THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Ted's Surfboard Shop makes surfboards by hand.The number of surfboards that Ted makes in a week depends on the wave conditions.Ted has estimated the following probabilities for surfboard production for the next week.

-Let event A be that Ted produces more than seven surfboards and let event B be that he produces exactly six surfboards.Which of the following statements is true?
A)P(A ∩
B)=0.31
B)events A and B are collectively exhaustive
C)P( ∪ )=0.44
D)events A and B are mutually exclusive

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Ted's Surfboard Shop makes surfboards by hand.The number of surfboards that Ted makes in a week depends on the wave conditions.Ted has estimated the following probabilities for surfboard production for the next week.
 
-Let event A be that Ted produces more than seven surfboards and let event B be that he produces exactly six surfboards.Which of the following statements is true?
A)P(A ∩
B)=0.31 
B)events A and B are collectively exhaustive 
C)P( ∪ )=0.44 
D)events A and B are mutually exclusive

Quizplus · Accepted Answer

Events A and B cannot occur at the same time, as producing more than seven surfboards would include producing six surfboards. Therefore, events A and B are mutually exclusive. P(A ∩ B) would be zero as the two events cannot occur together. Option C is not relevant to events A and B. Option B is not true because there are other events that could occur that are not included in events A and B.