Basic Business Statistics, Student Value Edition (13th Edition)
13th Edition
ISBN: 9780321946393
Author: Mark L. Berenson, David M. Levine, Kathryn A. Szabat
Publisher: PEARSON
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Chapter 4, Problem 20PS
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P(A) = 0.4 and P(B) = 0.6. If A and B are independent, what is P(A given B)?
P(A) = 0.4 and P(B) = 0.6. If A and B are mutually exclusive, what is P(A or B)?
Let P (A) = 0.4 and P (A ∪ B) = 0.6. For what value of P (B) are A and B independent?
Chapter 4 Solutions
Basic Business Statistics, Student Value Edition (13th Edition)
Ch. 4 - Three coins are tossed. a. Give an example of a...Ch. 4 - An urn contain 12 red balls and 8 white balls. One...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - For each of the following, indicate whether the...Ch. 4 - For each of the following, state whether the...Ch. 4 - Prob. 7PSCh. 4 - Do males or females feel more tense or stressed...Ch. 4 - Prob. 9PSCh. 4 - How will marketers change their social media use...
Ch. 4 - Referring to the contingency table in Problem...Ch. 4 - Prob. 12PSCh. 4 - Prob. 13PSCh. 4 - Prob. 14PSCh. 4 - Each year ratings are compiled concerning the...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - Consider the following contingency table: What is...Ch. 4 - If P(AandB)=0.4andP(B)=0.8,findP(AB).Ch. 4 - Prob. 19PSCh. 4 - ...Ch. 4 - Do males or females feel more tense or stressed...Ch. 4 - Prob. 22PSCh. 4 - Prob. 23PSCh. 4 - Prob. 24PSCh. 4 - Prob. 25PSCh. 4 - Each year, rating are compiled concerning the...Ch. 4 - Prob. 27PSCh. 4 - A standard deck of cards is being used to play a...Ch. 4 - Prob. 29PSCh. 4 - ...Ch. 4 - ...Ch. 4 - In Example 4.10 to suppose that the probability...Ch. 4 - Prob. 33PSCh. 4 - Olive Construction Company is determining whether...Ch. 4 - Prob. 35PSCh. 4 - The editor of a textbook published company is...Ch. 4 - A municipal bond service has three rating...Ch. 4 - If there are 10 multiple-choice question on an...Ch. 4 - A lock on a bank vault consists of three dials,...Ch. 4 - a. If a coin is tossed seven times, how many...Ch. 4 - A particular brand of women’s jeans is available...Ch. 4 - Prob. 42PSCh. 4 - Prob. 43PSCh. 4 - Prob. 44PSCh. 4 - Referring to Problem 4.44 how many different...Ch. 4 - A gardener has six rows available in his vegetable...Ch. 4 - Prob. 47PSCh. 4 - Four member of a group of 10 people are to be...Ch. 4 - A student has seven books that she would like to...Ch. 4 - A daily lottery is conducted in which 2 winning...Ch. 4 - Prob. 51PSCh. 4 - What are the differences between a priori...Ch. 4 - What is the difference between a simple event and...Ch. 4 - How can you use the general addition rule to find...Ch. 4 - What is the difference between mutually exclusive...Ch. 4 - How does conditional probability relate to the...Ch. 4 - How does the multiplication rule differ for events...Ch. 4 - How can you use Bayes theorem in light of new...Ch. 4 - In Bayes’ theorem, how does the prior...Ch. 4 - A survey by the Health Research Institute at...Ch. 4 - SHL Americas provides a unique, global perspective...Ch. 4 - Prob. 62PSCh. 4 - Prob. 63PSCh. 4 - Prob. 64PSCh. 4 - Prob. 65PS
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- aIf HP=4, PJ=5, and PM=2, find LP. _ bIf HP=x+1, PJ=x1, LP=8, and PM=3, find x. _arrow_forwardSolve for X in the Equation, given A=-2-1103-4 and B=0320-4-1 a X=3A2B b 2X=2AB c 2X+3A=B d 2A+4B=-2Xarrow_forward1. Let P(A) = 0.4 and P(AUB) = 0.6. For what value of P(B) B independent? are A andarrow_forward
- It was determined that P(B) = P(A₁B) + P(A₂B). It was previously found that P(A₁B) = 0.2 and P(A₂B) = 0.02. Use these values to find P(B). P(B) = P(A₁B) + P(A₂n B) = 0.2 +arrow_forwardWhich pair of the hypotheses would be correct for the following claim: Claim: The percentage of cars sold with manual transmission is 2018 (group 1) is lower than the percentage of cars sold with manual transmission in 2010 (group 2) A. H0 :p1 −p2 =0andH1 :p1 −p2 <0 B. H0 :p1 −p2 <0andH1 :p1 −p2 =0 C. H0 :p1 −p2 =0andH1 :p1 −p2 ̸=0 D. H0 :p1 −p2 ̸=0andH1 :p1 −p2 =0 E. H0 :p1 −p2 =0andH1 :p1 −p2 >0 F. H0 :p1 −p2 >0andH1 :p1 −p2 =0arrow_forwardGiven that p(A)=.31, p(B│A) =.39, and p(A│B) =.31, are A and B (a) independent? (b) exclusive?arrow_forward
- 6. Given that P(A) =0.2, P(A and B) = 0.1 and P(A or B) = 0.6, find P(B).arrow_forwardAn automobile service facility specializing in engine tune-ups knows that 50% of all tune-ups are done on four-cylinder automobiles, 20% on six-cylinder automobiles, and 30% on eight-cylinder automobiles. Let X = the number of cylinders on the next car to be tuned. What is the pmf of X?arrow_forwardIf, (V₁ X V₂) · V3 = 6.5 then what is (V3 X V₁). V₂? ○ (0,0,0) Cannot be found with the given information -6.5 6.5arrow_forward
- 8 Given that p(AB)=0, and p(A)=.15, are A and B (a) independent? (b) exclusive?arrow_forwardA botanist wants to determine if a fertilizer is effective in Which of the following is a valid conclusion? the growth of plants. He randomly selects 100 of the same type of seedling and randomly assigns them to two groups: one that uses the fertilizer, and one that does not. He makes sure the plants all have the same amount of water, soil, and light for two months. At the end of two months, he measures the heights of the plants and finds that the ones receiving the fertilizer are O Inferences can be made for all plants, and the conclusion can be drawn that the fertilizer will help all plants grow taller. O Inferences cannot be made for all plants, and the conclusion cannot be drawn that the fertilizer will help these plants grow taller. Inferences can be made for these types of plants, significantly taller. and the conclusion can be drawn that the fertilizer will help these types of plants grow taller. Inferences cannot be made for these types of plants, 29 and the conclusion cannot…arrow_forwardSupposethatAandBaretwoindependenteventswithP(A) = 0.3andP(B) = 0.3. Calculate(a) P(A and B) (b) P(A or B) (c) P(A and Bc) (d) P(Ac or Bc)arrow_forward
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