Exam 6: Probability, Probability Distributions, and an Introduction to Inferential Statistics

The question "What is the probability of a child being in school or the child offending?" is an example of ______.

A binominal distribution has a variable that ______.

Events that have only two possible outcomes are called Bernoulli Events

The following equation, $P(A \text { or } B)=P(A)+P(B)-P(A \text { and } B)$ , represents ______.

In a normal distribution, a z-score of at least $\pm$ 1.96 is indicative of a rare event because it occurs 5% of the time or less

The bounding rule of probabilities state that ______.

Probability can be defined as ______.

For every normal distribution, .6826 (68.26%) of the are under the curve lies between the mean and a point that is one standard deviation to the right and one standard deviation to the left of the mean.

The larger a sample is the more imprecise the estimates are.

Which rule of probability states that for two non-mutually exclusive events the probability of each event occurring is equal to the sum of their separate probabilities minus the probability of their joint occurrences?

When the joint probability of two events occurring is zero, the two events are said to be ______.

The following equation. $P(r)=\left[\frac{n !}{r !(n-r) !} p^{r} q^{n-r}\right]$ , can be used to determine the probability of any number of successes, r, so long as there are only two outcomes-success(p) and failure(q). This is also called the ______.

The restricted addition rule of probabilities relates to ______.

For every normal distribution, .9544 (95.44%) of the are under the curve lies between the mean and a point that is two standard deviations to the right and two standard deviations to the left of the mean

The following equation, $P(A \text { or } B)=P(A)+P(B)$ , represents ______.

The following equation, $P(A \text { and } B)=P(A)^{*} P(B \mid A)$ , represents ______.

Which rule of probability states that for two mutually exclusive events the probability of each event occurring is equal to the product of their separate probabilities?

For every normal distribution, .9974 (99.74%) of the are under the curve lies between the mean and a point that is three standard deviations to the right and is three standard deviations to the left of the mean

If an infinite number of random samples of size n are drawn from any population with mean µ and standard deviation σ, then as the sample size (n) becomes large, the sampling distribution of sample means will approach normality even if the population distribution is not normally distributed is known as the ______.

State and describe the three characteristics of the sampling distribution of the mean based on the Central Limit Theorem