Question

Statistic - Use the values in the contingency table to solve the equation given.

Answer 1

Explanation:

`\begin{array}c&D&E&Sum\\---&---&---&---\\A&10&20&30\\B&15&5&20\\C&30&15&45\\---&---&---&---\\Sum&55&40&95\\\end {array}\\\\\\1) P(E)=(40)/(95) =(8)/(19) \\\\2) P(B \cup D)=P(B)+P(D)-P(B \cap D)=(20)/(95) +(55)/(95) -(15)/(95) =(60)/(95) =(12)/(19) \\\\3) P(A \cap E)=(20)/(95)=(4)/(19) \\\\4) P(B | E)=(P(B \cap E ))/(P(E)) =((5)/(95) )/((40)/(95) ) =(5)/(40)= (1)/(8) \\\\5) P(D|E)=0`