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alisha [4.7K]
3 years ago
14

West Virginia has one of the highest divorce rates in the nation, with an annual rate of approximately 5 divorces per 1000 peopl

e (Centers for Disease Control and Prevention website, January 12, 2012). The Marital Counseling Center, Inc. (MCC) thinks that the high divorce rate in the state may require them to hire additional staff. Working with a consultant, the management of MCC has developed the following probability distribution for x 5 the number of new clients for marriage counseling for the next year
x f(x)
10 .05
20 .10
30 .10
40 .20
50 .35
60 .20
a. Is this probability distribution valid?
A. Yes
B. No
Explain.
f(x) greater than or equal to 0less than or equal to 0greater than or equal to 1less than or equal to?
f(x) equal to 1not equal to 1greater than 1less than 1Item 3
b. What is the probability MCC will obtain more than 30 new clients (to 2 decimals)?
c. What is the probability MCC will obtain fewer than 20 new clients(to 2 decimals)?
d. Compute the expected value and variance of x.
Expected value clients per year
Variance squared clients per year
Business
1 answer:
liubo4ka [24]3 years ago
3 0

Answer:

Kindly check explanation

Explanation:

Given the data:

x___ f(x)

10__ 0.05

20__0.10

30__0.10

40__0.20

50__0.35

60__0.20

a. Is this probability distribution valid?

Yes

Σf(x) = (0.05 + 0.10 + 0.10 + 0.20 + 0.35 + 0.20) = 1

0≤f(x)≤1

b. What is the probability MCC will obtain more than 30 new clients

X = 40 + x = 50 + x = 60

0.20 + 0.35 + 0.20 = 0.75

c. What is the probability MCC will obtain fewer than 20 new clients

x = 10

f(x) = f(10) = 0.05

d)Compute the expected value and variance of x.

Expected value (E(x)) :

Σ(x * f(x))

= (10*0.05) + (20*0.1) + (30*0.1) + (40*0.2) + (50*0.35) + (60*0.2)

= 43

Σ(x * E(x))² * f(x)

= (10 - 43)^2 * 0.05 + (20 - 43)^2 * 0.1 + (30 - 43)^2 * 0.1 + (40 - 43)^2 * 0.2+ (50 - 43)^2 * 0.35 + (60 - 43)^2 * 0.2

= 201

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For 2019, Skresso Co. reported $1.82 of earnings per share of common stock. During 2020, the firm had a 4% common stock dividend
mart [117]

Answer:

$1.75

Explanation:

Earnings per share to be reported = Earnings per share of commo stock * (1 - 4%)

Earnings per share to be reported = $1.82 * 96%

Earnings per share to be reported = $1.7472

Earnings per share to be reported = $1.75

So, the 2019 earnings per share to be reported in the annual report for 2020 are $1.75.

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Exercise 10-2 Straight-Line: Amortization of bond discount LO P2 Tano issues bonds with a par value of $180,000 on January 1, 20
Nitella [24]

Answer:

bonds' face value $180,000

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the journal entry to record the issuance of the bonds:

January 1, 2017, bonds issued at a discount

Dr Cash 170,862

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the amortization of the bond discount should be $9,138 / 6 = $1,523 on every coupon payment.

Journal entry to record payment of first coupon:

June 30, 2017, first coupon payment

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6 0
3 years ago
"To meet the customer's investment objective of tax advantaged income, the BEST recommendation is for the customer to:"
marishachu [46]

Customer Name: Jack and Jill Customer

Ages: 62 and 57

Marital Status: Married - 39 years

Dependents: None

Occupations: Jack - Manufacturing Manager - Dyno-Mite Corp.

Jill - Marketing Consultant - Self Employed

Household Income: $140,000 Joint Income

($100,000 for Jack and $40,000 for Jill)

Net Worth: $1,100,000 (excluding residence)

Own Home: Yes $420,000 Value, No Mortgage

Investment Objectives: Income / Tax Advantaged

Risk Tolerance: Moderate

Investment Time Horizon: 25 years

Investment Experience: 30 years

Tax Bracket: 30%

Current Portfolio Composition: Cash in Bank: $30,000

Growth Fund: $50,000

Variable Annuity: $50,000

Growth Stocks: $150,000

Retirement Accounts:

Jack's IRA: $100,000 invested in growth stocks

Jack's 401(k): $600,000 invested in Dyno-Mite Corp. stock

Jack's 529 Plan for Grandchild: $20,000 in growth mutual fund

To meet the customer's investment objective of tax advantaged income, the BEST recommendation is for the customer to:

A. immediately liquidate the entire Dyno-Mite position and invest the proceeds in high yield bonds

B. set a minimum and maximum threshold price to liquidate as much of the Dyno-Mite stock as the customer will permit, and invest the proceeds in high yielding common and preferred stocks

C. liquidate the IRA without penalty since Jack is past age 59 1/2, and use the proceeds to buy corporate income bonds

D. consider early retirement, since Jack is old enough to receive Social Security as a means of supplementing income

Answer:

B. set a minimum and maximum threshold price to liquidate as much of the Dyno-Mite stock as the customer will permit, and invest the proceeds in high yielding common and preferred stocks

Explanation:

Given that, the customer has a "moderate" risk tolerance level and dividend income is at the moment taxed at the preferential rate of 15%, therefore, it is expected that investments in high yielding common and preferred stocks will meet the customer's objective of tax-advantaged income.

Hence, the right answer is Option B. set a minimum and maximum threshold price to liquidate as much of the Dyno-Mite stock as the customer will permit, and invest the proceeds in high yielding common and preferred stocks

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A point M on a segment with endpoints (-1, 1) and ( 7, 7) partitions the segment in a 3:5 ratio. Find M. You must show all work
HACTEHA [7]

The coordinates of point M after the partition is (2, 3.25).

<h3>What are coordinates and how to determine coordinates?</h3>
  • A coordinate system in geometry is a system that uses one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

We have:

  • Endpoints = (-1,1) and (7,7)
  • Ratio, m : n = 3 : 5

The coordinates of point M is then calculated using:

M=\frac{1}{m+n} *(mx_{2}+nx_{1} , my_{2} +ny_{1} )

So, we have:

M=\frac{1}{3+5} * (3*7+5*-1,3*7+5*1)

Evaluate the sum and the product:

M=\frac{1}{8} *(16,26)

Evaluate the product:

M=(2,3.25)

The coordinates of point M is (2, 3.25)

Therefore, the coordinates of point M after the partition is (2, 3.25).

Know more about coordinates here:

brainly.com/question/17206319

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The Puyer Corporation makes and sells only one product called a Deb. The company is in the process of preparing its Selling and
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Shipping $ 1.46 *15,600= 22,776
Executive salaries $ 60,600
Depreciation on office equipment $ 20,600
Other $ 40,600
Total= $159,552
8 0
3 years ago
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