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- The probability of success in a certain game is p. The results in successive trials are independent Determine the generating function of Z and use the result to compute E(Z) and Var(Z) Let Z be the number of turns required in order to obtain r successes.Let X be a random variable from a Chi-Square Distribution with 13 degrees of freedom. Tatiana is interested in the random variable Y - aX + b. She knows that E(Y) = 24 and V(Y) = 416. What are all possible values of a and b that satisfy this criteria? Write your answer as an ordered pair, (a, b). If there are multiple solutions, separate the ordered pairs by а comma.Q1: Who is more likely to feel vulnerable after being a victim of a vialent crime? We hypothesize that blacks are more likely to feel ANGER than whites Feel anger Yes Row Total Race No White A в (fo) 237 (fe). Row% (fo) 602 (fe). Row% (fo) 839 100% Black D E F (fo) 29 (fe). Row% (fo) 123 (fe) Row% (fo) 152 100% Column G Total (fo) 266 (fo) 725 (fo) 991 STEP 1. Do this calculation What did you get? Write the result in the blue box in the cell marked with the letter (C*G/ (C* H)/ (F* G)/ (F* H)/ STEP 2. A B D Cell OBSERVED EXPECTED OBSERVED FREQUENCY SQUARE NOW DIVIDE THE NUMBER IN FREQUENCY (THE NUMBER FREQUENCY (THE NUMBER IN THE BLUE BOX IN THE CELL MINUS EXPECTED THE NUMBER THE PREVIOUS IN THE PREVIOUS EXPECTED FREQUENCY IN THE CELL) COLUMN BY THE COLUMN FREQUENCY FOR THAT CELL (THE BLUE BOX NUMBER) A D E TO GET YOUR CHI-SQUARE, ADD ALL THE NUMBERS IN THE LAST COLUMN >
- 7. Suppose that X and Y are independent random vari- ables for which Var(X)= Var(Y) =3. Find the values of (a) Var(X – Y) and (b) Var(2X – 3Y + 1). |I'm have a difficult time understanding how to solve (c). I keep getting the answer wrong. If I unsterstand correctly the probabilty of not being femaleP(A) =1-total #of female/total # of male and female and the probability of not have a degree outside of fieldP(B) is 1-degrees outside of field/ total degrees to solve I did P(A)+P(B)- probability of being female with degree in field. then I tried to solve for probability of being male with a degree in the field and it was still incorrect.Suppose X is random variable whose p.d.f. is f2)=(2x-x²), 0, OSxs2 Suppose X is random variable whose p.d.f. is f(x)={4 elsewhere Find the mode , if it exists.
- Of n1 randomly selected male smokers, X1 smoked filter cigarettes, whereas of n2 randomly selected female smokers, X2 smoked filter cigarettes. Let p1 and p2 denote the probabilities that a randomly selected male and female, respectively, smoke filter cigarettes. (a) Show that (X1/n1) − (X2/n2) is an unbiased estimator for p1 − p2. [Hint: E(Xi) = nipi for i = 1, 2.] E X1 n1 − X2 n2 = 1 n1 E − 1 n2 E = 1 n1 − 1 n2 = p1 − p2 (b) What is the standard error of the estimator in part (a)? (d) If n1 = n2 = 206, x1 = 134, and x2 = 165, use the estimator of part (a) to obtain an estimate of p1 − p2. (Round your answer to three decimal places.)Express var(X + Y), var(X − Y), and cov(X + Y, X −Y) in terms of the variances and covariance of Xand Y.Twenty-five percent of the customers entering a grocery store between 5 P.M. and 7 P.M. use an express checkout. Consider five randomly selected customers, and let x denote the number among the five who use the express checkout. (a) What is p(5), that is, P(x = 5)? (Round the answer to five decimal places.) p(5) = (b) What is P(x < 1)? (Round the answer to five decimal places.) P(x < 1) = 0.6328 (c) What is P(2 < x)? (Round the answer to five decimal places. Hint: Make use of your computation in Part (b).) P(2 < x) = 0.3672 (d) What is P(x # 5)? (Round the answer to five decimal places.) P(x + 5) = 0.7363
- (b) Let X~N(40,144) and if Y = 2X – 1 Find the following probabilities: (i) P(X 50) (iii)P(35 < X < 45),(iv)P(-45 < Y < 45).(v)P(-50 < Y < 100)24% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomi U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at lea (a) P(3)%3D (Round to three decimal places as needed.) (b) P(x24)= (Round to three decimal places as needed.) (c) P(X<8)3D (Round to three decimal places as needed.) Enter your answer in each of the answer boxesSuppose that the random variables X and Y are independent with Var(X)=8 and Var(Y)=6. Calculate Var(5X−7Y+17)