Answer:
a)
b)
Step-by-step explanation:
a) Lets denote the cumulative distribution function of X. Note that for any value a between 0 and I/2, we have that is the probability for the stick to be broken before the length a is reached following the stick from one starting point plus the probability for the stick to be broken after the length I-a from the same starting point. This means that
b) Note that, as a consecuence of what we calculate in the previous item, X has a uniform distribution with parameter I/2, therefore, the probability density function f is
f(x) = 1/(I/2) = 2/I
Answer:54
Step-by-step explanation:
Answer:
The top system of equations has one solution, the middle system has infinitely many, and the bottom system has no solution.
Step-by-step explanation:
We can immediately see the top system has one solution because the two equations have different slopes.
For the middle system, we can rearrange terms and multiply by 3 to get that the equations are the same line, so there are infinitely many solutions.
Finally, we can move the -2x to the other side in the first equation of the bottom system to get 2x+y=5. But it also equals -7 from the second equation! This is impossible, so there are no solutions to the bottom system.
Answer
16
Step-by-step explanation:
AB equals BC because they make up 64.
BC equals BD because they make up X.
X equals 16 because if you divide by 4 you get 16.