Rewrite the probability statementP(0&lt;R&lt;k(X1+X2))=1−S

Step 1Assuming&nbsp;k&gt;0P(0&lt;R&lt;k(X1+X2))=P(X1+X2&gt;Rk&gt;0)=1−S⇒1−P(X1+X2&gt;Rk&gt;0)=S⇒P(X1+X2&lt;Rk)=S&nbsp;if&nbsp;R&gt;0&nbsp;,otherwise&nbsp;S=0

"Rewrite the probability statementP(0<R<k(X1+X2))=1−S" was answered by students like you

jncuenodd4nf

Answered question

2022-04-01

Rewrite the probability statement

P (0 < R < k (X_{1} + X_{2})) = 1 - S

Answer & Explanation

Ashley Olson

Beginner2022-04-02Added 12 answers

Step 1
Assuming $k > 0$
$P (0 < R < k (X_{1} + X_{2}))$
$= P (X_{1} + X_{2} > \frac{R}{k} > 0)$
$= 1 - S \Rightarrow 1 - P (X_{1} + X_{2} > \frac{R}{k} > 0)$
$= S \Rightarrow P (X_{1} + X_{2} < \frac{R}{k})$
$= S if R > 0, otherwise S = 0$

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