question 4 of 8 select the correct answer. consider the probabilities shown below. p(a)=0.15 p(b)=0.34 p(a…

question 4 of 8 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? 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. a and b are not independent events. since p(a|b)=p(a) and p(b|a)=p(b), a and b are independent events.

question 4 of 8 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? 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. a and b are not independent events. since p(a|b)=p(a) and p(b|a)=p(b), a and b are independent events.

Answer

Explanation:

Step1: Recall independence formula

For two independent events (A) and (B), (P(A\cap B)=P(A)\times P(B)). Calculate (P(A)\times P(B)): (0.15\times0.34 = 0.051). Since (P(A\cap B)=0.051) and (P(A\cap B)=P(A)\times P(B)), events (A) and (B) are independent.

Answer:

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