Answer:
See below.
Step-by-step explanation:
1)
So we have the limit:
This is equivalent to:
To solve, we can use the following property:
Therefore, our limit is the same as:
We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:
You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.
Similarly, for the second one:
2)
We have:
Using the same property:
And we are told that this is 16, so:
And we just need to evaluate this to find the limit.
I hope you find this helpful!
Answer:
a) 
b) 
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). It is a particular case of the gamma distribution". The probability density function is given by:
And 0 for other case. Let X the random variable that represent "life lengths of automobile tires of a certain brand" and we know that the distribution is given by:
The cumulative distribution function is given by:
Part a
We want to find this probability:
and for this case we can use the cumulative distribution function to find it like this:
Part b
For this case w want to find this probability
We have an important property on the exponential distribution called "Memoryless" property and says this:
On this case if we use this property we have this:
We can use the definition of the density function and find this probability:
Answer:
-x+4
Step-by-step explanation:
x-2y
y= x-2
x-2(x-2)
x-2x+4
-x+4
Answer:
490
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
