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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 statistical symbol for population standard deviation?

It is the lower case Greek letter sigma. I cannot show it here because this browser converts it to the Roman letter s, but the Greek one looks like an o with a tilde attached to its top.

Does a random largely selected sample always give a better estimate of the population than a randomly selected sample?

A larger random sample will always give a better estimate of a population parameter than a smaller random sample.

Why variance is bigger than standard deviation?

The variance is standard deviation squared, or, in other terms, the standard deviation is the square root of the variance. In many cases, this means that the variance is bigger than the standard deviation - but not always, it depends on the specific values.

How is the term probability related to genetics?

The term probability is related to genetics because they both give guesses about how something that might be the outcome of something

What is prior classical probability?

When you throw a die, there are six possibilities. The probability of a number from 1 to 6 is 1/6. This is classical probability. Compare this with empirical probability. If you throw a die 100 times and obtain 30 sixes, the probability of obtaining a 6 is 30/100 or 0.3. Empirical probabilities change whereas classical probability doesn't.

Does this means that all symmetric distribution are normal Explain?

Don't know what "this" is, but all symmetric distributions are not normal. There are many distributions, discrete and continuous that are not normal. The uniform or binomial distributions are examples of discrete symmetric distibutions that are not normal. The uniform and the beta distribution with equal parameters are examples of a continuous distribution that is not normal.

The uniform distribution can be discrete or continuous.

What is the probability of a month of January having 5 Sundays?

If a 31-day month starts on a Friday, Saturday or Sunday it will have 5 Sundays; if not it will have 4. So the probability is 3/7.

What is the definition of probability in math?

Probability is the likelihood that some particular event will occur. It is expressed as a number between 0 and 1, where 0 means the event will not occur, and 1 means the event will occur. Values in between 0 and 1 indicate the relative likelihood, i.e. "probability", that the event will occur.

For instance, the probability of tossing heads on a fair coin toss is 0.5, the probability of rolling a 3 on a standard die is 1 in 6, or about 0.1667, and the probability of drawing an ace of spades from a standard deck of 52 cards is 1 in 52 or about 0.01923.

What is the probability of the spinner landing on a different color each time?

Assuming the spinner has only a finite number of colours, the probability is 0. If there are n colours then on the (n+1)th spin the spinner cannot land on a different colour.

Which on of the following is not a valid probability a 0.025 b 3 7 c 4 3 d 0.875?

It is a bit difficult to be sure because, thanks to limitations of the browser used for posting questions, there are no symbols between the numbers in b and c. However, if we assume that the missing symbols are the "divided by" symbol (since nothing else makes sense in the context of this question), then the answer is c.

4/3 is greater than 1 and a probability cannot be greater than 1.

How the symmetric distribution is always normal?

The statement is false. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.

What are the values of 45 57 0 and 3 if the mean is 30 and the standard deviation is 15?

The question is incorrect since the mean of 45 57 0 and 3 is not 30. And the value of 45 is 45, whatever its mean when combined with other numbers. Similarly, the value of 57 is 57, whatever its mean when combined with other numbers; etc.

What is the probability of randomly selecting a three-child family with exactly two girl children?

2/6 is not accurate. using a theoretical method for equally likely outcomes, there are 2 possible outcomes for each birth: either a boy(B), or a girl (G). For a family of three children, the total number of possibilities (birth orders) is 2*2*2=8 to double check this work, here are the eight possible outcomes:

BBB, BBG, BGG, GBB, GBG, GGB, and GGG. You want EXACTLY two girls, this assumes that the other must be a boy. Therefore, the probability that a three child family has 2 girls one boy is P(2 girls)=3/8=0.375

How much error between sample mean and population mean?

The answer depends on the underlying variance (standard deviation) in the population, the size of the sample and the procedure used to select the sample.

What is the volume of a six sided dice?

it all depends on the length the width and the height. if you know those then just add them all up and you will have the volume.