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https://www4.stat.ncsu.edu/~bmasmith/ST371S11/371summary_feb03.pdf
Next we talked about Independent events. Two events are independent if P(AB) = P(A) Ex) Probability that card drawn in event A is a Jack given event B was the drawing of a red card. Pr(AB) = Pr(𝐴∩𝐵) Pr (𝐵) = 2 52 26/52 = 1/13 It was stated that if A and B are mutually exclusive -> (A∩B) = 0 then A
https://www.math.ucdavis.edu/~gravner/MAT135B/materials/ch18.pdf
event), (b) P(the 10th event occurs 2 or more time units after the 9th event), (c) P(the 10th event occurs later than time 20), and (d) P(2 events in [1,4] and 3 events in [3,5]). The answer to (a) is 10 λ by Proposition 18.1. The answer to (b) is e −2λ, as one can restart the Poisson process at any event. The answer to (c) is P(S10 > 20 ...File Size: 106KB
https://byjus.com/ncert-solutions-class-11-maths/chapter-16-theory-of-probability/
Apr 11, 2017 · Given P(A) = 5/3 and P(B) = 1/5 . Find P(A or B), if A and B are mutually exclusive events. Solution:-From the question it is given that, P(A) = 5/3 and P(B) = 1/5. Then, P(A or B), if A and B are mutually exclusive. P(A∪B) or P(A or B) = P(A) + P(B) = (3/5) + (1/5) = 4/5. 15. If E and F are events such that P(E) = ¼ , P(F) = ½ and P(E and ...Estimated Reading Time: 2 mins
https://www.chegg.com/homework-help/questions-and-answers/sfor-two-events-b-p-08-p-b-02-p-b-016-follows-b-18-disjoint-independent-b-disjoint-indepen-q33993547
E) independent but not disjoint. 19) Suppose that the probability that a particular brand of vacuum cleaner fails before 10000 hours of use; Question: sFor two events A and B, P(A) -0.8, P(B) 0.2, and P(A and B)-0.16. It follows that A and B are 18 A) disjoint but not independent. B) both disjoint and independent.
https://www.math.fsu.edu/~wooland/hm2ed/Part3Module5/Part3Module5.pdf
THE MULTIPLICATION RULE FOR INDEPENDENT EVENTS If E and F are independent events, then ! P(E and F)=P(E)"P(F) EXAMPLE 3.5.2 Recall this (authentic) data from the Natural Resources Defense Council: 40% of bottled water samples are merely tap water. 30% of bottled water samples are contaminated by such pollutants as arsenic and fecal bacteria.File Size: 350KB
https://www.calculator.net/probability-calculator.html
The intersection of events A and B, written as P(A ∩ B) or P(A AND B) is the joint probability of at least two events, shown below in a Venn diagram. In the case where A and B are mutually exclusive events, P(A ∩ B) = 0. Consider the probability of rolling a 4 and 6 on a single roll of a die; it is not possible.
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