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A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
n = 15, p = 0.3, X = 3
P(3)=0

Respuesta :

MrRoyal

Answer:

[tex]P(x = 3) = 0.1700[/tex]

Explanation:

Given

[tex]n = 15[/tex]

[tex]p = 0.3[/tex]

Required

Determine P(x = 3)

This is calculated using:

[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]

So, we have:

[tex]P(x = 3) = ^{15}C_3*0.3^3*(1-0.3)^{15-3}[/tex]

[tex]P(x = 3) = ^{15}C_3*0.3^3*(1-0.3)^{12}[/tex]

[tex]P(x = 3) = 455 *0.027*(0.7)^{12}[/tex]

[tex]P(x = 3) = 455 *0.027*0.0138412872[/tex]

[tex]P(x = 3) = 0.17004021325[/tex]

[tex]P(x = 3) = 0.1700[/tex]