quiz 5

Question 1

the probability of event A given that event B has occurred is called the…

Answer 1

CONDITIONAL probability of A, given that B has occurred

Question 2

how is the vertical bar read as

Answer 2

given

Question 3

the conditional probability of event A given that B has occurred is…

Answer 3

P(A∩B)/P(B)

Question 4

when 2 events are independent, the conditional probability equals the marginal probability of the event

Answer 4

P(A|B)=P(A)

Question 5

a _________ is the event that the test is positive for a given condition, given that the person _____ have the condition

Answer 5

false positive(type I error), does not

Question 6

a_________ is the event that the the test is negative for a given condition, given that the person______ the condition

Answer 6

false negative (type II error), has

Question 7

a sample space can be partitioned into k subplots that are…

Answer 7

mutually exclusive and exhaustive

Question 8

the law of total probability

Answer 8

P(A)= P(S1) x P(A|S1) + P(S2) x P(A|S2) +…..

Question 9

P(A∩Si)=

Answer 9

P(Si) x P(A|Si)

Question 10

a variable X is a ________ if the value that it assumes corresponding to the outcome of an experiment , is a chance or random event

Answer 10

random variable

Question 11

quantitative variables are either________ or________, according to the values that x can assume

Answer 11

discrete, continuous

Question 12

we defined probability as the limiting value of the _____________ as the experiment is repeated over and over again

Answer 12

relative frequency

Question 13

Now we define the probability distribution for a random variable as the_________ constructed for the entire population of measurements

Answer 13

relative frequency distribution

Question 14

the _________ for a discrete random variable is a formula, table, or graph that gives all the possible values of x, and the probability( p(x)=P(X=x) ) associated with each value x

Answer 14

probability distribution

Question 15

the difference is that the relative frequency distribution describes a_______ of n measurements while the probability distribution is constructed as a model for the entire ________ of measurements

Answer 15

sample, population

Question 16

The population mean which measures the average value of x in a population is also called the __________ of the random variable X and is written as ______. It is the value that you would expect to observe _______

Answer 16

expected value, E(x), on average

Question 17

E(x)= ∑ x p(x)

Answer 17

true

Question 18

σ²=∑ (x-ϻ)² p(x)

Answer 18

true

Question 19

a binomial experiment is one that has ____ characteristics

Answer 19

5

Question 20

1.the experiment consists of n ____ trials

Answer 20

identical

Question 21

2. Each trial results in one of ___ outcomes, one outcome is called a success and the other a failure

Answer 21

2

Question 22

3. The probability of success on a single trial is equal to _____ and remains the same from trial to trial. the probability of failure is ____=q

Answer 22

p, 1-p

Question 23

4. The trials are ________

Answer 23

independent

Question 24

5. We are interested in the ______ random variable X, the # of successes in n trials, for X=0,1, n

Answer 24

discrete

Question 25

mean for binomial random variable

Answer 25

ϻ= np

Question 26

variance for binomial random variable

Answer 26

σ²=npq

Question 27

the values of x are mutually exclusive, summing p(.) over all values of x is the same as adding the probabilities of all simple events and therefore equals.

Answer 27

true

Question 28

requirement 1 for discrete probability distribution

Answer 28

p(x) is greater than or equal to 0 and less than or equal to 1

Question 29

requirement 2 for discrete probability distribution

Answer 29

∑ p(x)=1

Question 30

what is the general multiplication rule ?

Answer 30

The probability that both A and B occur when the experiment is performed is
P(A∩B)= P(A) P(B|A)

Question 31

2 mutually exclusive events are not independent of each other
true or false

Answer 31

TRUE

Question 32

2 events are independent if….

Answer 32

the conditional probability of that event is equal to the marginal probability of that event and if P(A∩B)= P(A)P(B)