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) | 1/6 | ¼ | k | 1/12 | 1/3 |
Nilai k = ….
A. 1/12
B. 1/6
C. ¼
D. 1/3
E. ½
Pembahasan:
P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 1
⇔ 1/6 + ¼ + k + 1/12 + 1/3 = 1
⇔ 2/12 + 3/12 + k + 1/12 + 4/12 = 12/12
⇔ 10/12 + k = 12/12
⇔ k = 12/12 – 10/12
⇔ k = 2/12 = 1/6
Jawaban: B
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