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For both humans and computers, calculating dates requires knowledge of how our systems of measurement work ActionScript 30 knows all these rules and lets you manipulate times and dates in their common units, rather than simply as a raw number There is one class in ActionScript 30 that represents a single moment in time, including both time and date information This is the Date class..

Clearly, all sequences that consist of the same numbers of E s, G s, F s, and P s have the same probability. Consequently, the requested probability can be found by multiplying 2.708 10 9 by the number of sequences with 14 E s, three G s, two F s, and one P. The number of sequences is found from the CD material for 2 to be 20! 14!3!2!1! Therefore, the requested probability is , , , P114E s, three G s, two F s, and one P2 232560012.708 10 9 2 0.0063 2325600

Example 5-12 leads to the following generalization of a binomial experiment and a binomial distribution.

Let s start using Dates by creating one that represents right now, or more precisely, the instant in which the Date object was created. The default use of the Date constructor will do just this.

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Fine-grained control over task placement. In some applications, the location of certain types of functionality is predetermined. For instance, consider an in-building climate control system that is monitored from some central station. Besides the in-network sense-and-response functionality, periodic status reports could be forwarded to the central station that is also abstracted as a sensor node. Now, the location and/or identifier of this supervisor node are

Suppose a random experiment consists of a series of n trials. Assume that (1) The result of each trial is classi ed into one of k classes. (2) The probability of a trial generating a result in class 1, class 2, p , class k is constant over the trials and equal to p1, p2, p , pk, respectively. (3) The trials are independent. The random variables X1, X2, p , Xk that denote the number of trials that result in class 1, class 2, p , class k, respectively, have a multinomial distribution and the joint probability mass function is P1X1 for x1 x2 x1, X2 p xk x2, p , Xk n and p1 xk 2 p2 n! x p x1 p x2 p p k k x1!x2 ! p xk! 1 2 p pk 1. (5-13)

var now:Date = new Date();

The multinomial distribution is considered a multivariable extension of the binomial distribution. EXAMPLE 5-13 In Example 5-12, let the random variables X1, X2, X3, and X4 denote the number of bits that are E, G, F, and P, respectively, in a transmission of 20 bits. The probability that 12 of the bits received are E, 6 are G, 2 are F, and 0 are P is P1X1 12, X2 6, X3 2, X4 02 20! 0.6120.360.0820.020 12!6!2!0! 0.0358

The Date constructor is one of the more versatile constructors in ActionScript 3.0. With it, you can construct not just Dates for right now, but Dates representing any point in time you pass in. You can send the Date constructor a series of values for the year, month, day of the month, hour, minute, second, and millisecond to represent. You must include at minimum two of these parameters at least the year and month and all others will default to zero (the stroke of midnight the rst day of the month), as shown in Example 7-2. EXAMPLE 7-2

Each trial in a multinomial random experiment can be regarded as either generating or not generating a result in class i, for each i 1, 2, . . . , k. Because the random variable Xi is the number of trials that result in class i, Xi has a binomial distribution.

var bday:Date = new Date(1981, 4, 12); // May 12, 1981 var timeOfWriting:Date = new Date(2009, 5, 29, 22, 25); // Mon Jun 29 22:25:00 GMT-0400 2009

If X1, X2, . . . , Xk have a multinomial distribution, the marginal probability distribution of X i is binomial with E1Xi 2 EXAMPLE 5-14 npi and V 1Xi 2 npi 11 pi 2 (5-14)

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