Answer:
μ ≈ 2.33
σ ≈ 1.25
Step-by-step explanation:
Each person has equal probability of ⅓.
The mean is the expected value:
μ = E(X) = ∑ X P(X)
μ = (1) (⅓) + (2) (⅓) + (4) (⅓)
μ = ⁷/₃
The standard deviation is:
σ² = ∑ (X−μ)² P(X)
σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)
σ² = ¹⁴/₉
σ ≈ 1.25
The coordinates of the endpoints of the mid-segment of Δ XYZ that parallel to XZ are (1 , 6) and (1 , 3)
Step-by-step explanation:
In a triangle the segment which joining the mid points of two sides:
In Δ XYZ
∵ Vertex X is (0 , 7)
∵ Vertex Y is (2 , 5)
∵ Vertex Z is (0 , 1)
∵ The mid-segment of Δ XYZ is parallel to XZ
- The mid-segment intersects the other two sides of the Δ
at their mid-points
∴ The mid-segment intersects XY and YZ at their midpoints
∴ The endpoints of the mid-segment are the midpoints of
XY and YZ
The mid point of a segments whose endpoints are and
is
∵ X = (0 , 7) and Y = (2 , 5)
∴ = 0 and
= 2
∴ = 7 and
= 5
∵ The mid point of XY =
∴ The mid point of XY =
∴ The mid point of XY = (1 , 6)
∵ Z = (0 , 1) and Y = (2 , 5)
∴ = 0 and
= 2
∴ = 1 and
= 5
∵ The mid point of ZY =
∴ The mid point of ZY =
∴ The mid point of ZY = (1 , 3)
∵ The endpoints of the mid-segment are the midpoints of
XY and YZ
∴ The end points of the mid segments are (1 , 6) and (1 , 3)
The coordinates of the endpoints of the mid-segment of Δ XYZ that parallel to XZ are (1 , 6) and (1 , 3)
Learn more:
You can learn more about the mid-point in brainly.com/question/5223123
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