An experiment consists of twoindependentthe first trial are A, B, and C, withprobabilitiesof occurring equal to 0.2,0.4, and 0.4, respectively. Theoutcomes of the second trial are E andF, with probabilities of occurring equalto 0.5 and 0.5. Draw a tree diagramrepresenting this experiment. Use thistree diagram to find the probabilitiesbelow.(a) P(B)(b) P(FB)(c) P(BF)trials. The outcomes of(d) P(F)

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The outcomes of two variables are (Low, Medium, High) and (On, Off), respectively. An experiment is conducted in which the outcomes of each of the two variables are observed. The probabilities associated with each of the six possible outcome pairs are given in the accompanying two-way table. Consider the events below. Complete parts a through h. On Off Low 0.51 0.26 Medium 0.12 High 0.03 0.07 0.01 A: {Medium} C: {Off and Low} B: {Medium or On} D: {High} P(A) = .15 (Type an exact answer in simplified form.) b. Find P(B). P(B) = .73 (Type an exact answer in simplified form.) c. Find P(C). P(C) = .26 (Type an exact answer in simplified form.) d. Find P(D). P(D) = .08 (Type an exact answer in simplified form.) Incorrec e. Find P(AC) P(A©) = 0.85 (Type an exact answer in simplified form.) f. Find P(AUB). 2) P(AUB) = 0.73 (Type an exact answer in simplified form.) 2) g. Find P(ANC). 1) P(ANC) = (Type an exact answer in simplified form.)
The accompanying tree diagram represents a two-stage experiment. (Let x = 0.3, y = 0.7, r = 0.7, s = 0.3, t = 0.4, and w = 0.6.) Use the diagram to find the following probabilities. (Round your answers to three decimal places.) (a) Find P(A) · P(D | A).(b) Find P(B) · P(D | B).(c) Find P(A | D).
An experiment consists of two independent trials. The outcomes of the first trial are A, B, and C, with probabilities of occurring equal to 0.2, 0.4, and 0.4, respectively. The outcomes of the second trial are E and F, with probabilities of occurring equal to 0.7 and 0.3. Draw a tree diagram representing this experiment. Use this tree diagram to find the probabilities below. (a) P(B)(b) P(F | B)(c) P(B F)(d) P(F)(e) Does P(B F) = P(B) · P(F)? YesNo (f) Are B and F independent events? YesNo
The accompanying tree diagram represents an experiment consisting of two trials. Use the diagram to find the probabilities below. (a) P(A)(b) P(E | A)(c) P(A E)(d) P(E)
In an inspection of automobiles in a certain Country, 60% of all automobiles had emissions that did not meet EPA regulations. For a random sample of 10 automobiles, compute the following probabilities: a. All 10 automobiles failed the inspection. b. Exactly 6 of the 10 failed the inspection. c. Six or more failed the inspection. d. All 10 passed the inspection.
A market in Boston orders oranges from Florida. The oranges are shipped to Boston from Florida by either railroad, truck, or airplane; an order can take 1, 2, 3, or 4 days to arrive in Boston once it is placed. The following probabilities have been assigned to the number of days it takes to receive an order once it is placed (referred to as lead time): Lead Time Probability 1 .20 2 .50 3 .20 4 .10 1.00 Compute the expected number of days it takes to receive an order and the standard deviation.

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