5.1 Part 1
the numerical outcome of a probability experiment
What is a Random Variable?
μx =∑ [x ∙ p(x)]
What is the Mean of a Random Variable?
The curve used to describe the distribution of a continuous random variable
What is the probability density curve?
describes the individuals that make up the population, i.e., how the individuals spread around the mean
What is the Population Distribution?
N(p,√(p(1-p))/n))
What is the Central Limit Theorem for Proportions?
What is a Discrete Variable?
σ2x =∑ [(x−μx)2 ∙ p(x)]
What is the Variance of a Random Variable?
percentage in decimal form
What is proportion?
describes how a statistic varies in many samples of the population, i.e. how the sample means all fall around the population mean
What is a Sampling Distribution?
p̂
What is sample proportion?
What is a Continuous Variable?
σx = √σ2x
What is the Standard Deviation of a Random Variable?
The mean, median, and mode are all the same value. The Empirical Rule is applicable.
What is a Normal Curve?
For all samples of the same size n with n > 30, the sampling distribution of x can be approximated by a normal distribution with mean μ and standard deviation σ / √n
What is the Central Limit Theorem?
it specifies the probability for each possible value of a Random Variable
What is a Probability Distribution?
a histogram in which the height of each bar is the probability
What is the Probability Histogram?
N(μ, σ)
What is the notation for the Normal Curve?
σ/√n
What is the standard error?
#1: 0 ≤ P(A) ≤ 1
#2: Σ P(A) = 1
What is the General Rule?
finding the probability that an event occurs at least once in several independent trials
What are "At Least One" Problems?
The inverse of the normal cumulative distribution function
What is the Inverse Norm?
N(μ, σ/√n )
What is the equation for the normal sampling distribution?