The answer is 59049 hope this helps
Answer:
=
+
+
Step-by-step explanation:
=multiple ways to climb a tower
When n = 1,
tower= 1 cm
= 1
When n = 2,
tower =2 cm
= 2
When n = 3,
tower = 3 cm
it can be build if we use three 1 cm blocks
= 3
When n = 4,
tower= 4 cm
it can be build if we use four 1 cm blocks
= 6
When n > 5
tower height > 4 cm
so we can use 1 cm, 2 cm and 4 cm blocks
so in that case if our last move is 1 cm block then
will be
n —1 cm
if our last move is 2 cm block then
will be
n —2 cm
if our last move is 4 cm block then
will be
n —4 cm
=
+
+
Answer:
tex]M=\beta ln(2)[/tex]
Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate).
Solution to the problem
For this case we can use the following Theorem:
"If X is a continuos random variable of the exponential distribution with parameter
for some
"
Then the median of X is 
Proof
Let M the median for the random variable X.
From the definition for the exponential distribution we know the denisty function of X is given by:

Since we need the median we can put this equation:

If we evaluate the integral we got this:
![\frac{1}{\beta} \int_0^M e^{- \frac{x}{\beta}}dx =\frac{1}{\beta} [-\beta e^{-\frac{x}{\beta}}] \Big|_0^M](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Cbeta%7D%20%5Cint_0%5EM%20e%5E%7B-%20%5Cfrac%7Bx%7D%7B%5Cbeta%7D%7Ddx%20%3D%5Cfrac%7B1%7D%7B%5Cbeta%7D%20%5B-%5Cbeta%20e%5E%7B-%5Cfrac%7Bx%7D%7B%5Cbeta%7D%7D%5D%20%5CBig%7C_0%5EM)
And that's equal to:

And if we solve for M we got:


If we apply natural log on both sides we got:

And then 