Answer:
Step-by-step explanation:
Given the integrand , before evaluating the integral function, we will need to simplify the function first by applying long division as shown in the attachment.
Hence the partial form of the function
Integrating its partial sum
<em>NB: Find the partial sum calculation also in the attachment. </em>
To begin with, let us look at a few definitions that will help
A relation is a function if each x-value is paired with exactly one y-value. A vertical line test on a graph can be used to determine whether a relation is a function.
If we use a graph to check, we will have
We can see that there is no overlapping of coordinates. The table satisfies the vertical line test.
Hence, it is a function
The domain and range of function is the set of all possible inputs and outputs of a function respectively. The domain and range of a function y = f(x) is given as domain= {x ,x∈R }, range= {f(x), x∈Domain}.
The domain of the function, D is given by
The range, R is given by
Using the uniform distribution, we have that:
a) The density curve is given at the end of this question.
b) 16.67% of the time does a customer have to wait between 100 and 120 seconds.
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The uniform distribution has two bounds, a and b, and the probability of finding a value between c and d is given by:
The proportion between 100 and 120 seconds is:
0.1667*100% = 16.67%
16.67% of the time does a customer have to wait between 100 and 120 seconds.
A similar problem is given at brainly.com/question/15855314
