Falcon is self-employed and runs her own business. Falcon’s trading profits for the year 2014/15 were £5,100. Profits per Falcon’s financial statements were £5,700. Falcon also had earnings of £9,500 from part-time employment. Which of the following combinations of National Insurance contributions must Falcon pay in 2014/15?

a) Class 1 primary, Class 1 secondary

b) Class 1 secondary, Class 4

c) Class 1 primary, Class 2

d) Class 4, Class 2

A consumer is known to consume the bundle (4, 3, 12, 8) when the price vector is (2, 2, 1, 3). Suppose the price of the fourth commodity increases by one to 4. What income compensation would we need to provide to the consumer under Slutsky compensation?

Thank you in advance, i'm not so good with this subject so could you include the steps you did please

1. The gross weekly sales at a certain super market are a Gaussian random with mean $2200 and standard deviation $230. Assume that the sales from week to week are independent. (a) Find the probability that the gross sales over the next two weeks exceed $5000. (b) Find the probability that the gross weekly sales exceed $2000 in at least 2 of the next 3 weeks.

2. Let ?1,?2,?3 and ?4 be pairwise uncorrelated random variables each with zero mean and unit variance. Compute that correlation coefficient between

(a) ?1 + ?2 and ?2 + ?3. (b) ?1 + ?2 and ?3 + 4.

3. Let the random variables ? be the sum of independent Poisson distributed random variables, i.e., ? = ∑ ? (top) ?=1(bottom) ?? , where ?? is Poisson distributed with mean ?? .

(a) Find the moment generating function of ?? . (b) Derive the moment generating function of ?. (c) Hence, find the probability mass function of ?.

4. Let ? and ? be independent and identically distributed random variables with mean ? and variance ?^2. Find the following:

(a) ?[(? + 7) ^2 ]

(b) Var(8? + 9)

(c) ?[(? − ?) ^2 ]

(d) Cov{(? + ?), (? − ?)}

5. The moment generating function of the random variable X is given by ??(?) = exp{7(?^(?)) − 7} and that of ? by ?? (?) = ( (8/9) (?^(?)) + (6/9))^10 . Assuming that ? and ? are independent, find

(a) ?{? + ? = 7}.

(b) ?{?? = 0}.

(c) ?(??).

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1. (a) What type of data is this? That is, is it: Qualitative Nominal, Qualitative Ordinal, Quantitative Discrete, or Quantitative Continuous data?
   (b) Explain WHY you say it is that type.
2. What is the probability P(x > 2)? Express the probability as a decimal, rounded to three places.
3. Find P(x is no more than 12). Express the probability as a decimal, rounded to three places.
4. Does the probability in Question 3 indicate that it was an unusual event? Look up the concept of an unusual event in the textbook, if necessary, before answering! Explain your answer in a full sentence. Be sure you are specific about the value of the probability in Question 3 in comparison to the criterion for an unusual event.
5. In your opinion, does the store need more checkout lanes? Cite specific probabilities from your distribution to justify your written answer; do not just answer yes/no.

Use the Data Below to answer the following question below

===============================

1. (a) What type of data is this? That is, is it: Qualitative Nominal, Qualitative Ordinal, Quantitative Discrete, or Quantitative Continuous data?
   (b) Explain WHY you say it is that type.
2. What is the probability P(x > 2)? Express the probability as a decimal, rounded to three places.
3. Find P(x is no more than 12). Express the probability as a decimal, rounded to three places.
4. Does the probability in Question 3 indicate that it was an unusual event? Look up the concept of an unusual event in the textbook, if necessary, before answering! Explain your answer in a full sentence. Be sure you are specific about the value of the probability in Question 3 in comparison to the criterion for an unusual event.
5. In your opinion, does the store need more checkout lanes? Cite specific probabilities from your distribution to justify your written answer; do not just answer yes/no.

In C language

Write a program that includes a function search() that finds the index of the first element of an input array that contains the value specified. n is the size of the array. If no element of the array contains the value, then the function should return -1. The program takes an int array, the number of elements in the array, and the value that it searches for. The main function takes input, calls the search()function, and displays the output. Name program part1.c

int search(int a[], int n, int value);

Example 1:

Enter length of array: 4

Enter elements of array: 8 2 3 9

Enter the value for searching: 2

Output: 1

Example 2:

Enter the length of the array: 6

Enter the elements of the array: 4 6 1 0 2 9

Enter the value for searching: 5

Output: -1

2. Modify the part 1 program so that it deletes all instances of the value from the array. As part of the solution, write and call the function delete() with the following prototype. n is the size of the array. The function returns the new size of the array after deletion (The array after deletion will be the same size as before but the actual elements are the elements from index 0 to new_size-1). In writing function delete(), you may include calls to function search(). The main function takes input, calls the delete()function, and displays the output. Name your program part2.c.

int delete(int a[], int n, int value);

Example 1:

Enter the length of the array: 6

Enter the elements of the array: 4 3 1 0 3 9

Enter the value for deleting: 3

Output array:

4 1 0 9

Run the following ANOVA analysis in excel and interpret your findings. Upload your screen shots of the steps you took in running the analysis in excel.

Run the following ANOVA analysis in excel and interpret your findings. Upload your screen shots of the steps you took in running the analysis in excel.

Cornerstone Exercise 8.11 (Algorithmic)
Cash Receipts Budget and Accounts Receivable Aging Schedule

Shalimar Company manufactures and sells industrial products. For next year, Shalimar has budgeted the following sales:

In Shalimar’s experience, 10 percent of sales are paid in cash. Of the sales on account, 65 percent are collected in the quarter of sale, 25 percent are collected in the quarter following the sale, and 7 percent are collected in the second quarter after the sale. The remaining 3 percent are never collected. Total sales for the third quarter of the current year are $5,710,000 and for the fourth quarter of the current year are $7,170,000.

Required:

1. Calculate cash sales and credit sales expected in the last two quarters of the current year, and in each quarter of next year.

For each of the following sequences find a functionansuch that the sequence is a1, a2, a3, . . ..

You're looking for a closed form - in particular, your answer may NOT be a recurrence (it may not involveany otherai). Also, while in general it is acceptable to use a "by cases"/piecewise definition, for this task you must instead present a SINGLE function that works for all cases.(Hint: you may find it helpful to first look at the sequence of differences of consecutive terms.)

1) 7,1/11, 15,1/19, 23,1/27, 31,. . .

2) 1, 2, 2, 3, 3, 3, 4, 4, 4, 4,. . .where each i∈N is repeated i times.  (Hint: one or more of the following may be useful: floor function, Gauss sum, quadratic formula)