Stats test 2

If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(AuB) =

0.48

Events A and B are mutually exclusive with P(A) = 0.3 and P(B) = 0.2. Then, P(Bc) =

0.8

If a dime is tossed forty times and comes up tails all forty times, the probability of heads on the fiftieth flip is

1/2

A six-sided die is tossed 3 times. The probability of observing three ones in a row is

1/216

If P(A) = 0.48, P(AuB) = 0.82, and P(B) = 0.54, then P(AnB) =

.2

If P(A) = 0.4, P(B | A) = 0.35, P(AuB) = 0.69, then P(B) =

.43

Given that event E has a probability of 0.31, the probability of the complement of event E

.69

An experiment consists of four outcomes with P(E1) = 0.2, P(E2) = 0.3, and P(E3) = 0.4. The probability of outcome E4 is

0.1

Which statement is always true?

P(A) = 1 - P(Ac)

Events A and B are mutually exclusive. Which of the following statements is also true? a. A and B are also independent. b. P(AuB) = P(A)*P(B) c. P(AuB) = P(A) + P(B) d. P(AnB) = P(A) + P(B)

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

In statistical experiments, each time the experiment is repeated

a different outcome may occur

Each individual outcome of an experiment is called

a sample point

The intersection of events A and B is the event containing

all outcomes in both A and B

The union of events A and B is the event containing

all the sample points belonging to A or B or both

What is an experiment?

any process that generates a well defined set of outcomes

what is the subjective method?

assign probability using the knowledge or judgement of the researcher

what is the relative frequency method?

assume probability will be based on how frequently something happened in the past

When the assumption of equally likely outcomes is used to assign probability values, the method used to assign probabilities is referred to as the

classical method

An experiment consists of determining the speed of automobiles on a highway by the use of radar equipment. The random variable in this experiment is a

continuous random variable

A measure of the average value of a random variable is called a(n)

expected value

what is the discrete random variable?

may assume a finite number of values or an infinite sequence of values. you can count them in whole numbers

what is the continuous random variable?

may assume any numerical value along an interval. these can be infinitely divided

what is probability?

measuring uncertainty about a future event

The intersection of two mutually exclusive events

must always be equal to 0

If P(A) = 0.7, P(B) = 0.6, P(AnB) = 0, then events A and B are

mutually exclusive

A numerical description of the outcome of an experiment is called a

random variable

What are the required conditions for a discrete probability function?

sum of f(x) = 1 and f(x) is greater than or equal to 0

What is the counting rule for combinations?

when you pick a small set from a larger set, and the order does not matter

what is the counting rule for permutations?

when you pick a small set from a larger set, and the order matters