For the probability density function $f ( x ) = \frac { x } { 128 }$ on the interval $[ 0,16 ]$ , find the probability that $x \geq 6$ . Round your answer to the nearest hundredth.
A)0.1
B)0.63
C)0.86
D)0.08
E)0.06

Question

Quizplus · Accepted Answer

To find the probability that $x \geq 6$, integrate the probability density function from 6 to 16: $\int_{6}^{16} \frac{x}{128} \, dx$. This evaluates to 0.86 when rounded to the nearest hundredth.

For the Probability Density Function f(x)=x128f ( x ) = \frac { x } { 128 }f(x)=128x​

For the Probability Density Function $f ( x ) = \frac { x } { 128 }$