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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 probability that a parent carrying a dominant trait will pass that trait on to each child?

The probability that a parent carrying a dominant trait will pass that trait on is a 50% chance with each pregnancy

When rolling a pair of dice how many ways can you get a sum of 1?

count the number of times you get number 1, when you roll a pair of dice..

cheerio

What z score represents the 80th percentile?

To find what z-score represents the 80th percentile, simply solve for 0.8 = F(z), where F(x) is the standard normal cumulative distribution function. Solving gives us:

z = 0.842

Probability of drawing a 10 o r the 6 of diamonds?

Presuming a standard 52 card deck, you have 5 cards in that deck which satisfy your requirement.

Therefore the probability of getting one of those cards is 5/52.

What are the median and mode of a normal distribution if the mean is 22 and the standard deviation is 4?

The mean, median, and mode of a normal distribution are equal; in this case, 22. The standard deviation has no bearing on this question.

How do you solve for the 90th percentile in a normal distribution when with a mean of 100 and a standard deviation of 16?

If you have a TI-83:

Press [2nd] [DISTR] [3], and then type in ".9, 100, 16)" <- Note the closing parenthesis.

Hit enter and it will give you an answer.

If you have a TI-89:

Press [APPS], then scroll to locate the one called Stats/List Editor (you may only be able to see "Stats/List E". Press [ENTER] to select that app, press [ENTER] again, then press [F5] [2] [1]. For Area, enter .9; for µ, enter 100; and for σ, enter 16. Press [ENTER] again to get your answer.

Hope this helps :).

Can you have a probability greater than one?

No. Probability ranges from zero, meaning the event will not happen, to one, meaning the event will happen.

What is the total area under the normal distribution curve?

The area under the normal distribution curve represents the probability of an event occurring that is normally distributed. So, the area under the entire normal distribution curve must be 1 (equal to 100%).

For example, if the mean (average) male height is 5'10" then there is a 50% chance that a randomly selected male will have a height that is below or exactly 5'10". This is because the area under the normal curve from the left hand side up to the mean consists of half of the entire area of the normal curve.

This leads us to the definitions of z-scores and standard deviations to represent how far along the normal curve a particular value is. We can calculate the likelihood of the value by finding the area under the normal curve to that point, usually by using a z-score cdf (cumulative density function) utility of a calculator or statistics software.

If the spinner is spun twice what is the probability that the arrow will stop on an even number both times?

It depends on how many points there are that the spinner can land on. If there are 8, for example, the probability would be 8/16, or 1/2...

What is the probability of flipping a quarter and getting heads and rolling a die and getting a 6?

The probability of flipping a quarter and getting heads is 1 in 2. the probability of rolling a die and getting 6 is 1 in 6.

What is the chance of rolling a 6 twice in a row on a die?

The chance of rolling a 6 twice in a row, on a six-sided die, is 1 in 36 or 2.78%.

The number of possible different results for rolling a six-sided die twice is 6 squared (6 times 6), or 36, therefore the probability of getting any one of the possible results is 1 out of 36.

Probability of drawing a diamond?

The probability of drawing a diamond from a standard deck of 52 cards is 13 in 52, or 1 in 4, or 0.25.

Why the sample should be normally distributed?

The sample should not be normally distributed.

If you have a population of size N from which a random sample of size n is to be drawn, then there are NCn possible samples. Each one of these must have the same probability of being thesample. That is, the sample is uniformly distributed - not Normally.

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