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
