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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

A frequency distribution is a way to describe numerical data categorically?

Frequency distribution a mathematical function showing the number of instances in which a variable takes each of its possible values.

False

If a coin is flipped 5 times and a head comes up 3 times what is the relative frequency of a head coming up?

A frequency count is a measure of the number of times that an event occurs. To compute relative frequency, one obtains a frequency count for the total population and a frequency count for a subgroup of the population. ... Thus, a relative frequency of 0.50 is equivalent to a percentage of 50%.

0.60 or 60 percent.

What is likely to result from the event referred to in the headline?

the representatives will realize that campaign funding is an issue important to the people he represents

In a confidence interval what information does the margin of error provide?

The confidence interval consists of a central value and a margin of error around that value. If it is an X% confidence interval then there is a X% probability that the true value of the statistic in question lies inside the interval. Another way of looking at it is that if you took repeated samples and calculated the test statistic each time, you should expect X% of the test statistics to fall within the confidence interval.

How many ways can 12 books be arranged on the shelf?

Assuming that you mean how many ways there are to order the placing them on the shelf in a left-to-right order and exclude whether they are placed the right way up, on their spine, upside down, in piles, etc, then:

12 choices for the first book, 11 for the second, and so on until 1 for the last giving:

12 × 11 × ... × 1 = 479,001,600 ways.

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For a given integer, the product of that integer and all integers less than it greater than 1 (in the above case 12 × 11 × ... × 1) is known as the factorial of that number and is written as the number followed by an exclamation mark:

3! = 3 × 2 × 1 = 6

12! = 12 × 11 × ... × 1 = 479,001,600

Zero factorial (0!) is defined to be 1.

If a person purchases 15 of 3000 tickets sold in a raffle that awards one prizewhat is the probability that this person not win?

The chances of winning would be 15/3000 or 1 in 200 (or 0.5%). That means the probability of NOT winning is 99.5 %

If the standard deviation is doubled what will be the effect on the confidence interval?

The confidence intervals will increase. How much it will increase depends on whether the underlying probability model is additive or multiplicative.