Concept explainers
Use the function in Problem 9 to find the indicated probabilities.
(A)
(B)
(C)
9.
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Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- Suppose 10% of the population of WVU students has tested positive for COVID-19, W1 represents the part of the population that has tested positive and W2 represents those who tested negative. X denotes a test result that the person has tested positive for COVID-19. P(W1) = 0.10 individual tested positiveP(W2) = 0.90 Individual tested negativeP(X|W1) = 0.80 test shows the individual tested positive and is correctP(X|W2) = 0.30 test incorrectly shows the individual is positiveRandomly select an individual and preform the test. The result shows the person tested positive, what is the probability that the test is correct? Use Bayes' theorem to solve.arrow_forwardIf ƒ = {(1, − 1), ( − 3, ¹), the following values of f and g. a. f(1) b. g(2) = c. g = 3 9 (²1) 4 d. f(2) e. g( − 3) = = f. f(T) = (2, , (2, 1), (5, 1)} = and g = Preview = {(2, -1), − 1), ( – 3, − 2), (³, − ¹)}, 1 find each ofarrow_forward3. Given p(x) = (1+ 2x)*.arrow_forward
- 2. f(x)=-5* +3arrow_forwardSuppose that the functions s and t are defined for all real numbers x as follows. s (x)%3x-5 t (x) =3x+3 Write the expressions for (s-t)(x) and (s t)(x) and evaluate (s+t)(4). (+-)(+) = [0 %3D (s-t)(x) = [ %3D (s+t)(4) = [ %Darrow_forwardPr[A]=7/9 Pr[B]=2/9 Pr[a|A]=3/5 Pr[b|A]=2/5 Pr[a|B]=1/3 Pr[b|B]=2/3 Find the following missing probabilities: (1) Pr[B]= (2) Pr[b]= (3) Pr[b|B]= (4) Pr[B|b]=arrow_forward
- Consider the following function for a value of k.f(x) ={3kx/7, 0 ≤ x ≤ 1 3k(5 − x)/7 , 1 ≤ x ≤ 30, otherwise.Comment on the output of these probabilities below, what will be theconclusion of your output.(i)Evaluate k.(ii)find (a) p(1 ≤ x ≤ 2) (b) p(x > 2). (u) p(x ≤ 8/3).arrow_forward4. Use Lagrang interpolation method to find f(1) based on the following data: -3 2 -1 3 ソ=fx)| 1 2 4 8.arrow_forwardA startup has a group of 24 women and 'm' men.Probability of choosing one men among the group is (1/4).Suppose one men more is added to the group,then the probability of choosing one men and one women from that group is I x+13.Find the value of √√x>0arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,