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Aloiza [94]
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 people

(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 = the number of new clients for marriage counseling for the next year.
West Virginia has one of the highest divorce rates

a. Is this probability distribution valid?
SelectYesNoItem 1

Explain.

f(x) Selectgreater than or equal to 0less than or equal to 0greater than or equal to 1less than or equal to 1Item 2
?f(x) Selectequal 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:
Alex17521 [72]3 years ago
8 0

Answer:

a. Yes. It is a probability density function because \sum f(x) =1

. b. probability MCC will obtain more than 30 new clients=P(40)+P(50)+P(60)= 0.20+0.35+0.20=0.75

c. probability MCC will obtain fewer than 20 new clients= P(10)= 0.05

d.

x f(x) x*f(x) x*x*f(x)

10 0.05 0.5 5

20 0.1 2 40

30 0.1 3 90

40 0.2 8 320

50 0.35 17.5 875

60 0.2 12 720

1 43 2050

expected value = \sum xf(x) = 43

Variance = 2050-43^2= 201

Explanation:

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Bobbi and Stuart are partners. The partnership capital of Bobbi is $41,400 and that of Stuart is $74,700. Bobbi sells his intere
Romashka-Z-Leto [24]

Answer:

c. John's capital account for $41,400

Explanation:

Based on this information it can be said that in this scenario the journal entry to record the admission of John as a new partner would include a credit to John's capital account for $41,400. This is mainly because even though Bobbi sold his interest for $63,900 his actual interest capital in the partnership was that of $41,400 .... meaning that John now holds a partnership capital of $41,400 and the Bobbi profited $22,500

4 0
3 years ago
X Company has two production departments, A and B. The following is budgeted information for all of its products in 2019, and ac
Zina [86]

Answer:

Explanation:

Overhead allocated to Product X = Department A overhead cost+ Department B overhead cost

=  $51,157.84+$5755.62=

= $56,913

Calculations:

Using a single-driver allocation system, with direct labor hours as the driver, how much overhead was allocated to Product X:

Department A's Overhead rate per labor hour = Overhead costs/Total direct labor hours  = $4300000/60000 hours = $71.66 per hour

Overhead (Department A) = $71.66per hour*724 labor hours

= $51,157.84

Department B's Overhead rate per labor hour = Overhead costs/Total direct labor hours  = $2200000/60000 hours = $36.66 per hour

Overhead (Department A) = $36.66 per hour*157 labor hours

= $5755.62

6 0
3 years ago
Life insurance companies tend to invest in long-term assets such as loans to manufacturing firms to build factories or to real e
andriy [413]

Answer:

The answers are:

  1. automobile insurers
  2. life insurance companies
  3. a life insurance policy
  4. longer
  5. longer-term

Explanation:

When a company may need money in a short notice (like auto insurers), they will need to make liquid investments. That means that they can turn their investments into cash very rapidly. Since T-bills are traded all the time, they are very liquid investments, although they aren't very lucrative investments.

On the other hand, companies that know that they will not be needing a lot money promptly (life insurance), can afford to invest in projects with a longer life span that can be more profitable also. Usually liquid investments have smaller rates of return, while long term investments have higher rates of return.

4 0
2 years ago
List two types of discounts and explain how they work for consumers.
Aleks04 [339]

Answer:

Early settlement Discount: It is offered to customer to encourage them to pay earlier than the payment date.

Bulk Discount: If the customer buys over a certain quantity, he will get a discount.

4 0
2 years ago
Consider the case of the Henderson Company.
sashaice [31]

Answer:

I) Days sales outstanding (DSO) for all customers?      48.7days

= (53*0.9)+(10*0.1) = 48.7 days

II) Net sales?                                                                  $166.600

The Net sales = Gross sales - sales allowance  

The discount amount due for the 10% discount customers = 2% of the 10% of 170 mn ==>  0.02 * 0.1 * 170 ===> 0.34 mn

∴ The Net sales = 17 - 0.34 mn = 16.66 mn

   Amount paid by discount customers?                     $13.600

Explanation:

I. General Credit Policy Information

  Credit stamps                                                               2/10 Net 30

  Days sales outstanding (DSO) for all customers    48.7days

  DSO for customers who take the discount (10%)      10days

  DSO for customers who forgo the discount (90%)    53days

II. Annual Credit Sales and Costs ($ millions)

  Gross sales                                                                 $170.000

  Net sales?                                                                   $166.600

  Amount paid by discount customers                      $13.600

  Amount paid by non discounted customers           $153.000

 Variable operating costs (82% of gross sales)         $139.40

 Bad debts                                                                    $0.0

 Credit evaluation & collection costs (10% of gross sales) $17.00

7 0
3 years ago
Read 2 more answers
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