Round 49.87654321 to the nearest tenth
1 answer:
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Answer
(a)
(b)
Step-by-step explanation:
(a) δ(t)
where δ(t) = unit impulse function
The Laplace transform of function f(t) is given as:
where a = ∞
=>
where d(t) = δ(t)
=>
Integrating, we have:
=>
Inputting the boundary conditions t = a = ∞, t = 0:
(b)
The Laplace transform of function f(t) is given as:
Integrating, we have:
Inputting the boundary condition, t = a = ∞, t = 0:
Answer:
And if we solve for a we got
Step-by-step explanation:
Let X the random variable that represent the lenght time it takes to find a parking space at 9AM of a population, and for this case we know the distribution for X is given by:
Where and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.7 of the area on the left and 0.3 of the area on the right it's z=0.524
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got