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insens350 [35]
3 years ago
15

In the field of quality control, the science of statistics is often used to determine if a process is "out of control". Suppose

the process is, indeed, out of control and 20% of items produced are defective. (a) If three items arrive off the process line in succession, what is the probability that all three are defective? (b) If four items arrive in succession, what is the probability that three are defective?
Business
1 answer:
devlian [24]3 years ago
4 0

Answer:

probability = 0.008

probability = 0.0256

Explanation:

we know here probability of defective is 0.2

so probability of not defective is 1 - 0.2 = 0.8

as we know 3 item is arrive off process line in succession

so The probability that an item is defective is

as P(defective) = 0.20

as all item are independent so

probability that all three items are defective is

probability = 0.20  × 0.20  × 0.20 = 0.008

and

probability that exactly 3 of next 4 are defective

so number of way that can choose 3 out of 4 is

= \frac{4!}{3! ( 4-3)!}

= 4

so as all are independent probability is

probability = ( the number of way to choose 3 out of 4 ) × ( 3 item defective ) × ( 1 item not defective )

probability = _4 C_3 × 0.2³ × ( 1- 0.2)

probability = 4 × 0.008 × 0.8

probability = 0.0256

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Depreciation in accounting refers to two different aspects of the same idea: first Depreciation is the process of reallocating, or "writing down," the cost of a tangible item (such as equipment) over the course of that asset's useful life.

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6 0
1 year ago
The IMF has: a. helped support some weaker European countries during the recent financial crisis. b. been very helpful in monito
Ann [662]

Answer:

The correct answer is letter "A": helped support some weaker European countries during the recent financial crisis.

Explanation:

The International Monetary Fund (IMF) is a U.S. based part of the United Nations (UN) agency that promotes international economic prosperity by cooperating with least-favored nations to reduce their unemployment rates. The fund has 189 members and had a vital contribution in the Western European economic recovery after their recent financial crisis as a consequence of unemployment, drop of purchasing power and public debt.

5 0
3 years ago
holdup bank has an issue of prefered stock witha standard deviation of $7 that just sold for $87 per share. What is the banks co
alisha [4.7K]

Answer: 8.05%

Explanation:

From the question, we are informed that Holdup bank has an issue of prefered stock witha stated dividend of $7 that just sold for $87 per share.

The banks cost of prefered will be:

= Dividend / Stock value

= 7/87

= 0.0805

= 8.05%

6 0
3 years ago
You are thinking of purchasing a home. The house costs $300,000. You have $43,000 in cash that you can use as a down payment on
Anna35 [415]

Answer:

Annual payment= $3,250.77

Explanation:

Giving the following information:

You are thinking of purchasing a home. The house costs $300,000. You have $43,000 in cash that you can use as a down payment on the house, but you need to borrow the rest of the purchase price. The bank is offering a 30-year mortgage that requires annual payments and has an interest rate of 6% per year.

FV= 300,000 - 43,000= $257,000

i=6%

n= 30

Annual payment= ?

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (257,000*0.06)/{[1.06^30]-1}= $3,250.77

3 0
3 years ago
produces sports socks. The company has fixed expenses of $ 80 comma 000 and variable expenses of $ 0.80 per package. Each packag
Lemur [1.5K]

Answer:

Instructions are below.

Explanation:

Giving the following information:

Unitary variable expenses= $ 0.80

Selling price per unit= $ 1.60

First, we need to calculate the unitary contribution margin:

Unitary contribution margin= selling price - unitary variable cost

Unitary contribution margin= 1.6 - 0.8

Unitary contribution margin= $0.8

Now, the contribution margin ratio:

contribution margin ratio= contribution margin / sellig price

contribution margin ratio= 0.8/1.6

contribution margin ratio= 0.5

7 0
3 years ago
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