type the correct answer in the box. spell all words correctly. while driving from his home to his workplace…

type the correct answer in the box. spell all words correctly. while driving from his home to his workplace, chris has to pass through two traffic lights. the general probability of getting a red signal at the first traffic light (event a) is 36%. the general probability of getting a red signal at the second traffic light (event b) is 25%. the probability of chris getting a red signal at both traffic lights is 9%. in this scenario, a and b are events.

type the correct answer in the box. spell all words correctly. while driving from his home to his workplace, chris has to pass through two traffic lights. the general probability of getting a red signal at the first traffic light (event a) is 36%. the general probability of getting a red signal at the second traffic light (event b) is 25%. the probability of chris getting a red signal at both traffic lights is 9%. in this scenario, a and b are events.

Answer

Explanation:

Step1: Recall the definition of independent events

Two events (A) and (B) are independent if (P(A\cap B)=P(A)\times P(B)).

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

Given (P(A) = 0.36) and (P(B)=0.25), then (P(A)\times P(B)=0.36\times0.25 = 0.09).

Step3: Compare with (P(A\cap B))

We are given that (P(A\cap B) = 0.09). Since (P(A\cap B)=P(A)\times P(B)), events (A) and (B) are independent.

Answer:

independent