Representations of Data
The formula for finding the height of each bar in a histogram. Also, state what you label the vertical axis.
What is frequency density = frequency/class width?
The sum of the probabilities of all of the outcomes to an event must be ____. Probability must lie between __ and __ inclusive.
What is 1; 0, 1?
The two parameters of the binomial distribution
What is n [number of trials] and p [probability of success]?
The formula for calculating the Z score.
What is z = (x - µ)/σ?
The formula for interquartile range.
What is IQR = Q3 - Q1?
When asked to tabulate a probability distribution table, you draw ___.
What is ___?
The four qualifications for a binomial model.
What is
two options (success/failure)
fixed numbers of trials
trials are independent (don't affect each other)
constant probability
Be sure to relate it to the context of the problem?
When solving any normal distribution question, what is one thing that you are hesitant to do but would help you solve the problem.
What draw the curve?
The formula for the mean of coded data.
What is _______________?
The mean and variance of a discrete random variable from a probability distribution table.
What is
E(x) = Σ(xp)
Var(x) = Σ(x2p) - {E(X)}2?
X~B(10, 0.2)
The way you would calculate the probability that X is at least 2.
What is 1 - [P(X = 0) + P(X = 1)]?
Given a probability, how can you find its associated z score.
State the two different formulas:
Variance for grouped data
Standard deviation for ungrouped data.
Hint: Use formula sheet.
What is ________?
The formula for permutation with n items where p, q, r, items are identical.
What is nPn/(p!q!r!)?
The formula for the mean and variance of a binomial distribution.
What is
µ = np
σ2 = np(1-p)?
The solution to the following problem.
A random variable X is normally distributed with mean 100 and standard deviation 10. Find the probability that randomly selected value of X lies between 91 and 116.56.
What is IDK let's figure it out?
All measures of spread (variation) and all measures of average (central tendency).
What is
Spread - range, interquartile range, standard deviation, variance
Average - expected value, mean, median, mode?
The formula for conditional probability that you use whenever you see the word "given" or know something to be true already about a conditional probability.
What is P(B|A) = P(A and B)/P(A)
"and"/"given?"
The formula for the mean of a geometric distribution and the value that is always the mode.
What is µ = 1/p and mode = 1?
Detail the process of approximating the following binomial distribution as a normal distribution.
X ~ B(100, 0.7)
P(x > 68)
What is
X~N(70, 21)
P(x ≥ 69)
Continuity Correction
P(X ≥ 68.5)
Draw curve
z = (68.5 - 100)/√21
then, find the probability on the chart that is associated with the z score?