NIOS/गणित -x
2 answers:
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<h2>Answer:</h2>
A function from a set
to a set
is a relation that assigns to each element
in the set
exactly one element
in the set
. The set
is the domain (also called the set of inputs) of the function and the set
contains the range (also called the set of outputs). On the other hand, a function has an inverse function if and only if passes the Horizontal Line Test for Inverse Functions. This test tells us that a function
has an inverse function if and only if there is no any horizontal line that intersects the graph of
at more than one point. So the function is called one-to-one. The graph of
is shown below. As you can see, this function does not pass the Horizontal Line Test, therefore the inverse is not a function. However, let's find
:
and this is not a function because there are elements in the set of inputs that match with two elements in the set of outputs.
Answer:
The percent of the people who tested positive actually have the disease is 38.64%.
Step-by-step explanation:
Denote the events as follows:
<em>X</em> = a person has the disease
<em>P</em> = the test result is positive
<em>N</em> = the test result is negative
Given:
Compute the value of P (P|X) as follows:
Compute the probability of a positive test result as follows:
Compute the probability of a person having the disease given that he/she was tested positive as follows:
The percentage of people having the disease given that he/she was tested positive is, 0.3864 × 100 = 38.64%.