Stats Chapter 4 Vocabulary

an experiment with the following characteristics:
1. There are only two possible outcomes called success and failure for each trial
2. The probability p of a success is the same for any trial (so the probability q = 1 − p of a failure is the same for any trial)

• binomial experiment

• geometric experiment

• hypergeometric experiment

• Bernoulli trials

a statistical experiment that satisfies the following three conditions:
1. There are a fixed number of trials, n
2. There are only two possible outcomes, called success and, failure, for each trial; the letter p denotes the
probability of a success on one trial, and q denotes the probability of a failure on one trial
3. The n trials are independent and are repeated using identical conditions

• Bernoulli trials

• binomial experiment

• geometric experiment

• hypergeometric experiment

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

a discrete random variable (RV) that arises from Bernoulli trials; there are a fixed
number, n, of independent trials
Independent means that the result of any trial (for example, trial one) does not affect the results of the following
trials, and all trials are conducted under the same conditions. Under these circumstances the binomial RV X is
defined as the number of successes in n trials. The notation is: X ~ B(n, p). The mean is μ = np and the standard
deviation is σ = npq . The probability of the following exactly x successes in n trials is
P(X = x) = (n)p^xq^n-x
(x)

• binomial probability distribution

• geometric distribution

• Poisson probability distribution

• hypergeometric probability

expected arithmetic average when an experiment is repeated many times; also called the mean;
notations μ; for a discrete random variable (RV) with probability distribution function P(x),the definition can also be written in the form μ =∑ xP(x)

• standard deviation of a probability distribution

• the law of large numbers

  
  

• expected value

• mean of a probability distribution

a discrete random variable (RV) that arises from the Bernoulli trials; the trials are repeated until the first success.
The geometric variable X is defined as the number of trials until the first success. Notation X ~ G(p). The mean is μ=1/p and the standard deviation is σ = square root (1/p)(1/p)-1.
The probability of exactly x failures before the first success is
given by the formula
P(X = x) = p(1 - p)x - 1

• mean of a probability distribution

• Poisson probability distribution

• probability distribution function (PDF)

• geometric distribution

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

a statistical experiment with the following properties:
1. There are one or more Bernoulli trials with all failures except the last one, which is a success
2. In theory, the number of trials could go on foreve; there must be at least one trial
3. The probability, p, of a success and the probability, q, of a failure do not change from trial to trial

• geometric experiment

• hypergeometric experiment

• Bernoulli trials

• binomial experiment

Tags

CCSS.HSS.CP.A.3

a discrete random variable (RV) that is characterized by the following:
1. The experiment uses a fixed number of trials.
2. The probability of success is not the same from trial to trial
We sample from two groups of items when we are interested in only one group. X is defined as the number of successes out of the total number of items chosen. Notation X ~ H(r, b, n), where r = the number of items in the
group of interest, b = the number of items in the group not of interest, and n = the number of items chosen.

• probability distribution function (PDF)

• Poisson probability distribution

• hypergeometric probability

• binomial probability distribution

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

a statistical experiment with the following properties:
1. You take samples from two groups
2. You are concerned with a group of interest, called the first group
3. You sample without replacement from the combined groups
4. Each pick is not independent, since sampling is without replacement
5. You are not dealing with Bernoulli trials

• geometric experiment

• binomial experiment

• hypergeometric experiment

• Bernoulli trials

a number that measures the central tendency; a common name for mean is average
The term mean is a shortened form of arithmetic mean. By definition, the mean for a sample (denoted by x mean) is mean x = (Sum of all values in the sample)/(Number of values in the sample) and the mean for a population (denoted by μ) is μ = (Sum of all values in the population)/(number of values in the population.

• the law of large numbers

• mean of a probability distribution

• standard deviation of a probability distribution

• mean

Tags

CCSS.6.SP.A.3

the long-term average of many trials of a statistical experiment

• the law of large numbers

• expected value

• mean of a probability distribution

• mean

Tags

CCSS.6.SP.B.5C