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)=6e^(−6x) for x≥0
What is the probability that you dropped it within 1 kilometer of home?

At what distance y from home is the probability that you dropped it with y km of home equal to 0.95?

Question

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)=6e^(−6x)  for   x≥0 
What is the probability that you dropped it within 1 kilometer of home? 
 
At what distance y from home is the probability that you dropped it with y km of home equal to 0.95?

anonymous · Answer

I Just need help with the second part I know that the first question is 1-e^(-6)

anonymous · Answer

Put Probability = .95 and solve for x.

anonymous · Answer

do you need to take the integral of p(x) [0,y]?

anonymous · Answer

Yes you've to integrate and equate.

anonymous · Answer

ok thanks

anonymous · Answer

you are welcome