Question 13 (2 points) If two events are mutually exclusive, then their probabilities can be added...
IS THIS CORRECT? What is the difference between mutually exclusive events and collectively exhaustive events? Choose the correct choice below. O A. A set of events are mutually exclusive if the probability of each event in the set is not affected by the outcomes of the other events. A set of events are collectively exhaustive if at least one of the events must occur. OB. A set of events are mutually exclusive if they cannot occur at the same time....
O PROBABILITY Probabilities involving two mutually exclusive events Events A and B are mutually exclusive. Suppose event A occurs with probability 0.03 and event B occurs with probability 0.02. a. Compute the probability that A does not occur or B does not occur (or both). b. Compute the probability that neither the event A nor the event B occurs. (If necessary, consult a list of formulas.) 6 2
Two events with nonzero probabilities can be both mutually exclusive and independent cannot be both mutually exclusive and independent are always mutually exclusive cannot be both mutually exclusive and independent and are always mutually exclusive
Come up with an example of two mutually exclusive and collectively exhaustive events of your choice and assign their probabilities. Come up with a conditioning event and demonstrate how conditioning can change the probability of these events. Explain why that is the case. 2.
QUESTION If A and 8 are two mutually exclusive events and P(A) -0.5 and P(B) -0.3, then the probability of joint event AU 8 should be QUESTION 2 Does the following Venn Diagram correctly describe the event (AUB)nC O True False
Which rule of probability states that for two non-mutually exclusive events the probability of each event occurring is equal to the sum of their separate probabilities minus the probability of their joint occurrences? Bounding rule of probabilities Restricted multiplication rule of probabilities General addition rule of probabilities Restricted addition rule of probabilities
Let a sample space be partitioned into three mutually exclusive and exhaustive events, py, 2, and,Ie. Complete the following probability table. (Round your answers to 2 decimal places.) Conditional Probabilities Prior Joint P(Bi) 0.11 PIA B)0.46 P(An B) P(B I A) P(83 1 A) Total P(A)
In parts (a) and (b), identify whether the events are mutually exclusive, independent, or neither (events cannot be both mutually exclusive and independent). a) You and a randomly selected student from your class both earn A's in this course. neither independent mutually exclusive b) You and your class partner both earn A's in this course. neither mutually exclusive independent c) If two events can occur at the same time, they must be independent. false true
Events 4 and B are mutually exclusive. Suppose event A occurs with probability 0.5 and event B occurs with probability 0.41 a. Compute the probability that B occurs or A does not occur (or both). b. Compute the probability that neither the event A nor the event B occurs.
Let a sample space be partitioned into three mutually exclusive and exhaustive events, B1, B2, and, B3. Complete the following probability table. (Round your answers to 2 decimal places.) Prior Probabilities Conditional Probabilities Joint Probabilities Posterior Probabilities P(B1) = 0.11 P(A | B1) = 0.45 P(A ∩ B1) = P(B1 | A) = P(B2) = P(A | B2) = 0.62 P(A ∩ B2) = P(B2 |A) = P(B3) = 0.38 P(A | B3) = 0.85 P(A ∩ B3) = P(B3...