Q.25 Let Xsim B(10,0.2) . Find (a) P(X=1) (b) P(X≥1)

Answer: (a) 2(0.8)⁹≈0.2684 (b) 1-(0.8)¹⁰≈0.8926 n=10 , p=0.2 , q=0.8 . P(X=x)=¹⁰C_x(0.2)^x(0.8)^(10-x) , x=0,1,dots,10 . (a) P(X=1)=¹⁰C₁(0.2)(0.8)⁹=2(0.8)⁹≈2×0.1342=0.2684 . (b) P(X≥1)=1-P(X=0)=1-(0.8)¹⁰≈1-0.1074=0.8926 .

Chapter: Binomial Distribution· Mathematics & Statistics Part 2

Let \(X\sim B(10,0.2)\). Find (a) \(P(X=1)\) (b) \(P(X\ge1)\)

Q.25 Let \(X\sim B(10,0.2)\). Find (a) \(P(X=1)\) (b) \(P(X\ge1)\)

Doubtly Asked 29 Oct 2026 Board exam · July 2024 hsc 12th Save WhatsApp Report

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Answer: (a) \(2(0.8)^9\approx0.2684\) (b) \(1-(0.8)^{10}\approx0.8926\)

\(n=10\), \(p=0.2\), \(q=0.8\). \(P(X=x)={}^{10}C_x(0.2)^x(0.8)^{10-x}\), \(x=0,1,\dots,10\).

(a) \(P(X=1)={}^{10}C_1(0.2)(0.8)^9=2(0.8)^9\approx2\times0.1342=0.2684\).

(b) \(P(X\ge1)=1-P(X=0)=1-(0.8)^{10}\approx1-0.1074=0.8926\).

Doubtly AI · 29 Oct 2026 AI-generated · not yet verified Report

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Let \(X\sim B(10,0.2)\). Find (a) \(P(X=1)\) (b) \(P(X\ge1)\)

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