The probability distribution of \(X\) is as follows :\(X=x\)01234\(P(X=x)\)0.1\(k\)\(2k\)\(2k\)\(k\)Find (a) \(k\) (b) \(P(X\lt 2)\)

Q.13 The probability distribution of \(X\) is as follows :

\(X=x\)	0	1	2	3	4
\(P(X=x)\)	0.1	\(k\)	\(2k\)	\(2k\)	\(k\)

Find (a) \(k\) (b) \(P(X\lt 2)\)

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

1 answer

Best answer

Answer: (a) \(k=0.15\) (b) \(P(X\lt2)=0.25\)

(a) Sum of probabilities is 1: \(0.1+k+2k+2k+k=1\Rightarrow6k=0.9\Rightarrow k=0.15\).

(b) \(P(X\lt2)=P(X=0)+P(X=1)=0.1+0.15=0.25\).

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

Was this answer helpful?