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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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The following were selected from among the transactions completed by Babcock Company during November of the current year:
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Answer:

Babcock Company

Journal Entries:

Nov. 3:

Debit Inventory $63,750

Credit Accounts Payable (Moonlight Co.) $63,750

To record the purchase of merchandise, terms FOB, destination, 2/10, n/30.

Nov. 4:

Debit Cash $37,680

Credit Sales Revenue $37,680

To record the sale of merchandise for cash.

Nov. 4:

Debit Cost of Goods Sold $22,600

Credit Inventory $22,600

To record the cost of merchandise sold.

Nov. 5:

Debit Inventory $47,500

Credit Prepaid Freight-in $810

Credit Accounts Payable (Papoose Creek Co.) $46,690

To record the purchase of merchandise, terms, FOB shipping point, 2/10, n/30

Nov. 6:

Debit Accounts Payable (Moonlight Co.) $13,500

Credit Inventory $13,500

To record the return of merchandise.

Nov. 8:

Debit Accounts Receivable (Quinn Co.) $15,600

Credit Sales Revenue $15,600

To record the sale of merchandise on account, terms n/15.

Nov. 8:

Debit Cost of Goods Sold $9,400

Credit Inventory $9,400

To record the cost of merchandise sold.

Nov. 13:

Debit Accounts Payable (Moonlight Co.) $50,250

Credit Cash Discount $1,005

Credit Cash $49,245

To record the payment on account.

Nov. 14:

Debit VISA account $236,000

Credit Sales Revenue $236,000

To record the sale of merchandise on VISA.

Nov. 14:

Debit Cost of Goods Sold $140,000

Credit Inventory $140,000

To record the cost of merchandise sold.

Nov. 15:

Debit Accounts Payable (Papoose Creek Co.) $46,690

Credit Cash Discount $934

Credit Cash $45,756

To record the payment on account.

Nov. 23:

Debit Cash $15,600

Credit Accounts Receivable (Quinn Co.) $15,600

To record the receipt of cash on account.

Nov. 24:

Debit Accounts Receivable (Rabel Co.) $56,900

Credit Sales Revenue $56,900

To record the sale of merchandise on account, terms 1/10, n/30.

Nov. 24:

Debit Cost of Goods Sold $34,000

Credit Inventory $34,000

To record the cost of goods sold.

Nov. 28:

Debit VISA Service Fee $3,540

Credit Cash $3,540

To record the payment of VISA service Fee.

Nov. 30:

Debit Sales Returns $6,000

Credit Cash $6,000

To record the cash refund for returned merchandise.

Nov. 30:

Debit Inventory $3,300

Credit Cost of Goods Sold $3,300

To record the cost of inventory returned.

Explanation:

The above journal entries initially record the transactions of Babcock Company in November.  Here, the accounts involved in each transaction are identified, debited, and credited as the case may be.

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