Questions from Applied Statistics

Q: Software to detect fraud in consumer phone cards tracks the number of

Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is found that 1% of the legitimate users originate calls from two or more me...

Q: Consider the hospital emergency room data in Example 2.6.

Consider the hospital emergency room data in Example 2.6. Use Bayes’ theorem to calculate the probability that a person visits hospital 4 given they are LWBS. Data from Example 2.6:...

Q: Suppose that a patient is selected randomly from those described in Exercise

Suppose that a patient is selected randomly from those described in Exercise 2.4.11. Let A denote the event that the patient is in group 1, and let B denote the event that there is no progression. Det...

Q: Two Web colors are used for a site advertisement. If a

Two Web colors are used for a site advertisement. If a site visitor arrives from an affiliate, the probabilities of the blue or green colors being used in the advertisement are 0.8 and 0.2, respective...

Q: An encryption–decryption system consists of three elements: encode,

An encryption–decryption system consists of three elements: encode, transmit, and decode. A faulty encode occurs in 0.5% of the messages processed, transmission errors occur in 1% of the messages, and...

Q: A recreational equipment supplier finds that among orders that include tents,

A recreational equipment supplier finds that among orders that include tents, 40% also include sleeping mats. Only 5% of orders that do not include tents do include sleeping mats. Also, 20% of orders...

Q: An e-mail filter is planned to separate valid e-

An e-mail filter is planned to separate valid e-mails from spam. The word free occurs in 60% of the spam messages and only 4% of the valid messages. Also, 20% of the messages are spam. Determine the f...

Q: A credit card contains 16 digits. It also contains the month

A credit card contains 16 digits. It also contains the month and year of expiration. Suppose there are 1 million credit card holders with unique card numbers. A hacker randomly selects a 16-digit cred...

Q: The following circuit operates if and only if there is a path

The following circuit operates if and only if there is a path of functional devices from left to right. The probability that each device functions is as shown. Assume that the probability that a devic...

Q: The following circuit operates if and only if there is a path

The following circuit operates if and only if there is a path of functional devices from left to right. The probability that each device functions is as shown. Assume that the probability that a devic...