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Probability

The probability of a certain event is a number expressing the likelihood that a specific event will occur, expressed as the ratio of the number of actual occurrences to the number of possible occurrences. In mathematics, it is a measure of how often an event will happen and is the basis of statistics.

14,643 Questions

What kind of distribution is a standard z distribution?

It is the normalised Gaussian distribution.

To speak of a 'standard z' distribution is somewhat redundant because a z-score is already standardised. A z-score follows a normal or Gaussian distribution with a mean of zero and a standard deviation of one. It's these specific parameters (this mean and standard deviation) that are considered 'standard'. Speaking of a z-score implies a standard normal distribution.

This is important because the shape of the normal distribution remains the same no matter what the mean or standard deviation are. As a consequence, tables of probabilities and other kinds of data can be calculated for the standard normal and then used for other variations of the distribution.

When looking at 2 possible events how do you calculate the probability?

are they dependent or independent? define success and failure for the 2 events. probability of success (EX: drawing a face card) = number of possible successes / total possible events. Multiply the two separate probabilities to get the probability that both occur.

When rolling two dice what are the odds of getting both dice to land on even numbers?

1 in 4.

Your choices are to have an odd or even total, which is a 1 in 2 chance.

In order to get an even number, you have to have both die even or odd. So that cuts the 1 in 2 in half, giving you a 1 in 4 chance of both dice being even. (1 in 2 for even times 1 in 2 both even gives you 1 in 4.)

What is the probability of picking 2 aces from a standard deck?

(4 in 52) times (3 in 51) or (12 in 2652) or (1 in 221) or about 0.004525.

What does probability mean statistically?

It is the likelihood of any particular event occurring.

How many 7-letter words can be formed from the letters of the word Marble if each letter must start with M?

I assume that a letter may occur more than once. There are 6 letters in the word 'Marble.' The first letter 'must' be M. The second letter may be chosen in 6 ways. The third, fourth, fifth and the sixth may be chosen in 6 ways. There are 6 to the power 5 = 7,776 words.

If the letters cannot repeat:

The first letter is always 'M.' The second letter may be chosen in 5 ways. The third in four ways, the fourth in 3 ways, the fifth is 2 ways and the sixth in 1 way.

5x4x3x2x1 = 120 words with first letter M.

Where can you find information about two rifles marked P Stevens 1875 and P Stevens 1876?

I believe these are Swiss military rifles and the numbers are the years of manufacture. Beyond that, I know nothing and there is nothing in any of my reference books. You could try posting your question on the pre-1898 firearms board at http://www.antiqueguns.com/. You might also try to find a copy of Military Rifles of the World at your local library. I wouldn't expect them to be worth too much. There probably aren't a lot of them available, but since there seems to be even less written about them only a very few specialized collectors will be interested (or even know about them).

Why is Judaism so much smaller numerically than the other two religions?

Lots of reasons. One is that Judaism doesn't believe in encouraging people to convert. If someone wants to convert to Judaism, they're welcome to (although discouraged at first), but Judaism has no mass programs to get people to convert. Nor did it usually have forced conversions like the other religions did. Another reason is that Jews have been heavily persecuted over the years and many were killed.

If you roll a regular 6-sided cube 1200 times about how many times will you get 4?

1200x(1/6)=200*

*It is very likely it will be very close to this result, but it is very unlikely for it to be exactly 200.

What are the two types of probability?

Probability is generally split into theoretical and experimental.

In Excel what function will give you an estimate of the value of a continuous random variable if you know the probability of that variable?

There are infinitely many continuous probability functions and there is no information whatsoever in the question to determine the nature of the distribution: uniform, Normal, Student's t, Chi-square, Fisher's F, Gamma, Beta, Lognormal, etc, etc.

Second, every continuous function must have at least two points for which the probability is the same. There is no information as to which of these two (or more) points is the relevant one.

There can therefore be no answer.