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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
To absolutely guarantee that at least two people were born on the same date you would need 367 people.
However with 29 people the odds would be approaching unity but it does not guarantee this will be the case.
When would it be appropriate to use theoretical probability?
When you know for sure that the data you are trying to describe has a well-known theoretical probability distribution.
For example, you 'know' from past experience that the heights of a certain age group in a school is normally distributed.
Give the probability of rolling a number less than 5 on a roll of die?
Prob(less than 5 on a roll of a die) = 4/6 = 2/3
In your own words describe the standard normal distribution?
The standard normal distribution is a special case normal distribution, which has a mean of zero and a standard deviation of one.
The probability is 5/36.
It depends on whether the hypothesis concerns the mean or the standard error (or variance) or something else.
What percent of a deck of52 cards jack queen king would be a face card?
100% of the jacks, queens, and kings, and a 52 card deck are face cards. Conversely, 100% of the face cards in a 52 card deck are jacks, queens, and kings.
What is the theoretical probability that tossing 3 coins will all match?
The probability that the second coin matches the first is 0.5 .
The probability that the third coin matches the first is 0.5 .
The probability that the second and third coins both match the first is (0.5 x 0.5) = 0.25 = 25%
What is the probability of throwing 6 sixes with three dice?
zero as you only have 3 dice, with the number 6 on them only once on each dice. so if you are lucky you can only throw 6 3 times using 3 dice.
What are the rules for Blackjack?
The basic rules are, you get two cards and the dealer gets two cards. Whichever hand is closer to 21 without going over, wins. After you get your first two cards, you can take additional cards if you choose, until you decide to stop, or until you "bust" which means you go over 21.
1/3
Is A negative z score is unusual?
In general, the answer is no, both negative and positive z score values should be expected. A z-score (or standardize score) is the raw data value minus the mean and then this result divided by the standard deviation. If the data can be considered normally distributed and a random sample is taken from a population, then as the sample size becomes large, approximately half the z-scores should be negative and half of the z-scores should be positive. There are some exceptions. Small data sets may have only positive values. A non-normal (skewed) distribution if skewed to the right, may have, after normalizing, may have a higher portion of z scores as positives.
The answer will depend on what the distribution is! And since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.
Where do we use Gaussian distribution?
It is used when there are a large number of independent, identically distributed variables.
18/20 x 17/19 x 16/18 = 4896/6840, or around 71.6%.
What are the odds of rolling five ones with five dice?
The odds of rolling 5 ones is 1/6 *1/6 *1/6 *1/6 *1/6 = 1/7776
A score of 0.60 standard deviation represents what score of percentile?
It depends on the underlying distribution. If Gaussian (standrad normal) then the percentile is 77.
