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Be careful with .*. This pattern is greedy and can eat more of the input text than you desire. With s on, it can eat its way across lines and to the end. You can be more cautious with a lazy pattern. The next section, Constructing Advanced Expressions, explains lazy and greedy patterns.

3-130. Derive the mean and variance of a hypergeometric random variable (difficult exercise). 3-131. Show that the function f (x) in Example 3-5 satisfies the properties of a probability mass function by summing the infinite series. 3-132. Derive the formula for the mean and standard deviation of a discrete uniform random variable over the range of integers a, a 1, p , b. 3-133. A company performs inspection on shipments from suppliers in order to defect nonconforming products. Assume a lot contains 1000 items and 1% are nonconforming. What sample size is needed so that the probability of choosing at least one nonconforming item in the sample is at least 0.90 Assume the binomial approximation to the hypergeometric distribution is adequate. 3-134. A company performs inspection on shipments from suppliers in order to detect nonconforming products. The company s policy is to use a sample size that is always 10% of the lot size. Comment on the effectiveness of this policy as a general rule for all sizes of lots. 3-135. Surface flaws in automobile exterior panels follow a Poisson distribution with a mean of 0.1 flaw per panel. If 100 panels are checked, what is the probability that fewer than five panels have any flaws 3-136. A large bakery can produce rolls in lots of either 0, 1000, 2000, or 3000 per day. The production cost per item is $0.10. The demand varies randomly according to the following distribution: demand for rolls probability of demand 0 0.3 1000 0.2 2000 0.3 3000 0.2

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The extended ag, x, is included in an attempt to mitigate the general illegibility of regular expressions. Making dense, amazingly complex regular expressions that do the same work as dozens of

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Every roll for which there is a demand is sold for $0.30. Every roll for which there is no demand is sold in a secondary market for $0.05. How many rolls should the bakery produce each day to maximize the mean profit 3-137. A manufacturer stocks components obtained from a supplier. Suppose that 2% of the components are defective and that the defective components occur independently. How many components must the manufacturer have in stock so that the probability that 100 orders can be completed without reordering components is at least 0.95

lines of code is, I can vouch, rewarding, but when it comes time to explain your code to someone else or even to remember what you wrote six months ago, you might see the other edge of this sword. The extended ag lets you mitigate regex clutter by adding whitespace anywhere in the expression, which will not be literally interpreted unless it is escaped. When the ag is off, a space in a regular expression means match a space in the source text in this position : The whitespace is taken literally. Unfortunately, adding whitespace can do only so much for the understandability of your expressions. It s a good idea to brie y say what an expression does in a comment adjacent to it when the expression is complicated:

IMPORTANT TERMS AND CONCEPTS In the E-book, click on any term or concept below to go to that subject. Bernoulli trial Binomial distribution Cumulative probability distribution functiondiscrete random variable Discrete uniform distribution Expected value of a function of a random variable Finite population correction factor Geometric distribution Hypergeometric distribution Lack of memory property-discrete random variable Mean-discrete random variable Mean-function of a discrete random variable Negative binomial distribution Poisson distribution Poisson process Probability distributiondiscrete random variable Probability mass function Standard deviationdiscrete random variable Variance-discrete random variable

//find these complete words that rhyme with base: space, trace, race. var rhymes:RegExp = /\b (tr|r|sp|b) a (c|s) e \b/gix;

4-1 4-2 4-3 4-4 4-5 4-6

CONTINUOUS RANDOM VARIABLES PROBABILITY DISTRIBUTIONS AND PROBABILITY DENSITY FUNCTIONS CUMULATIVE DISTRIBUTION FUNCTIONS MEAN AND VARIANCE OF A CONTINUOUS RANDOM VARIABLE CONTINUOUS UNIFORM DISTRIBUTION NORMAL DISTRIBUTION

Retro tting the rhyme example with whitespace makes it a tad more legible. A comment helps more. Table 12-5 recaps the regular expression ags that ActionScript 3.0 supports.

NORMAL APPROXIMATION TO THE BINOMIAL AND POISSON DISTRIBUTIONS CONTINUITY CORRECTION TO IMPROVE THE APPROXIMATION (CD ONLY) EXPONENTIAL DISTRIBUTION

TABLE 12-5

4-10 ERLANG AND GAMMA DISTRIBUTIONS 4-10.1 Erlang Distribution 4-10.2 Gamma Distribution 4-11 WEIBULL DISTRIBUTION 4-12 LOGNORMAL DISTRIBUTION

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