Stats test two

When the results of experimentation or historical data are used to assign probability values, the method used to assign probabilities is referred to as the

relative frequency method

The collection of all possible sample points in an experiment is

the sample space

The set of all possible sample points (experimental outcomes) is called

the sample space

The addition law is potentially helpful when we are interested in computing the probability of

the union of two events

The symbol ∪ shows the

union of events

If two events are mutually exclusive, then their intersection

will be equal to zero

Events A and B are mutually exclusive if their joint probability is

zero

The range of probability is

zero to one

If P(A) = 0.58, P(B) = 0.44, and P(A ∩ B) = 0.25, then P(A ∪ B) =

.77

If A and B are mutually exclusive events with P(A) = 0.4 and P(B) = 0.45, then P(A ∪ B) =

.85

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

1/216

If a six sided die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is

1/6

An experiment consists of tossing 4 coins successively. The number of sample points in this experiment is

16

If X and Y are mutually exclusive events with P(X) = 0.295, P(Y) = 0.32, then P(X | Y) =

.0000

If P(A) = 0.50, P(B) = 0.40, then, and P(A ∪ B) = 0.88, then P(B | A) =

.04

If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A | B) =

.05

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

.100

If P(A) = 0.62, P(B) = 0.47, and P(A ∪ B) = 0.88, then P(A ∩ B) =

.2100

If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(A ∩ B) =

.24

If P(A) = 0.45, P(B) = 0.55, and P(A ∪ B) = 0.78, then P(A | B) =

.4

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

.43

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

.48

Of the last 100 customers entering a computer shop, 25 have purchased a computer. If the classical method for computing probability is used, the probability that the next customer will purchase a computer is

.50

If A and B are independent events with P(A) = 0.4 and P(B) = 0.25, then P(A ∪ B) =

.55

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

.69

A perfectly balanced coin is tossed 6 times and tails appears on all six tosses. Then, on the seventh trial

1/2

If a penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is

1/2

Each customer entering a department store will either buy or not buy some merchandise. An experiment consists of following 4 customers and determining whether or not they purchase any merchandise. How many sample points exist in the above experiment? (Note that each customer is either a purchaser or non-purchaser.)

16

Assuming that each of the 52 cards in an ordinary deck has a probability of 1/52 of being drawn, what is the probability of drawing a black ace?

2/52

Some of the CDs produced by a manufacturer are defective. From the production line, 5 CDs are selected and inspected. How many sample points exist in this experiment?

32

A student has selected 8 books that she likes, but she has money only for 3 books. How many possible selections does she have?

56

Six applications for admission to a local university are checked, and it is determined whether each applicant is male or female. How many sample points exist in the above experiment?

64

Assume your favorite football team has 2 games left to finish the season. The outcome of each game can be win, lose or tie. The number of possible outcomes is

9

Two events with nonzero probabilities

cannot be both mutually exclusive and independant

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

One of the basic requirements of probability is

if there are k experimental outcomes, then ∑P(Ei) = 1

A sample point refers to the

individual outcome of an experiment

The intersection of two mutually exclusive events

must always be equal to 0

Events that have no sample points in common are

mutually exclusive events

Since the sun must rise tomorrow, then the probability of the sun rising tomorrow is

none of the above

The union of two events with nonzero probabilities

none of the above

The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects where order of selection is important is called

permutation

A method of assigning probabilities based on historical data is called the

relative frequency method