Soal Peluang Statistik

• Pencipta
  Topik Pertanyaan
• Tanggal 19-09-2019 jam 19:53 #4405
  Ika

  Seventy five percent of youths ages 12-17 have a systolic blood pressure lower than 136mm of mercury. What is the probability that a sample of 12 youths of that age group will include:

  a. exactly 4 who have a blood pressure greater than 136

  b. no more than 4 who have a blood pressure greater than 136

  c. at least 4 who have a blood pressure greater than 136.

• Pencipta
  Topik Pertanyaan

Jawaban :

• Penulis
  Jawaban
• Tanggal 19-09-2019 jam 21:08 #4406
  R-Stats

  Keymaster

  Diketahui \(1-p=0\text{,}75\) atau \(p=0\text{,}25\) dan \(n=12.\) Selesaikan soal-soal tersebut menggunakan distribusi binomial \[P(X=x)=\binom {n}{x}p^x {(1-p)}^{n-x}\]

  a. \(P(X=4)= \binom {12}{4}(0\text{,}25)^4 {(1-0\text{,}25)}^{12-4}\)

  b. \(P(X<4)=P(X=0)+P(X=1)+P(X=2)+P(X=3)\)

  c. \(P(X \geq 4)=1-P(X<4)\)

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  Jawaban