question 3 of 5 select the correct answer. consider the probabilities shown below. p(a)=0.15 p(b)=0.34 p(a…

question 3 of 5 select the correct answer. consider the probabilities shown below. p(a)=0.15 p(b)=0.34 p(a and b)=0.051 which of the following correctly justifies that a and b are independent events? a and b are not independent events. since p(a|b)=p(b) and p(b|a)=p(a), a and b are independent events. since p(a|b)=p(b|a), a and b are independent events. since p(a|b)=p(a) and p(b|a)=p(b), a and b are independent events.

question 3 of 5 select the correct answer. consider the probabilities shown below. p(a)=0.15 p(b)=0.34 p(a and b)=0.051 which of the following correctly justifies that a and b are independent events? a and b are not independent events. since p(a|b)=p(b) and p(b|a)=p(a), a and b are independent events. since p(a|b)=p(b|a), a and b are independent events. since p(a|b)=p(a) and p(b|a)=p(b), a and b are independent events.

Answer

Explanation:

Step1: Recall the condition for independent events

For two events (A) and (B) to be independent, (P(A\cap B)=P(A)\times P(B)).

Step2: Calculate (P(A)\times P(B))

Given (P(A) = 0.15) and (P(B)=0.34), then (P(A)\times P(B)=0.15\times0.34 = 0.051). Since (P(A\cap B)=0.051), the events (A) and (B) are independent.

Answer:

Since (P(A\cap B)=P(A)\times P(B)), (A) and (B) are independent events.