Soal Peluang Statistik

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  • #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.

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  • #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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