Question

While taking a walk along the road where you live, you accidentally drop your glove, but you don't know where.

Answer 1

what is this?

Answer 2

ikr...wut is this.. and where did u drop it...or sumthing?

Answer 3

While taking a walk along the road where you live, you accidentally drop your glove, but you don't know where. The probability density p(x) for having dropped the glove x kilometers from home (along the road) is p(x)=3e^(−3x ) for x≥0
a.What is the probability that you dropped it within 1 kilometer of home?
b.At what distance y from home is the probability that you dropped it within y km of home equal to 0.95?

thanks!!

Answer 4

a)\[\int\limits_{0}^{1}p(x)dx\]

b) solve \(\displaystyle\int\limits_{0}^{y}p(x)dx=.95\) for y

Answer 5

\[\displaystyle\int\limits_{0}^{y}p(x)dx=1-e^{-3y}\]

\solve

\[1-e^{-3y}=.95\]
\[1-.95=e^{-3y}\]
\[.05=e^{-3y}\]
\[\ln(.05)=-3y\]
\[y=\frac{\ln(.05)}{-3}\approx.998577\]

Answer 6

thanks!