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The following table gives the frequencies of the nest size (number of eggs) of 171 Great Blue Heron nests recorded on a recent survey in

The following table gives thefrequenciesof the nest size (number of eggs) of 171 Great Blue Heron nests recorded on a recent survey in Indian River County. Use the data to construct a discreteprobabilitydistribution.

x

x

012345f

f

34494031530Construct the probability distribution ofx

x

, wherex

x

is the number of eggs in a randomly selected Great Blue Heron nest in Indian River County. Round solutions to three decimal places, if necessary.

x

x

012345P

(

x

)

P(x)

Construct a probability distribution graph for the nest size of Great Blue Herons in Indian River County.

0.05

0.1

0.15

0.2

0.25

Nest Size

P(x)

0

1

2

3

4

5

[Graphs generated by this script: setBorder(85,45,0,10); initPicture(0,14,0,0.287);axes(1000,0.05,1,1000,0.05); fill="blue"; textabs([190,0],"Nest Size","above");textabs([0,120],"P(x)","right",90);rect([1,0],[3,0.199]);text([2,0],"0","below");rect([3,0],[5,0.287]);text([4,0],"1","below");rect([5,0],[7,0.234]);text([6,0],"2","below");rect([7,0],[9,0.018]);text([8,0],"3","below");rect([9,0],[11,0.088]);text([10,0],"4","below");rect([11,0],[13,0.175]);text([12,0],"5","below");]

0.05

0.1

0.15

0.2

0.25

Nest Size

P(x)

0

1

2

3

4

5

0.05

0.1

0.15

0.2

Nest Size

P(x)

0

1

2

3

4

5

[

0.05

0.1

0.15

0.2

0.25

Nest Size

P(x)

0

1

2

3

4

5

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