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kenny6666 [7]
3 years ago
14

A department store sells refrigerators from four manufacturers: 40% from Company A, 25% from Company B, 15% from Company C, and

the rest come from Company D. Suppose 10% of the refrigerators from Company A, 20% from Company B, 5% from Company C, and 25% from company D last more than 15 years.
(a) What is the probability that a refrigerator purchased from this department store lasts more than 15 years?
(b) If a refrigerator purchased from this department store lasts more than 15 years, what is the probability that it was made by Company B?
Business
1 answer:
Rufina [12.5K]3 years ago
5 0

Answer:

A: 0.1475 , B: 0.3389

Explanation:

a. Probability Refrigerator purchased from store lasts more than 15 years :

Prob(refrigerator purchase from A) and Prob(refrigerator from A life > 15 years) + .........Prob(refrigerator purchase from D) and Prob(refrigerator from D life >15 years)

(0.40x0.1)+(0.25x0.20)+(0.15x0.05)+(0.20x0.25) = 0.04+0.05+0.0075+0.05 = 0.1475  

b. Refrigerator last > 15 years given , Probability it is from B :

[ Prob (B Purchase) . Prob (life > 15, given from B) ] / Prob (Life > 15)

P (B/15) = [P(B).P(15/B)]  / [P15]          {Bayes Theorum}

= [(0.25)(0.20)] / 0.1475  = 0.05 / 0.1475

= 0.3389

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Juanita makes $42 an hour at work. She has to take time off work to purchase her skirt, so each hour away from work costs her $4
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Explanation:

Answer:

It will puchase the skirt across town as it has the less economic cost.

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8 0
2 years ago
On January 1, 20Y8, Crabb &amp; Co. sold land to ASP, Inc. and accepted a two-year, $500,000 face value note as payment. 6% inte
jeka94

Answer:

1. Discount

2. $449,298.47

3. $369,298.47 gain

4. land reduces by $80,000, investment increases by $449,298.47, reserves increases by $369,298.47

Explanation:

Question 1

Using the formula below

Price=\frac{I_{1}}{1+r} +\frac{I_{2}+F}{(1+r)^{2}}

where

I = interest rate, which is 6% of 500,000 = 30,000

F = Face value, 500,000

r = borrowing cost = 12%

Therefore, the price of the note at the time it was used for payment was

Price=\frac{30,000}{1.12} +\frac{30,000+500,000}{(1.12)^{2}}

= $449,298.47.

As the price is lower than the face value of the note, the note was issued at a discount.

Question 2

The fair market value of the note is $449,298.47, the compute price in question 1.

Question 3

The gain/loss on the sale of the land

= sale price - purchase price

= $449,298.47 - 80,000

= $369,298.47.

Question 4

The transaction would affect Crabb & Co's balance sheet as follows.

<em>Asset side:</em>

land reduces by $80,000

investment increases by $449,298.47

<em>Equity & liabilities side:</em>

reserves increases by $369,298.47

3 0
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