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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 does the z score of 1.3 mean?

It means that there is a probability of 0.0968 that an observation as extreme as this occurred purely by chance.

What is needed to develop a bionomial probability distribution?

A number of independent trials such that there are only two outcomes and the probability of "success" remains constant.

What is the z score of 70.00?

There is insufficient information for us to answer this question. Please edit the question to include more context or relevant information. It would also be useful to develop the habit of checking your questions for completeness before posting them.Calculation of a z-score requires information on the mean and standard error of the variable for which the z-score is to be calculated.

Can a probability distribution be a mutually exclusive listing of the outcomes of an experiment which can occur by chance and the corresponding probabilities of occurrance?

Not quite. The listing must also be exhaustive: it must contain all possible outcomes.

For the roll of a fair cubic die, consider the following:

Prob(1) = 1/6

Prob(2) = 1/6


This is a mutually exclusive listing of the outcomes of the experiment and the corresponding probabilities of occurrence but it is not a probability distribution because it does not include all possible outcomes. As a result, the total of the listed probabilities is less than 1.


What is the probability of getting 5 out of 6 True false questions correct?

The answer should depend on how well you know the topic! It also depends on whether you have enough intelligence to make at least some informed guesses.

But assuming you do not have that basic intelligence and are still doing the questions by simply guessing, the probability is 0.0938

How do you solve if you throw a 6 sided die 84 times how many time would you expect 4 to come up?

If it is a fair die, the probability of throwing a 4 in a single go is 1/6. That is, you expect to get a 4 in 1/6 of the throws. So for 84 throws you would expect to get a 4 in 84*(1/6) = 14 times.

What is the probability of rolling two even numbers on two number cubes?

1/2 or 50%

Answer:

If the question means rolling even numbers on each at the same time (which it appears to) then the previous answer is incorrect.

There's a 50% chance on each die of getting an even number, but since we require them to occur together the individual probabilities are multiplied, giving 25%.

This is easy to illustrate:

Die 1 Die 2

Odd Odd

Odd Even

Even Odd

Even Even

In only 1 of the four possibilities does evens come up on both.

What sample size is sufficient for stat?

A sample size of one is sufficient to enable you to calculate a statistic.

The sample size required for a "good" statistical estimate will depend on the variability of the characteristic being studied as well as the accuracy required in the result. A rare characteristic will require a large sample. A high degree of accuracy will also require a large sample.

What is the probaility of drawing a 10 from a standard deck?

number of cards that are 10 =4

number of cards in a standard deck =52

Probability of drawing a 10 =4/52 = 1/13

When to you use a z scores or t scores?

If the distribution is Gaussian (or Normal) use z-scores. If it is Student's t, then use t-scores.

What is the difference between simple random sampling and systematic random sampling?

simple random sample is to select the sample in random method but systematic random sample is to select the sample in particular sequence (ie 1st 11th 21st 31st etc.)

• Simple random sample requires that each individual is separately selected but systematic random sample does not selected separately.

• In simple random sampling, for each k, each sample of size k has equal probability of being selected as a sample but it is not so in systematic random sampling.

How do you write an answer to a probability question?

Probability questions are not all the same so there is not a single kind of answer: it depends on the nature of the question!