Answer:
The percentage of people having cholera is 89.19%.
Step-by-step explanation:
According to the Bayes' theorem the total probability of <em>A</em> is:
![P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})](https://tex.z-dn.net/?f=P%28A%29%3DP%28A%7CB%29P%28B%29%2BP%28A%7CB%5E%7Bc%7D%29P%28B%5E%7Bc%7D%29)
Let <em>X</em> = a person has chorea and <em>Y</em> = the test is positive.
Given:
![P(X^{c}|Y)=0.05\\P(X|Y^{c})=0.12\\P(Y)=0.93](https://tex.z-dn.net/?f=P%28X%5E%7Bc%7D%7CY%29%3D0.05%5C%5CP%28X%7CY%5E%7Bc%7D%29%3D0.12%5C%5CP%28Y%29%3D0.93)
The value of
is:
![P(X|Y)=1-P(X^{c}|Y)=1-0.05=0.95](https://tex.z-dn.net/?f=P%28X%7CY%29%3D1-P%28X%5E%7Bc%7D%7CY%29%3D1-0.05%3D0.95)
Compute the value of P (X) as follows:
![P(X)=P(X|Y)P(Y)+P(X|Y^{c})P(Y^{c})\\=(0.95\times0.93)+(0.12\times(1-0.93))\\=0.8835+0.0084\\=0.8919](https://tex.z-dn.net/?f=P%28X%29%3DP%28X%7CY%29P%28Y%29%2BP%28X%7CY%5E%7Bc%7D%29P%28Y%5E%7Bc%7D%29%5C%5C%3D%280.95%5Ctimes0.93%29%2B%280.12%5Ctimes%281-0.93%29%29%5C%5C%3D0.8835%2B0.0084%5C%5C%3D0.8919)
The percentage of people suffering form cholera is, 0.8919 × 100 = 89.19%.
Thus, the percentage of people having cholera is 89.19%.
The answer is: B sorry if I’m wrong
No. The third expression x^-3 + 4x is not a polynomial because the exponent is -3. Polynomials can have exponents but only 0, 1, 2, 3, and the rest of the positive integers are allowed. They can have constants and variables that can be combined by the four basic operations except division by a variable like 1/x or like the third expression x^-3 + 4x which is also 1/x^3 + 4x. The other three given expressions are polynomials.