Finding Probability Density Function Constant for f(x) = c(4x − 2x^2)

Math Problem Statement

Tentukan kepadatan probabilitas X diberikan oleh

f ( x ) = c( 4 x − 2x 2 ) , 0 < x < 2

0 Selain itu (a) Berapakah nilai c? (b) P 12 < X < 32 = ?

Mari kita selesaikan soal ini secara bertahap.

Fungsi kepadatan probabilitas $f(x) = c(4x - 2x^2)$ untuk $0 < x < 2$ , dan $f(x) = 0$ di luar interval tersebut.

Untuk menentukan nilai $c$ , kita gunakan syarat bahwa total probabilitas harus sama dengan 1

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