examples for (differential equation in fluid dynamics )

*the exampls (proplems) should be have ordinary differential equation in Operative of the question (It is preferable to be for the highest order)

and The answer should be a hand writing solution to these differential equations

2. Identify the level of measurement for the following variables from the 2010 General Social Survey data:

a. Sex, b. Race, c. Highest educational degree earned,d. Hours worked per week, and e. Age at first marriage

Coupon, Discount, Sinking, Floating, Call, Municipal, Income, Index, and Junk bonds.

Describe the distinguishing features of eight (8) of these bonds, Explain with examples which bond pays the highest return and which bond pays the lowest return and Why?

Transport plays an essential role in the supply chain and when managed properly can allow supply chains to work more efficiently and effectively. Determine the modal split for freight in South Africa. Provide reasons for the choice of the mode with the highest split.

Consider the Happy Cruise Lines Sailor file shown below. It lists all of the sailors on the company’s cruise ships by their unique sailor identification number, their name, the unique identification number of the ship they currently work on, their home country, and their job title.

                 Sailor file

QUESTION: Construct a B+-tree index of the type shown in this chapter for the Sailor file, assuming that now there are many more records than are shown above. The file and the index have the following characteristics:

• The file is stored on nine cylinders of the disk. The highest key values on the nine cylinders, in order, are:

                        Cylinder 1: 02653

                        Cylinder 2: 07784

                        Cylinder 3: 13957

                        Cylinder 4: 18002

                        Cylinder 5: 22529

                        Cylinder 6: 27486

                        Cylinder 7: 35800

                        Cylinder 8: 41633

                        Cylinder 9: 48374

• Each index record can hold four key value/pointer pairs.

• There are three index records at the lowest level of the tree index.

Problems 1 and 2, draw the appropriate probability distribution curve and label all values. Show all your work. Do not use Excel or a statistical calculator to compute the probabilities. Showing only the answer will result in a zero grade.

1. Whitney Gourmet Cat Food has determined the weight of their cat food can is normally distributed with a mean of 3 ounces and a standard deviation of 0.05 ounces. To meet legal and customer satisfaction goals each can must weigh between 2.95 and 3.1 ounces.
   1. If a single can is chosen, what is the probability it will weigh less between 2.95 and 3.1 ounces?
      
      
      
      
      
      

1. 2. If 5 cans are chosen, what is the probability the sample mean will be less than 2.95 ounces?
      
      
      
      
      
      
      
      
      
   3. If 5 cans are chosen, there is a 95 percent probability the sample mean will fall between what two values symmetrically distributed around the population mean?
      
      
      
      
      
      
      
      
      
      
2. Lightning Speed manufactures carbon fiber composite tubing for bicycles. This is a mature process and the population mean for their tubing’s strength is known to be 318 hundred pounds per square inch (k lbs) and the population standard deviation is known to be 20 k lbs.
   
   
   1. If 30 pieces of tubing are sampled and tested, what is the probability the sample mean is greater than 320 k lbs?
      
      
      
      
      
      
      

2. Use of the standard normal distribution table requires the sampling distribution of the mean to be normally distributed.   If the population is not known to be normally distributed, how can you be sure the sampling distribution of the mean is normally distributed? Provide sufficient detail to justify your answer.
   

Problems 3-5, use the appropriate equations as shown in your text. Show all your work. Do not use Excel or a statistical calculator to compute probabilities. Showing only the answer will result in a zero grade.

3. A published poll has indicated that 1 out of 15 people who use regular gasoline will pay $.40/gallon more for regular gasoline without ethanol.
   
   1. A local service station sells both regular grade gasoline with ethanol and regular grade gasoline without ethanol. What is the probability that the 20^th person visiting the service station to purchase regular gasoline will be the 4th person to purchase regular gasoline without ethanol?
      
      
      
      
      

2. If 20 people visit the service station to purchase regular gasoline, what is the probability that at least two will purchase regular gasoline without ethanol?
   
   
   
   
   

4. A published poll has indicated that 1 out of 20 people will pay 15% more for Spotted Cow brand of milk that is organic as compared to Spotted Cow brand of milk that is not organic. Fifty people are surveyed and ask if they would pay 15% more for Spotted Cow organic milk as compared to Spotted Cow milk that is not organic.
   
   What is the probability that the first person surveyed will indicate he or she is willing to pay 15% more for Spotted Cow organic milk?
   
   
   
   
5. A lottery is conducted in which 7 winning numbers are randomly selected from a total of 62 numbers (1-62). In addition, the Powerball, a single winning number, is selected from an independent pool of 26 numbers (1-26). You select 7 numbers from the pool of 62 numbers.
   
   1. What is the probability that you selected 4 winning numbers?
      
      
      
      
      
      
      
      
   2. What is the probability that you selected none of the winning numbers?
      
      
      
      
      
      
      
      
      
      
   3. What is the probability that you will select at least one of the winning numbers?
      
      
      
      
      
      
      
      
      
   4. If the probability of choosing 2 of the 7 winning numbers from the pool of 62 numbers is .08862, what is the probability will choose the Powerball from the pool of 26 numbers?
      
      

A) Suppose the probability that a mosquito dies when subjected to a 1 unit of insecticide is 0.7, and the probability that a fly dies when subjected to the same dose of insecticide is 0.5.   Assuming independence, what is the probability that both the fly and mosquito die when subjected to 1 unit of insecticide

B) Suppose A and B are events where the probability that B occurs is 0.3, and the probability that both A and B occur is 0.18. The conditional probability of A, given B, is

C) Suppose A and B are independent events, each occurring with probability 0.3 What is the probability that A does not occur and B does not occur?

