Perhatikan tabel distribusi frekuensi variabel acak X berikut! Nilai k = ….
Perhatikan tabel distribusi frekuensi variabel acak X berikut!
x | 1 | 2 | 3 | 4 | 5 |
P(X = x) | 1/12 | 1/6 | k | 1/6 | ¼ |
Nilai k = ….
A. ½
B. 1/3
C. ¼
D. 2/3
E. 5/6
Pembahasan:
P(X = 1) + P(X = 2)
P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 1
⇔ 1/12 + 1/6 + k + 1/6 + ¼ = 1
⇔ 1/12 + 2/12 + k + 2/12 + 3/12 = 12/12
⇔ 8/12 + k = 12/12
⇔ k = 12/12 – 8/12
⇔ k = 4/12 = 1/3
Jawaban: B
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