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By using the multiline and global ags, the same expression can match multiple times, even though the source text spans across several lines.

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The dotall ag, s, changes the behavior of the dot metacharacter. When the ag is not set, the dot (.) matches any character but a newline character. When the ag is set, the dot (.) matches every possible character including newlines. You can think of this mode as single-line mode because that evokes s much better than dotall and because it can be used to treat a string with multiple lines as one long string that happens to have \n characters in it. With the s ag on and the m ag off, the regular expression no longer maintains the illusion that the input string is partitioned into lines. You can see the dotall ag s effect in the following snippet:

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3-123. Each main bearing cap in an engine contains four bolts. The bolts are selected at random, without replacement, from a parts bin that contains 30 bolts from one supplier and 70 bolts from another. (a) What is the probability that a main bearing cap contains all bolts from the same supplier (b) What is the probability that exactly three bolts are from the same supplier 3-124. Assume the number of errors along a magnetic recording surface is a Poisson random variable with a mean of one error every 105 bits. A sector of data consists of 4096 eight-bit bytes. (a) What is the probability of more than one error in a sector (b) What is the mean number of sectors until an error is found

var lines:String = "hello,\n cruel world!"; trace(lines.match(/hello.*world/)); //null trace(lines.match(/hello.*world/s)); //hello, // cruel world

3-125 An installation technician for a specialized communication system is dispatched to a city only when three or more orders have been placed Suppose orders follow a Poisson distribution with a mean of 025 per week for a city with a population of 100,000 and suppose your city contains a population of 800,000 (a) What is the probability that a technician is required after a one-week period (b) If you are the first one in the city to place an order, what is the probability that you have to wait more than two weeks from the time you place your order until a technician is dispatched 3-126 From 500 customers, a major appliance manufacturer will randomly select a sample without replacement The company estimates that 25% of the customers will provide useful data.

The rst match() in this snippet operates on the assumption that you don t want your pattern to match across line breaks unless you explicitly include a line break character. The second match() allows anything to be in the .* subpattern, even newlines.

If this estimate is correct, what is the probability mass function of the number of customers that will provide useful data (a) Assume that the company samples 5 customers (b) Assume that the company samples 10 customers 3-127 It is suspected that some of the totes containing chemicals purchased from a supplier exceed the moisture content target Samples from 30 totes are to be tested for moisture content Assume that the totes are independent Determine the proportion of totes from the supplier that must exceed the moisture content target so that the probability is 090 that at least one tote in the sample of 30 fails the test 3-128 Messages arrive to a computer server according to a Poisson distribution with a mean rate of 10 per hour Determine the length of an interval of time such that the probability that no messages arrive during this interval is 0.

90 3-129 Flaws occur in the interior of plastic used for automobiles according to a Poisson distribution with a mean of 002 flaw per panel (a) If 50 panels are inspected, what is the probability that there are no flaws (b) What is the expected number of panels that need to be inspected before a flaw is found (c) If 50 panels are inspected, what is the probability that the number of panels that have one or more flaws is less than or equal to 2.

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