In a recent study, the following responses were obtained to the question, “do you favor recycling in your neighborhood? ”. given that a randomly selected response was "no opinion", what is the probability that it came from a female? round your result to 2 significant places after the decimal (for example, 0.86732 should be entered as 0.87).
yes no no opinion
male 92 48 47
female 78 63 49

Answer with Step-by-step explanation:

                       Yes         No         No Opinion

Male                  92         48           47

Female              78          63          49

Given that a randomly selected response was "No Opinion"

what is the probability that it came from a female?

It is a problem of conditional probability in which

A: response came from a female

B: Response is "No Opinion"

Total number of no opinions=49+47=96

Total outcomes=92+78+48+63+47+49=377

P(B)=96/377

A∩B: No opinion from a female

P(A∩B)=49/377

P(A|B)=P(A∩B)/P(B)   (by Baye's theorem)

         =

         = 49/96

        = 0.51

Hence, given that a randomly selected response was "No Opinion",the probability that it came from a female is:

0.51

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05