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Probability Distributions (p-2) — Maths (commerce) STD 12 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 12 Commerce / ArtsMaths (commerce)Probability Distributions (p-2)1 Mark
Question
The probability that a component will survive a check test is $0.6.$ Find the probability that exactly $2$ of the next $4$ components tested survive.
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Answer

$p=0.6, q=1-0.6=0.4, n=4$
$x=2$
$\therefore p(x)={ }^n C_x p^x q^{n-x}$
$P(X=2)={ }^4 C_2(0.6)^2(0.4)^2=0.3456$

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