The first four moments of a distribution about the value 5 are 2, 20, 40 & 50.Fourth moment about the mean is About the author Ella

Given :– The first four moments of a distribution about the value 5 are 2, 20, 40 & 50. Fourth moment about the mean is ? Answer :– we have given that, u₁ = 2 u₂ = 20 u₃ = 40 u₄ = 50 . so, → Fourth moment about the mean = u₄ – 4 * u₁ * u₃ + 6 * u₂ * (u₁)² – 3 * (u₁)⁴ putting values we get, → Fourth moment about the mean = 50 – 4 * 2 * 40 + 6 * 20 * (2)² – 3 * (2)⁴ → Fourth moment about the mean = 50 – 320 + 480 – 48 → Fourth moment about the mean = 530 – 368 → Fourth moment about the mean = 162 (Ans.) Learn more :- The first four moments of a distribution about the value 4 of a variable are -1.5,17,-30 and 108 . Find the moment about… https://brainly.in/question/21099200 Reply

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Given:–Answer:–we have given that,

so,

→ Fourth moment about the mean = u₄ – 4 * u₁ * u₃ + 6 * u₂ * (u₁)² – 3 * (u₁)⁴

putting values we get,

→ Fourth moment about the mean = 50 – 4 * 2 * 40 + 6 * 20 * (2)² – 3 * (2)⁴

→ Fourth moment about the mean = 50 – 320 + 480 – 48

→ Fourth moment about the mean = 530 – 368

→ Fourth moment about the mean =

162(Ans.)Learn more:-The first four moments of a distribution about the value 4 of a variable are -1.5,17,-30 and 108 . Find the moment about…

https://brainly.in/question/21099200