Calculate the specified probability
-Suppose that $\mathrm { K }$ is a random variable. Given that $\mathrm { P } ( - 3.45 \leq \mathrm { K } \leq 3.45 ) = 0.35$ , and that $\mathrm { P } ( \mathrm { K } < - 3.45 ) =$ $P ( K > 3.45 )$ , find $P ( K > 3.45 )$ .

Question

Calculate the specified probability
-Suppose that $\mathrm { K }$ is a random variable. Given that $\mathrm { P } ( - 3.45 \leq \mathrm { K } \leq 3.45 ) = 0.35$, and that $\mathrm { P } ( \mathrm { K } < - 3.45 ) =$ $P ( K > 3.45 )$, find $P ( K > 3.45 )$.  
A)$0.35$
B) $0.65$
C) $0.325$
D) $1.725$

Quizplus · Accepted Answer

The total probability is 1. Given $P(-3.45 \leq K \leq 3.45) = 0.35$, the remaining probability is $1 - 0.35 = 0.65$. Since $P(K < -3.45) = P(K > 3.45)$, we divide the remaining probability by 2 to find $P(K > 3.45) = 0.65 / 2 = 0.325$.

Calculate the Specified Probability -Suppose That K\mathrm { K }K Is a Random Variable

Calculate the Specified Probability
-Suppose That $\mathrm { K }$ Is a Random Variable