Week 3- Stat - Intro to Prob

the product of the individual probabilities

Two events are independent, then the prob that both events occur equals

probability

A numerical value that measures the likelihood of an uncertain event is a

subjective probability

A probability based on personal judgement rather than on obseravation or logical analysis is best referred to as a(n)

subjective probability

A softball coach believes that Laurie has a 0.5 probability of getting a hit against a particular pitcher that Laurie has never batted against before. This type of probability is BEST characterized as a(n)

event

A subset of the sample space is a/an

experiment

A trial, or process, that produces several possible outcomes is referred to as a(n)

exclusive

Events that cannot occur on the same trial of an experiment are mutually ___ events

complement

For any given event, the probability of that event and the probability of the ___ of the event must sum to one

contingency table

For hotels in NYC, a travel website wants to provide info comparing hotel costs (high, avg, low) vs the quality ranking of the hotel (excellent, good, fair, poor). A useful way to summarize this data is to construct a(n)

P(AnB) = P(A|B) x P(B)

For two events A and B, the multiplication rule is

C

If 230 out of 400 country club members play tennis, the value 230 should be inserted in the contingency table in the cell with the letter

all the cards in the deck

If an experiment is selecting a card from a deck of card, then the sample space is

0.89 (prob cannot exceed 1)

In a particular industry, it is known that 82% of companies ship their products by truck and 47% of companies ship their product by rail. 40% of companies ship by truck and rail. The prob that a company ships by truck or rail is

0.88

Kareem is trying to decide which college to attend full time next year. Kareem believes there is a 55% chance that he will attend State College and a 33% chance that he will attend Northern University. The prob that Kareem will attend either State or Northern is

P(AuB) = P(A) + P(B) - P(AnB)

The addition rule for two events A and B is

the union of two events

The addition rule is used to calculate

all outcomes in S that are not in A

The complement of event A within the sample space S contains

P(A^c) = 1-P(A)

The complement rule with respect to event A is

B

The conditional probability of A given B is calculated by dividing the intersection of A and B by the prob of

An empirical prob

The relative fréquence of an event is used to calculate what type of Prob

all outcomes in A or B

The union of two events A and B, denoted AuB, contains

event B

Using the multiplication rule, the prob that event A and event B both occur is computed by multiplying the conditional prob of event A given event B by the prob of

T

When construction a joint prob table, the cell in the lower right coerner is always equal 1.

A value of 7, 6, and an even & odd numbers

When rolling a pair of dice and summing the two values rolled, which of the following are exhaustive events?

a probability table

Which method can be used to help implement the total probability rule

Based on past data, a manager believes there is a 70% chance of retaining an employee for at least one year

Which of the following BEST represents an empirical probability

The prob that Lisa purchases groceries, given that Neil has already purchased groceries

Which of the following is an exmpaple of a conditional prob