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2-92. An optical storage device uses an error recovery procedure that requires an immediate satisfactory readback of any written data. If the readback is not successful after three writing operations, that sector of the disk is eliminated as unacceptable for data storage. On an acceptable portion of the disk, the probability of a satisfactory readback is 0.98. Assume the readbacks are independent. What is the probability that an acceptable portion of the disk is eliminated as unacceptable for data storage 2-93. A batch of 500 containers for frozen orange juice contains 5 that are defective. Two are selected, at random, without replacement, from the batch. Let A and B denote the events that the rst and second container selected is defective, respectively. (a) Are A and B independent events (b) If the sampling were done with replacement, would A and B be independent

In some examples, we do not have a complete table of information such as the parts in Table 2-3. We might know one conditional probability but would like to calculate a different one. In the semiconductor contamination problem in Example 2-22, we might ask the following: If the semiconductor chip in the product fails, what is the probability that the chip was exposed to high levels of contamination From the de nition of conditional probability, P1A B2 P1A B2P1B2 P1B A2 P1B A2P1A2

This is the root pattern for all enterprise security concerns. It helps resolve the issue of whether security is really needed and, if it is, what properties of security should be applied for a particular enterprise. Security properties considered include confidentiality, integrity, availability, and accountability.

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All of these values are a little higher than the upper range of estimates reported in the WAIS-III Manual, and substantially higher than the mean values estimated in the manual The subtests that yield the Verbal IQ took 51 minutes to administer, and the Performance subtests took about 11 minutes less The Verbal Comprehension and Perceptual Organization indexes were nearly identical in their administration times (27 and 26 minutes, respectively), and the Working Memory and Processing Speed Indexes took the least amount of time to administer (16 and 7 minutes, respectively) Table 61 lists the administration time of each of the WAIS-III individual subtests The most lengthy subtests to administer were Vocabulary (M = 14 minutes) and Comprehension (M = 121 2 minutes), followed by Block Design (M = 12 minutes) and Picture Arrangement (M = 101 2 minutes).

(2-11)

These four subtests were also the most lengthy to administer on the WAIS-R (Ryan & Rosenberg, 1984a; Ward, Selby, & Clark, 1987) Thus, in contrasting estimates of WAIS-III administration times from the WAIS-III manual to those of Ryan et al s (1998) clinical population, it appears that the times from the standardization sample may not generalize to a clinical.

EXAMPLE 2-29

A new wing of a museum of gemstones is to be opened. The museum has significant previous experience handling gems, and theft is a large enough risk for the museum to want protection from the unauthorized removal of any gems. The museum also has information about the collections, and employee information, that should be protected from damage or deletion, and in some cases should be kept confidential. How can the museum determine the assets that need security protection, and which types of protection

We can answer the question posed at the start of this section as follows: The probability requested can be expressed as P1H 0 F2. Then, P1H F2 P1F H2P1H2 P1F2 0.1010.202 0.0235 0.85

population There are a number of possible explanations for these differences Although many of the VA patients ultimately had IQs falling in the Average range (M Full Scale IQ = 9431), the 61% of the patients who had Full Scale IQs 90 took approximately 14 minutes longer to complete the three IQs than the patients who had Full Scale IQs 89 In addition to IQ level, patient characteristics such as severity of illness, ability to concentrate, and level of cooperation were also likely some of the variables that affected the differences in administration times between this clinical sample and the standardization sample Experimenter variables such as level of experience, tendency to query verbal responses, and fluidity with the testing materials may also influence the administration time Finally, administration times in the WAIS-III manual may be underestimates of the actual administration times.

The value of P(F) in the denominator of our solution was found in Example 2-20. In general, if P(B) in the denominator of Equation 2-11 is written using the Total Probability Rule in Equation 2-8, we obtain the following general result, which is known as Bayes Theorem.

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