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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 is the meaning of a 99.9 percent confidence interval?

99.9 CI means that there is a 99.9% chance the CI limits contains the value you are looking for.

A binomial distribution has a mean of 12 and a standard deviation of 2.683 find n and p?

There is not enough information to find n & p. The mean is n*p and the std dev = sqrt (n*p*q). You have to be given n, p or q to have 2 equations 2 unknowns to solve.

A committee of seven people is to be chosen from twelve married couples.How many ways can a committee containing no married couple be chosen?

If there are 12 couples there's 24 people total, 12 males and 12 females.

There are 24 choices for the first person.
Once the first person is picked there are only 22 choices for the second person (because you can't pick the first person or their spouse.)
For the third person there are 20 choices.
For the fourth person there are 18 choices.
The fifth has 16 choices, the sixth has 14 choices, and the seventh has 12 choices.

Therefore there are 24 x 22 x 20 x 18 x 16 x 14 x 12 = 510935040 ways total.

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The above calculation assumes that order of selection matters. If the order doesn't matter (i.e., if you're looking for combinations rather than permutations), then the above result needs to be divided by 7!=5040. 510935040/540= 946176 possible combinations.

Calculating var through mean and standard deviation?

Assuming var is variance, simply square the standard deviation and the result is the variance.

Find two consecutive integers whose sum is 35?

17 and 18

I found this by dividing 35 by 2, which gives you 17.5. The nearest integers on either side are 17 and 18.

How many permutations are there word mathematics?

The number of permutations of the letters MATHEMATICS is 11 factorial or 39,916,800. However, since the M is repeated once you must divide by 2. You must also divide by 2 because the A is repeated once. And again for the T. This results in an overall distinct permutation count of 4,989,600.

What is in process sampling?

In-process sample is considered as, in order to move forward from one process step to the next.

here is an example:

During the process after mixing of a solution the nd Condu. measurement should be X.X to X.X before one can start to transfer the solution to next step.

To draw some volume to test the pH and Condu. sample would be considered in-process sample measurement.

If two twelve side fair dice are rolled what it the probability that the total number of spots shown is equal to 5?

If two twelve side fair dice are rolled, there are 144 possible outcomes. Of those 144 outcomes, there are four (1-4, 2-3, 3-2, and 4-1) that add up to five, So the probability of rolling a sum of five is 4 in 144, or 1 in 36.

If you rolled a number cube ten times and got a 6 twice what is the experimental probabilityof rolling a 6?

If this is a homework assignment, please consider trying to answer it yourself first, otherwise the value of the reinforcement of the lesson offered by the assignment will be lost on you.

If a number cube (die) contains the numbers 1, 2, 3, 4, 5, and 6, and the cube is fair, then the probability of rolling a 6 is 1 in 6. If you roll the cube 10 times, you would expect to get 6's 10 / 6, or about 2 times. However, 10 trials is not a lot of trials, so the experimental outcome might not match the theoretical probability. In this case, the experimental probability matched the theoretical probability, but that is simply chance. If you repeat the experiment, so you will probably not get the same results.

What is the difference between assessment and measurement?

An assessment is more of a judgmental evaluation of someone's performance. A measurement should be a non-judgmental account of how a person has performed, perhaps in comparison with past performance.

How can you tell an earthworm's head from its tail?

Well you put it onto the floor and wait till it moves and the part that moves first is the head.