Asked by Tempyst Douglas on Jul 08, 2024
Verified
Ignoring twins and other multiple births,assume babies born at a hospital are independent events with the probability that a baby is a boy and the probability that a baby is a girl both equal to 0.5.Define events A = {the next two babies are boys} and B = {at least one of the next two babies is a boy}.What do we know about events A and B?
A) They are disjoint.
B) They are complements.
C) They are independent.
D) None of the above
Independent Events
Two or more events in probability that have no effect on the likelihood of one another occurring.
Babies Born
A demographic measure referring to the number of live births occurring during a specific time period.
Probability
The measure of the likelihood that an event will occur, quantified as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.
- Understand and apply the principles of disjoint and non-disjoint occurrences within probabilistic scenarios.
Verified Answer
BP
Brittany PrestonJul 13, 2024
Final Answer :
D
Explanation :
Events A and B are not mutually exclusive, so they cannot be disjoint. They are also not complements, as the complement of event B would be "neither of the next two babies is a boy". Event A and Event B are not independent, since the occurrence of Event A affects the probability of Event B (if Event A occurs, then Event B also occurs). Therefore, the answer is D, "None of the above".
Learning Objectives
- Understand and apply the principles of disjoint and non-disjoint occurrences within probabilistic scenarios.