Probability and Statistics Chapter 4

Probability and Statistics Chapter 4 Probability Question and Answer 2023. Event Correct Answer: Any collection of results or outcomes of a procedure Simple Event Correct Answer: An outcome or event that cannot be further broken down into simpler components Sample Space Correct Answer: Consists of all outcomes for which the events cannot be broken down further P Correct Answer: Denotes a probability A,B,C,etc. Correct Answer: denotes specific events P(A) Correct Answer: Denotes the probability of event A occurring Example: If you flip a coin, what is the probability it will land on heads? Correct Answer: Event H=coin lands on heads Write as P(H) and read as "P of H" Fundamental Counting Principle Correct Answer: If one event can occur in m ways and a second event can occur in n ways, the number of ways the two events can occur is m * n Tree Diagram Correct Answer: A picture of the possible outcomes of a procedure, shown as line segments branching out from one starting point Law of large numbers Correct Answer: In the long run, as sample size increases, the relative frequencies of outcomes get closer and closer to the theoretical (classical) probability value. Example: if you flip a coin 20 times, the actual number of heads you may get Correct Answer: is 8, thus the P(heads) = 8/20=.40=40% As you increase the sample size, the outcomes of actually getting heads will get closer and closer to the classical probability of 1/2=.50=50% Probability of an impossible event is Correct Answer: 0