7: If ?(?) = 0.35 , ?(?) = 0.25, and the events ? and ? are disjoint (mutually exclusive), then ?(? ?? ?) = _________.
Solution:
P(A) = 0.35
P(B) = 0.25
P(A or B) = P(A) + P(B)
= 0.35 + 0.25 = 0.6
P(A or B) = 0.6
(7) The events A and B are mutually exclusive (disjoint). If P(A) = 0.7 and P(B) = 0.2, what is P(A or B)? A) 0.14 B) 0 C) 0.9 D) 0.5 (8) The events A and B are mutually exclusive (disjoint). If P(A) = 0.2 and P(B) = 0.1, what is P(A and B)? A) 0.02 B) 0 C) 0.5 D) 0.3 (9) A probability experiment is conducted in which the sample space of the experiment is S = {1,...
Events A and B are mutually exclusive. Suppose event A occurs with probability 0.35 and event B occurs with probability 0.17 a. Compute the probability that B occurs but A does not occur b. Compute the probability that either A occurs without B occurring or B occurs without A occurring (If necessary, consult a list. of formulas.)
Events A and B are mutually exclusive. Suppose event A occurs with probability 0.35 and event B occurs with probability 0.17 a. Compute the probability that B occurs but A does not occur b. Compute the probability that either A occurs without B occurring or B occurs without A occurring (If necessary, consult a list. of formulas.)
Are the two events below disjoint (mutually exclusive) for a single trial? • Rolling an odd number with two dice. • Rolling a factor of 12 with two dice. Select one: o a. No, they are not disjoint. b. Yes, they are disjoint.
If
A & B are mutually exclusive events, P(A or B) = .7, P (A) =.2
then P(B) =
If A and B are mutually exclusive events,P (A or B) - 7, P (A)- 2, then P (B)- O 0.9 O 0.5 O 0.0 ○ 0.14 O None of above
Let A and B be two disjoint events such that P(A) = 0.25 and P(B) = 0.45. What is P(A or B)?
There are two events, A and B, where we know that P(A) > 0 and P(B) > 0. If we know these events are mutually exclusive (disjoint), then we can conclude that these events are: A. independant b. dependant c. both independant and dependant d. neither (we cannot know without the values)
Suppose the events A and B are disjoint with P(A) = 0.5 and P(B) = 0.25. Find the probability of A or B occurring, P(A or B).
Find the formula for the following statements, or if they do not have a formula: a. "or" when you have disjoint or mutually exclusive events b. "probability" c. "and" when you have dependent events d. "or" when the events are not disjoint or not mutually exclusive events e. "binomial mean" f. "the fundamental counting principle" g. "and" when you have independent events h. "given"
Question 4 You are given the following information on Events A, B, C, and D. P(A) = .5 P(B) = .3 P (C) = .15 P(A U D) = .7 P(A ∩ C) = 0.05 P (A │B) = 0.22 P (A ∩ D) = 0.25 Compute P(D). Compute P(A ∩ B). Compute P(A | C). Compute the probability of the complement of C. What does it mean to be mutually exclusive? Give an example of two events that are...