D) Suppose A and B are disjoint events where A has probability 0.5 and B has probability 0.4. The probability that A or B occurs is

E) Suppose A and B are events where the conditional probability of A, given B, is 0.9, and the probability of B is 0.3. The probability that A and B both occur is

Many random processes are well understood. Let’s study two of them. A Bernoulli process is a random process with only two possible outcomes: “Head” or “Tail”, “Success” or “Failure”, 1 or 0, etc. Examples: ipping a coin; winning the grand prize in a lottery; whether it rains on any given day. Let Y be the random variable of a Bernoulli process. It is customary to dene the sample space as S = {1,0}, where 1 denotes “Head” or “Success” and 0 denotes “Tail” or “Failure”.
If P(Y = 1) = p, where p is some real number between 0 and 1, then clearly P(Y = 0) = 1−p. Think of p as the “success rate”, or the probability of getting a “Head” in a single coin ip. We call p the parameter of the Bernoulli process, and write: Y ∼ Bernoulli(p) to mean that Y is a random variable of a Bernoulli process with success rate p. Example: ipping a fair coin once is Bernoulli process with success rate p = 0.5.
Another common random process is the Binomial process. This may be dened as the sum of n independent Bernoulli processes. Consider ipping a coin n times, where each ip is the random variable Yi ∼ Bernoulli(p), for i = 1,2,...,n. Now let X = Y1 + Y2 + ...Yn. Then the sample space is U = {0,1,2,...,n}, and the random variable X can take any value in U. You can interpret X as the number of “Heads” when the coin is ipped n times.
The probability of getting k “Heads” in n ips is given by: P(X = k) =n kpk(1−p)n−k, for k = 0,1,2,...,n. And we say: X ∼ Binom(n,p) to mean that X follows a Binomial process with parameters n and p. Note that a Binomial process has two parameters.
(a) (1 mark) If Y ∼ Bernoulli(p), then show that E[Y ] = p. (b) (1 mark) If X ∼ Binom(n,p), then show that E[X] = np. (c) You own a restaurant, and from experience, you know that 3 out of every 5 customers will ask for ice water with their meal. A sports team of 12 people has booked your restaurant on Sunday to celebrate their victory. Model this problem as follows:
Let X be the number of people who want ice water with their meal. Then X ∼ Binom(12,p), where p = 3/5. i. Calculate the probability that at least 3 people will ask for ice water. ii. (1 mark) You would like to prepare enough ice water for Sunday’s party. What is the expected number of people who would want ice water?

1.

Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a mean of 120 and a standard deviation of 16. What is the probability that the mean glucose level is LESS THAN 115 in a sample of 12 patients?

Group of answer choices

a.1.08

b.0.8599

c.0.1401

d.-1.08

2. I cant seem to find the right answer here

Glucose levels in patients free of diabetes are assumed to follow a normal distribution with a mean of 120 and a standard deviation of 16. What is the probability that the mean glucose level is LESS THAN 115 in a sample of 12 patients?

Group of answer choices

A.1.08

B.0.8599

C.0.1401

D.-1.08

3. Among coffee drinkers, men drink a mean of 3.2 cups per day with a standard

deviation of 0.8 cups. Assume the number of cups per day follows a normal distribution. If a sample of 20 men is selected, what is the probability that the mean number of cups per day is GREATER THAN 3 cups?

Group of answer choices

a.0.8686

b.-0.1314

c.0.1314

d.-1.12

4.

If a 95% CI for the difference in two independent means is (-4.5 to 2.1), then which of the following is true? Make sure you completely read ALL of each choice below. The entire choice must be correct to be the right choice.

Group of answer choices

a.The confidence interval is (-4.5, 2.1); the first number is negative, and the second number is positive. Therefore, there IS a significant difference in means.

b.The confidence interval is (-4.5, 2.1), which overlaps 0. Therefore, there is NOT a significant difference in the two independent means.

c.The confidence interval is (-4.5, 2.1), which overlaps 0. Therefore, there IS a significant difference in two independent means.

d. The confidence interval is (-4.5, 2.1) which does NOT overlap 0. Therefore, there IS a significant difference in the two independent means.

5.

If a 95% CI for the difference in two independent means is (-2.1 to 4.5), then which of the following is true? Make sure you completely read ALL of each choice below. The entire choice must be correct to be the right choice.

Group of answer choices

a. The confidence interval is (-2.1, 4.5) which does NOT overlap 0. Therefore, there is NOT a significant difference in the two independent means.

b.The confidence interval is (-2.1, 4.5), which overlaps 0. Therefore, there IS a significant difference in two independent means.

c. The confidence interval is (-2.1, 4.5), which overlaps 0. Therefore, there is NOT a significant difference in the two independent means.

d. The confidence interval is (-2.1, 4.5) which does NOT overlap 0. Therefore, there IS a significant difference in the two independent means.

Your company, Sonic Video, Inc., has conducted research that shows the probability distribution, where X is the number of video arcades in a randomly chosen city with more than 500,000 inhabitants. x 0 1 2 3 4 5 6 7 8 9 P(X = x) 0.07 0.09 0.37 0.22 0.16 0.03 0.02 0.02 0.01 0.01 (a) Compute the mean, variance and standard deviation (accurate to one decimal place). mean variance standard deviation (b) As CEO of Startrooper Video Unlimited, you wish to install a chain of video arcades in Sleepy City, U.S.A. The city council regulations require that the number of arcades be within the range shared by at least 75% of all cities. What is this range? (Find the interval containing at least 3/4 of the data as guaranteed by Chebyshev's Rule. Round your answers to one decimal place.) , What is the largest (whole) number of video arcades you should install so as to comply with this regulation? arcades