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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich
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Solved: PIN pad shipments. Personal identification number

Chapter 3, Problem 18E

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QUESTION:

Problem 18E

PIN pad shipments. Personal identification number (PIN) pads are devices that connect to point-of-sale electronic cash registers for debit and credit card purchases. Refer to The Nilson Report (Oct. 2008) listing of the volume of PIN pad shipments by manufacturers worldwide, Exercise 2.7 (p. 49). Recall that for the 12 manufacturers listed in the table, a total of 334,039 PIN pads were shipped. Suppose you randomly select one of these PIN pads and identify the manufacturer.

Manufacturer

Number Shipped (units)

Bitel

13,500

CyberNet

16,200

Fujian Landi

119,000

Glintt (ParaRede)

5,990

Intelligent

4,562

KwangWoo

42,000

Omron

20,000

Pax Tech.

10,072

ProvencoCadmus

20,000

SZZT Electronics

67,300

Toshiba TEC

12,415

Urmet

3,000

Source: Data from The Nilson Report, No. 912, October 2008 (p. 9).

a. Find the probability that the PIN pad is shipped by either Fujian Landi or SZZT Electronics.

b. Suppose that 1,000 of the PIN pads shipped were found to be defective. Find the probability that the PIN pad selected is one of the defectives.

Questions & Answers

QUESTION:

Problem 18E

PIN pad shipments. Personal identification number (PIN) pads are devices that connect to point-of-sale electronic cash registers for debit and credit card purchases. Refer to The Nilson Report (Oct. 2008) listing of the volume of PIN pad shipments by manufacturers worldwide, Exercise 2.7 (p. 49). Recall that for the 12 manufacturers listed in the table, a total of 334,039 PIN pads were shipped. Suppose you randomly select one of these PIN pads and identify the manufacturer.

Manufacturer

Number Shipped (units)

Bitel

13,500

CyberNet

16,200

Fujian Landi

119,000

Glintt (ParaRede)

5,990

Intelligent

4,562

KwangWoo

42,000

Omron

20,000

Pax Tech.

10,072

ProvencoCadmus

20,000

SZZT Electronics

67,300

Toshiba TEC

12,415

Urmet

3,000

Source: Data from The Nilson Report, No. 912, October 2008 (p. 9).

a. Find the probability that the PIN pad is shipped by either Fujian Landi or SZZT Electronics.

b. Suppose that 1,000 of the PIN pads shipped were found to be defective. Find the probability that the PIN pad selected is one of the defectives.

ANSWER:

Solution

Step1 of 3:

      Given the 12 manufactures are listed in the given table.  

Manufacturer

Number Shipped (units)

Bitel

13,500

CyberNet

16,200

Fujian Landi

119,000

Glintt (ParaRede)

5,990

Intelligent

4,562

KwangWoo

42,000

Omron

20,000

Pax Tech.

10,072

ProvencoCadmus

20,000

SZZT Electronics

67,300

Toshiba TEC

12,415

Urmet

3,000

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