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How do you find z score in first quartile?

Provided the distribution is Normal, the z-score is the value such that the probability of observing a smaller value is 0.25. Thus z = -0.67449


What is the probability of obtaining a z-score less than 0.50?

It is 0.6915


What is the probability of rolling a pair of dice and obtaining a total score of 9 or greater?

It is 5/18.


How do you calculate probability when mean and standards deviation are given?

To calculate probability when the mean and standard deviation are given, you typically utilize the properties of the normal distribution. First, convert your value of interest (X) into a z-score using the formula ( z = \frac{(X - \mu)}{\sigma} ), where ( \mu ) is the mean and ( \sigma ) is the standard deviation. Once you have the z-score, you can use a standard normal distribution table or calculator to find the probability corresponding to that z-score. This gives you the likelihood of obtaining a value less than or equal to X.


What is the probability of rolling a pair of dice and obtaining a total score greater than 9?

It is 1/12.


What is the probability of rolling a pair of dice and obtaining a total score of 9 or more?

It is 10/36 = 5/18


What is the probability that a randomly selected case from a normally distributed distribution will have a score between -1.00 and the mean?

The answer is 0.1586


What is the probability that a data value in a normal distribution is between a z-score of -1.98 and a z-score of 1.11 Round your answer to the nearest tenth of a percent?

It is 84.3%


What is the relationship between the Z-score for Normal Distribution and Continuous Probability?

There is no real relationship. Probabilities for the Normal distribution are extremely difficult to work out. The z-score is a method used to convert any Normal distribution into the Standard Normal distribution so that its probabilities can be looked up in tables easily. There are infinitely many types of continuous probability distributions and the Normal is just one of them.


What does a z score of -4 indicate?

It means that your raw score is four standard deviations below the mean. This will mean different things depending on the context of the question. If you're looking at the probability of a single score occurring in a given distribution (say, a score of 40 in a distribution of scores with a mean of 80 and a std. dev. of 10), then this means that the probability of getting a 40 is very, very low--less than .00002.


Define p-value vs - z score?

The p-value is the probability of any event or the level of significance for any statistical test. The z-score is a transformation applied to a Random Variable with any Normal distribution to the Standard Normal distribution.


What is the probability of randomly selecting a score from a normal distribution with a value greater than z equals -2?

Pr(Z > -2) = 97.725%