Enter your PIN: The technology company DataGenetics suggests that 17.8 % of all four-digit personal identification...

Enter your PIN: The technology company DataGenetics suggests that 17.8 % of all four-digit personal identification numbers, or PIN codes, have a repeating digits format such as 2525. Assuming this to be true, if the PIN codes of nine people are selected at random, what is the probability that at least one of them will have repeating digits? Round your answer to four decimal places. The probability that at least one of the codes will have repeating digits is

Solutions

Expert Solution

Solution: Let x be the number of codes having repeating digits. Then the random variable x follows the binomial distribution with n = 9 and p = 0.178.

We are required to find:

We know that:

Now using the binomial probability formula, we have:

Therefore, the probability that at least one of the codes will have repeating digits is 0.8287

orchestra answered 1 year ago

Next > < Previous

Related Solutions

using Permutations (nPr) solve: 1. The city plans to upgrade its Personal Identification Number (PIN) for...

using Permutations (nPr) solve: 1. The city plans to upgrade its Personal Identification Number (PIN) for each of its employees. The PIN will consist of 7 characters defined, in three independent categories, as follows: • The first two characters are uppercase letters, no letter to be repeated. • The next three characters are digits, no digit to be repeated. • the last two characters are letters (uppercase or lowercase), but no letter is to be repeated. For example, aA is...

1a. An ATM requires a four-digit PIN, using the digits 0-9. How many PINs have no...

1a. An ATM requires a four-digit PIN, using the digits 0-9. How many PINs have no repeated digits? 1b. How many ways can president and vice president be determined in a club with twelve members? 1c. A security team visits 12 offices each night. How many different ways can the team order its visits? 1d. In a certain lottery you select seven distinct numbers from 1 through 39, where order makes no difference. How many different ways can you make...

A company wants to transmit data over the telephone, but is concerned that its phones could be tapped. All of the data are transmitted as four-digit integers.

A company wants to transmit data over the telephone, but is concerned that its phones could be tapped. All of the data are transmitted as four-digit integers. The company has asked you to write a program that encrypts and decrypts the data so that it can be transmitted more securely. Your program should read a four-digit integer and encrypt it as follows: Replace each digit by (the sum of that digit plus 7) modulus 10. Then, swap the first...

Think of four examples in your organization or from your personal life, or a combination of...

Think of four examples in your organization or from your personal life, or a combination of both, that demonstrate the following: Present Value (PV) of a lump sum Future Value (FV) of a lump sum Present Value (PV) of an annuity Future Value (FV) of an annuity Explain your examples, including why they are relevant to your organization and/or personal life. Provide a rationale for interest or discount rates used in your examples.

Assume you are the global marketing manager for an Irish technology company that wants to enter...

Assume you are the global marketing manager for an Irish technology company that wants to enter the Chinese market. Assess the political, legal, and regulatory issues your company must consider. Determine if your company should proceed with entering the Chinese market. Explain.

Discuss if any of your credit or debit cards or personal documents embedded with RFID technology?...

Discuss if any of your credit or debit cards or personal documents embedded with RFID technology? If so, what precautions will you take to block the signals from scanners? (PLEASE DO NOT HAND WRITE ANSWER)

Find financial statements for Samsung Technology enter the company symbol go to menu on left side...

Find financial statements for Samsung Technology enter the company symbol go to menu on left side of screen go to financial results go to financial ratios Complete a ratio analysis for that company's last year's financial data. At a minimum, list and discuss the company performance vs. its industry average for these 4 ratios: Profit as percent of sales Current ratio Debt to equity ratio ROE Comment on the following: How do these ratios depict the financial health of this...

Give Channel Design Decisions covering all four tasks for:  FMCG  Apparel  Personal electronics....

Give Channel Design Decisions covering all four tasks for:  FMCG  Apparel  Personal electronics.  Speciality goods Please take into consideration the Principles of marketing (Distribution Channel Strategy) to answer the very question.

1.Your Username for your company computer is three letters followed by five single digit numbers. The...

1.Your Username for your company computer is three letters followed by five single digit numbers. The Letters can be repeated but the digits cannot be repeated. Find total possible number of usernames for your company"s computer system. 2.If a pair of fair dice is rolled find following probability that a number other than seven or eleven is rolled such that it is given that one of the two die is a two or a four.? 3.It is estimated that 2%...

Choose an information technology and develop a business case for implementing the technology in your company...

Choose an information technology and develop a business case for implementing the technology in your company (or a publicly traded company). This should be written as a memo to your upper management. Be sure to include the following: A brief background on the company. What does it do, company size, where does it fit in the overall industry, financial situation, etc. What is the generic strategy (e.g, cost leader, differentiator, focus) the company is pursuing? Note, this real strategy might...

Subjects