Homework Statement
Which compound would you expect to be more soluble in water: heptanoic acid or 1-octanol?
Which of the compounds has the greater solubility in water and why?
2-Propanone or 1-Propanol
Homework Equations
The Attempt at a Solution
I believe for the first question that the...
I'm an undergraduate computer-science student doing research in the field of computer vision, and one of the tasks I've been charged with is calibrating the camera on a robot.
I understand the basic principles at work: a vector in 3D world coordinates is transformed into homogeneous 2-space...
Homework Statement
See attached.
Homework Equations
The Attempt at a Solution
I have no issues with part A. I simply took the expected value of T1 and T2 and everything turned out fine. What I'm having issues with is part B.
I have:
T1 = (4 / n) * 1997 - 2 = 0.08075
T2 = (4 / n) * 32 =...
Homework Statement
We return to the example concerning the number of menstrual cycles up to pregnancy, where the number of cycles was modeled by a geometric random variable. The original data concerned 100 smoking and 486 nonsmoking women. For 7 smokers and 12 nonsmokers, the exact number of...
Homework Statement
Let X and Y be two random variables, with joint distribution given by the following table:
a
b 1 2 3 4
--------------------------------------
1 16/136 3/136 2/136 13/136
2 5/136 10/136 11/136 8/136
3...
Homework Statement
Let U have a U(0, 1) distribution.
a. Describe how to simulate the outcome of a roll with a die using U.
b. Define Y as follows: round 6U + 1 down to the nearest integer. What are
the possible outcomes of Y and their probabilities?
Homework Equations
A continuous...
Homework Statement
You decide to play monthly in two different lotteries, and you stop playing
as soon as you win a prize in one (or both) lotteries of at least one million
euros. Suppose that every time you participate in these lotteries, the probability
to win one million (or more)...
Homework Statement
Let X be a discrete random variable with probability mass function p given by:
a ...| -1 .| 0 ..| 1 ..| 2
-----+-----+-----+-----+---
p(a) | 1/4 | 1/8 | 1/8 | 1/2
and p(a) = 0 for all other a.
a.) Let random variable Y be defined by Y = X^2. Calculate the...
Thanks for your reply Mapes!
This is what I have so far, could be kind enough to tell me if this looks right? I'll use ^ for the intersection operator.
P(A | B) = 1 - P(A | complement B)
because P(complement A | complement B) = 1 - P(A | complement B)
P(A ^ B) / P(B) = 1 - P(A ^...
I've been struggling for a good couple hours on the below, and I was hoping someone might be able to push me in the right direction...
"A" represents the event "the breath analyzer indicates the suspect is drunk" and "B" represents the event "the suspect is drunk." On a given Saturday night...