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 six surfboards,and let event B be that he produces less than eight surfboards.Which of the following statements is true?
A)P(A ∩
B)= 0.75
B)Events A and B are collectively exhaustive.
C)P( )= 0.53
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 six surfboards,and let event B be that he produces less than eight surfboards.Which of the following statements is true?
A)P(A ∩
B)= 0.75 
B)Events A and B are collectively exhaustive. 
C)P( )= 0.53 
D)Events A and B are mutually exclusive.

Quizplus · Accepted Answer

Events A and B are collectively exhaustive, meaning that they cover all possible outcomes. If Ted produces more than six surfboards or less than eight surfboards, then he must produce between seven and eight surfboards, which is not possible. Therefore, the only possible outcome is either A or B, making them collectively exhaustive. The other options are not true based on the given information.