For the given pair of events A and B, complete parts (a) and (b) below. When a p
ID: 3256467 • Letter: F
Question
For the given pair of events A and B, complete parts (a) and (b) below. When a page is randomly selected and ripped from a 22 page document and destroyed, it is page 7. When a different page is randomly selected and ripped from the document it is page 1. Determine whether events A and B are independent or dependent (if two events are technically dependent but can be treated as if they are independent according to the 5% guidelines, consider them to be independent.) Find P(A and B) the probability that events A and B both occur. Choose the correct answer below. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. The two events are dependent because the occurrence of one does not affect the probability of the occurrence of the other. The two events are dependent because the occurrence of one affect the probability of the occurrence of the other. The two events are independent because the occurrence of one affect the probability of the occurrence of the other.Explanation / Answer
A= random selection of page 7 and destroying of an Event Probability = 1/22
B = Selection of Different page of 1 selection Probability after A = 1/21 (Because event A was Destroyed)
P(A) = 1/22
P(B) = 1/21
The selection of an condiitonal Probability = P(A and B) = P(A) * P(B) = 1/22*1/21= 1/462
The probability of chosing P(B) is dependent on P(A) because it was first pick.
Independent of 5% Guidlines refers that the proabbability of sample should be less than 0.05
P(A) = 0.0454 and P(B) =0.0476
As per Guidelines both are independent to each other.
B) P(A and B) = P(B) * P(B) = 1/462
Answer is D. It can be called as Independent. It was meeting of 5% of independent Guidelines.