webwork.carroll.edu WeBWork: MA207 Dill Sect2-4CondProb :9 calc - Google Search
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webwork.carroll.edu WeBWork: MA207 Dill Sect2-4CondProb :9 calc - Google Search 1 point) A tent manufacturer knows from... incorrect Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 At least one of the answers above is NOT correct. 3 of the questions remain unanswered (1 point) A tent manufacturer knows from past data that there is an 1.8% chance of having a defect in the zipper of a tent and a 4.1 % chance of having a defect in the seam sealing treatment on the tent. The machines that do these parts of the tent manufacturing are independent of each other, but every tent gets both a zipper and a seam sealing treatment. (a) What is the probability that the tent will have a defective zipper AND a defective seam sealing treatment? 0.004838 (b) What is the probability that the tent will have neither a defective zipper nor a defective seam sealing treatment? 0.845838 (c) What is the probability of having at least one of the two possible defects? Hint: It might be easier to use the complement rule on this one P(notA) 1- P(A) 0.995162 (d) What is the probability of getting exactly 1 of the defects? Hint: If you have two events, A and B, and you want exactly one then calculate the probability of getting A and not B OR the probability of getting B and not A. (e) What is the probability of getting a zipper defect but not a seam sealing defect? (f) What is the probability of getting a seam sealing defect but not a zipper defect?Explanation / Answer
c) P(having at leas one defect) =1-P(no defect) =1-(1-0.118)*(1-0.041)=0.154162
d) P(exactly one) =P(zip[per defect and not sealing)+P(not zipper and sealing defect)
=0.118*(1-0.041)+(1-0.118)*0.041 =0.149324
e) Probability =0.118*(1-0.041)=0.113162
f) Probability =(1-0.118)*0.041 =0.036162
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