Statistics Exam 2

The basic multiplication rule is used for finding P(A or B), the probability that event A occurs in a first trial and event B occurs in a second trial. If the outcome of the first event A somehow affects the probability of the second event B, it is important to ______ the probability of B to ________________ of event A.

Adjust; reflect the occurence

What is this formula called? P(A) + P(-A)= 1

Complimentary Rule

The expected value value of a discrete random variable is is denoted by ___, and it represents the _________________________________________. It is obtained by finding the value of: ________.

E; mean value of the outcomes third part idk

The probability that events A and B will occur, P(A or B) is given by: P(A or B)= P(A)+P(B)-P(A and B) If events A and B are mutually exclusive, then the rule can be simplified to ___________________. It is because ______________. This simplified rule can be extended to any number of __________________________________.

P(A)+P(B) ; P(A or B) ; Mutually Exclusive Events

Are these events mutually exclusive? Event A: Randomly select a blood donor with type 0 blood Event B: Randomly select a female blood donor

Not Mutually Exclusive (can occur at the same time)

Are these events mutually exclusive? Event A: Randomly selecting a male student Event B: Randomly selecting a nursing major

Not Mutually Exclusive (can occur at the same time)

Another way to say "Disjoint" is:

Mutually Exclusive (disjoint events do not overlap)

Are these events mutually exclusive? Event A: Roll a 3 on a die Event B: Roll a 4 on a die

Mutually exclusive (cannot occur at the same time)

In general, the probability of any ________________________________ is simply: the _________ of their corresponding probabilities.

sequence of independent events, product

The Intuitive Addition Rule is:

the sum of the number of ways event A can occur and the number of ways event B can occur, adding in such a way that every outcome is COUNTED ONLY ONCE.

When three children are born the sample space is...

all different outcomes

When applying the multiplication rule, __________ whether the _____ are: _________________ or dependent, ____ ______________ the calculations accordingly.

Always consider; events Independent; and adjust

The Formal Addition Rule is:

P(A or B)= P(A)+ P(B)-P(A and B)

The Addition Rule can be used as a device for finding probabilities that can be expressed as:

P(A orB), the probability that either event A or event B occurs (or they both occur) as the single outcome of the procedure

When finding the probability that event A occurs in one trial and event B occurs in the next trial, multiply the probability of event A by the probability of event B, but be sure that the probability of event B takes into account the __________ of event A.

Previous Occurrence

Binomial Distribution is a special case of ______ (Discrete Probability Distribution). Where is tells us if events are _____ or not. There are _____ categories: acceptable/defective.

a marriage between the multiplication and the combination rule successful/related; 2