Pertanyaan

Diketahui P ( x ) = C ( 4 , x ) ⋅ ( 0 , 8 ) x ⋅ ( 0 , 2 ) 4 − x untuk x = 1 , 2 , 3 , dan 4 . Tentukan nilai dari: a. P ( 1 ) b. P ( 3 )

Diketahui $P (x) = C (4, x) \cdot (0, 8)^{x} \cdot (0, 2)^{4 - x}$ untuk $x = 1, 2, 3, dan 4$ . Tentukan nilai dari:

a. $P (1)$

b. $P (3)$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

nilai dari .

nilai dari

table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight P end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses 3 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4096 end table

Pembahasan

Diketahui Sehingga diperoleh a Dengan demikian nilai dari . b. Dengan demikian nilai dari .

Diketahui

straight P open parentheses x close parentheses equals straight C open parentheses 4 comma straight x close parentheses times open parentheses 0 comma 8 close parentheses to the power of straight x times open parentheses 0 comma 2 close parentheses to the power of 4 minus straight x end exponent

Sehingga diperoleh

a straight P open parentheses 1 close parentheses

$table attributes columnalign right center left columnspacing 0px end attributes row cell straight P open parentheses x close parentheses end cell equals cell straight C open parentheses 4 comma straight x close parentheses times open parentheses 0 comma 8 close parentheses to the power of straight x times open parentheses 0 comma 2 close parentheses to the power of 4 minus straight x end exponent end cell row cell straight P open parentheses 1 close parentheses end cell equals cell straight C open parentheses 4 comma 1 close parentheses times open parentheses 0 comma 8 close parentheses to the power of 1 times open parentheses 0 comma 2 close parentheses to the power of 4 minus 1 end exponent end cell row blank equals cell fraction numerator 4 factorial over denominator 3 factorial times 1 factorial end fraction times open parentheses 0 comma 8 close parentheses times open parentheses 0 comma 008 close parentheses end cell row blank equals cell 4 times open parentheses 0 comma 8 close parentheses times open parentheses 0 comma 008 close parentheses end cell row blank equals cell 0 comma 0256 end cell end table$

Dengan demikian nilai dari straight P open parentheses 1 close parentheses equals 0 comma 0256 .

b. straight P open parentheses 3 close parentheses

$table attributes columnalign right center left columnspacing 0px end attributes row cell straight P open parentheses x close parentheses end cell equals cell straight C open parentheses 4 comma straight x close parentheses times open parentheses 0 comma 8 close parentheses to the power of straight x times open parentheses 0 comma 2 close parentheses to the power of 4 minus straight x end exponent end cell row cell straight P open parentheses 3 close parentheses end cell equals cell straight C open parentheses 4 comma 3 close parentheses times open parentheses 0 comma 8 close parentheses cubed times open parentheses 0 comma 2 close parentheses to the power of 4 minus 3 end exponent end cell row blank equals cell fraction numerator 4 factorial over denominator 1 factorial times 3 factorial end fraction times open parentheses 0 comma 512 close parentheses times open parentheses 0 comma 2 close parentheses end cell row blank equals cell 4 times open parentheses 0 comma 512 close parentheses times open parentheses 0 comma 2 close parentheses end cell row blank equals cell 0 comma 4096 end cell end table$

Dengan demikian nilai dari .

Latihan Bab

Variabel Acak

Distribusi Probabilitas Diskrit

Ekspektasi dan Variansi (Diskrit)

Distribusi Binomial