Homework Statement
Homework Equations
No equations used (to my knowledge). Just arithmetic and understanding of what is being asked.
The Attempt at a Solution
Was wondering if my solution/approach to this question is correct or not? I don't have any answers to compare it to so any...
I got a c value of 1/3 by doing this (1 = c/2 + ½ -c + 2/3 )
Then for part (i): Probability = 1/6th or 16.67%
(ii) Probability = 2/3rds or 66.67%
(iii) Probability = 1/3rd or 33.3%
(iv) Probability = 1/2 or 50%
I think I've got it now providing those are the right answers!
Thank you for that. I figured it might have had something to do with the expectation formula. E[X] = 1 in terms of c. There are definitions for the expectation of continuous random variables and for discrete ones as well. For a mixed distribution you would need to mix both definitions together...
Homework Statement
See attached image (See below)
Homework Equations
Differential equations.
And a combination of discrete & continuous distributions
The Attempt at a Solution
The Continous Distribution Function (CDF) is given in the question. So I differentiated it with respect to x...
My bad! I calculated it as if it was e-16.8 just left it as 2.4 when I wrote it! my bad. Thanks for the help though!
My bad, again; not sure why I did that. Was in a rush responding. Appreciate the feedback. Cheers!
Homework Statement
The number of tornadoes per year, in Georgia, has a Poisson distribution with a mean of 2.4 tornadoes. Calculate the probability that in any given year, there will be:
(i) At most 2 cases.
(ii) At least one case.
(iii) Calculate the probability that there will be...
I've a problem with a question regarding a closed spherical storage tank of 30m^3.
Its filled to the 99% mark with Nitric acid and the tank is made of stainless steel.
I'm trying to determine the temperature rise that will cause the liquid to completely fill the vessel.
I know that as the...
Sorry that should have said the limits of y are x^2 and 9 so when we integrate with respect to y those are the limits. It was a poorly written post.
That is embarrassing, I totally overlooked the other value of y despite specifying it. Brain fart. Thanks for the help!
I am currently practicing questions on Green's Theorem however in some questions I have been given a finite region enclosed between a parabola and a horizontal line.
In these questions I am given 2 values of y but none of x.
In one question I was given that y = x^2 and y = 9 and was...
Given a question like this:
Findhe maximum and minimum of http://tutorial.math.lamar.edu/Classes/CalcIII/LagrangeMultipliers_files/eq0043M.gif[PLAIN]http://tutorial.math.lamar.edu/Classes/CalcIII/LagrangeMultipliers_files/empty.gif subject to the constraint...
That's what I was thinking too, like is it even possible to continue this sort of calculation without the RL or initial instrument height?
I'm really left in the dark with this one.
I recently did a level survey however am a little stumped over a calculation. I am trying to calculate the Reduced Level using the "Height of Instrument" method. I know how to do the calculations etc. so I am not asking for this to be done for me. It is more of a general question about this sort...