Bayes' Theorem is given by P(A|B)=P(B|A)⋅P(A)P(B). Use a two-way table to write an example of Bayes' Theorem.

Best solutions to - "Bayes' Theorem is given by P(A|B)=P(B|A)⋅P(A)P(B). Use a..."

naivlingr

Answered question

2020-10-20

Bayes' Theorem is given by $P (A | B) = \frac{P (B | A) \cdot P (A)}{P (B)}$ . Use a two-way table to write an example of Bayes' Theorem.

Answer & Explanation

aprovard

Skilled2020-10-21Added 94 answers

Possible answer: The two-way tables from exercise 7 was:

$\begin{array}{cc} L e f t & R i g h t & T o t a l \\ F e m a l e & 11 & 104 & 115 \\ M a l e & 24 & 92 & 116 \\ T o t a l & 35 & 196 & 231 \end{array}$

Two events could then be male (A) and right handed (B). From the table, $P (A) = \frac{116}{31}$ and $P (B) = \frac{196}{231}$ since there are 116 males and 196 right handed people. Since there are 92 right handed males and 116 males, then $P (B ∣ A) = \frac{92}{116}$ From the table, there are 196 right handed people and 92 of them are male so $P (A ∣ B) = \frac{92}{196} = \frac{23}{49} .$ Using Bayes’ Theorem, $P (B ∣ A) = \frac{P (B ∣ A) \cdot P (A)}{P (B)} = \frac{\frac{92}{116} \cdot \frac{116}{231}}{\frac{196}{231}}$ which is equal to the previous answer you found.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school statistics

Didn't find what you were looking for?