General Definitions
How likely something is to happen
What is Probability?
The sum of all the probabilities in a discrete probability distribution must be equal to
1
These come in pairs and are used to denote sample space
{ }
A probability d______ for a discrete random variable specifies the probability for each
possible value of the random variable.
Distribution
The notation for the normal curve is:
N(μ, σ)
The probability of an event not occurring
What is the complement?
C_______ random variables can take on any value in an interval.
What is Continuous?
Assume that a fair die is rolled. The sample space is {1, 2, 3, 4, 5, 6}, and all the outcomes are equally likely. Find P(9)
P(0)
Probabilities listed must be from __ to __
0 to 1
The shape of the curve is defined by the m_____ and the s______ d________.
Mean and Standard Deviation
The collection of all possible outcomes of a probability experiment called?
What is Sample Space?
The area under the entire probability density curve is equal to __
1
The Rule of Complements states that P(AC)=
1-P(A)
Getting a 2 and a 5 when you roll a dies is what type of event
Mutually Exclusive
When we have no upper value we use ____; while no lower value is_____
The probability of these events is less than 5% (<0.05)
What is an Unusual Event
Two events are said to be _______ __________ if both events can't occur at the same time.
What is Mutually Exclusive?
If there is the probability that it will rain is 0.6 .
What is the probability is will NOT rain
0.4
Tossing a coin and rolling a dice is an example of what event
Independent
A normal population has mean μ = 56 and standard deviation σ = 7.
What is the 86th percentile of the population?
63.6
An outcome or collection of outcomes from a sample space is called
What is an Event?
The probability of A given B P(A|B) is called c_____ probability
Conditional
500 likely voters in a certain city, 280 said they planned to vote to reelect the mayor.
What percentage of all voters in the city who plan to vote to reelect the mayor is ?
56%
True or False: A probability histogram in which the height of each bar is the probability.
True
Find the z-score for which the area to its right is 0.87
Round the answer to two decimal places.