An organization keeps three workplaces in a specific area, each staffed by two representatives. Data concerning yearly compensations (1000s of dollars) is as per the following:

Office 1 1 2 2 3 3

Employee 1 2 3 4 5 6

Salary 35.7 39.6 36.2 39.6 31.8 35.7

(a) Suppose two of these workers are haphazardly chosen from among the six (without substitution). Decide the testing circulation of the example mean compensation

X.

(Enter your responses for p(x) as portions.)

x 33.75 35.70 35.95 37.65 39.60

p(x)

1

15

2

15

(b) Suppose one of the three workplaces is haphazardly chosen. Allow X1 and X2 to indicate the compensations of the two workers. Decide the examining appropriation of

X.

(Enter your answers as portions.)

x 33.75 37.65 37.90

p(x)

=28=

A teacher has given a short test comprising of two sections. For a haphazardly chosen understudy, let X = the quantity of focuses procured on the initial segment and Y = the quantity of focuses acquired on the subsequent part. Assume that the joint pmf of X and Y is given in the going with table.

y

p(x, y)

0 5 10 15

x 0 0.01 0.06 0.02 0.10

5 0.04 0.16 0.20 0.10

10 0.01 0.15 0.14 0.01

(a) Compute the covariance for X and Y. (Round your response to two decimal spots.)

Cov(X, Y) =

(b) Compute for X and Y. (Round your response to two decimal spots.)

=

A CBS News survey directed June 10 and 11, 2006, among a cross country arbitrary example of 651 grown-ups, got some information about their gathering alliance (Democrat, Republican or none) and their assessment of how the US economy was changing ("improving," "deteriorating" or "about the equivalent"). The outcomes are appeared in the table underneath.

better

same

more terrible

Conservative

38

104

44

Leftist

12

87

137

none

21

90

118

Express your answers as a decimal and round to four decimal spots.

On the off chance that we haphazardly select one of the grown-ups who took part in this investigation, figure:

a. P(Democrat) =

b. P(worse) =

c. P(worse|Democrat) =

d. P(Democrat|worse) =

3. P(Democrat and more awful) =

A CBS News survey directed June 10 and 11, 2006, among a cross country arbitrary example of 651 grown-ups, got some information about their gathering association (Democrat, Republican or none) and their assessment of how the US economy was changing ("improving," "deteriorating" or "about the equivalent"). The outcomes are appeared in the table underneath.

better

same

more awful

Conservative

38

104

44

Liberal

12

87

137

none

21

90

118

Express every one of your answers as a percent adjusted to the closest 10th (for instance, 12.3%).

What percent of review respondents recognized themselves as partnered with neither gathering (negligible likelihood)?

%

What percent of overview respondents thought the economy was deteriorating and were associated with neither one of the parties (joint likelihood)?

%

What percent of those associated with neither one of the parties thought the economy was deteriorating (restrictive likelihood)?

%