Change the saturation, brightness, contrast, and apply special video effects to customize your DVD movies. Fixed a crash in StarEdit when attempting to save modified Blizzard maps.

I am dedicating this to my high-school teacher, Mr. I still remember finding the answer through some awkward method, just like the rest of the class did.

Only after simplifying the result did it occur to me that there should be an easy solution. Give it a fair shot before peeking! It's also the number of ways an n-sided convex polygon can be triangulated using only nonintersecting diagonals.

For a random sample of spacers, find the probability that: None of the spacers are defective. Three or more of the spacers are defective.

Adding the above three results, we see that 2 or less spacers are defective with a probability of about Therefore, 3 or more are defective with a probability of about In a sample of n spacers, the average number of bad spacers is n times the probability of a bad spacer.

As usualobserve that "2 children have the same birthday" when 3, 4, or 5 do If we assume each kid has one of equiprobable birthdays, it's easier to compute the probability that they all have different birthdays: Now, let's bring leap years and February 29 into the picture. We may even afford the luxury of using the full Gregorian calendar century years are not leap years except when divisible by ; was a leap year, was not.

This is appropriate only when we do not know at what time the family lived for a 20th or 21st century family the Julian odds of exactly one leap year in 4 are more appropriate since was a leap year.

The Julian probability of having one's birthday on Feb. To this, we should add the probability that at least 2 kids were born on Feb. That's exactly chances in To summarize, the desired probability is about: Does this result apply to 5 siblings?

No, it does not. Heck, it doesn't even apply to a random group of real people, because maternity wards are notoriously busier at certain times of the year Various additional statistical biases apply to siblings. One major observation is that twins are not so rare, especially among large families.

A minor observation is that the same woman cannot give birth in March and June of the same year For completeness, two people born on the same day of the same year may have the same mother, even if they're not twins.

As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality. Without loss of generality, we'll assume that the variance of U is 1.

How do you work this out? If n independent random samples are either equal to 1 with probability p or to 0 with probability 1-pthe sum of their values is a random variable which is said to have a binomial distribution; its average is np and its variance is np 1-p.

The standard deviation is the square root of this, roughly 7. The explanation for this simple formula repays study.

To obtain a binomial distribution both in theory and in practiceyou may consider the sum Y of n independent random variables X1, X2,THE VOYAGES OF DOCTOR DOLITTLE.

illustrated by the author BY HUGH LOFTING.

To Colin and Elizabeth. CONTENTS I will promise to teach him reading and writing and perhaps a little arithmetic as well. their shops and taken a holiday. All the farmers from round Page about, and all the townsfolk, were there with their Sunday clothes on. Probability of a subset in a finite set.

Counting and weighing all possibilities to find the likelihood of various events. The craze culminated in a front-page article of the Sunday New York Times, on July 21, A number of people just could not believe the above answer was correct (they were wrong). Instead of writing 1´2´3´4´.

NEW YORK (AP) — A group claiming some Orthodox Jewish yeshivas don't teach enough reading, writing and arithmetic sued New York state on Monday to force change.

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Do not spend too much time reading the RC passages. Focus on the questions; pick the confusing options and analyse them carefully. Also, try to read all the passages and omit the difficult qns rather than leave out entire passages.

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