Question

Fall 2019 6. Let A be the event that the fruit crop in Valley A sinfested with a parasite. Let B be the e that the fruit crop in Valley B is infected with the same pers. Let PA) and PLAUB) 8/20, PB) 15/20 16/20. If it is found that Bisited, what is the conditional) probability that Valley A will also be infested. (s) 16/15 (b) 7/20 (c) 7/15 (d) 7/8 (e) None of the above 7. Which of the following statements is the most appropriate concerning the negative binomial distri- bution: (a) the experiment consists of a sequence of dependent trials (b) each trial results in neither a success or a failure (c) the probability of success is not constant from trial to trial (d) the number of successes are fixed but the number of trials are random (e) None of the above 8. Let Z be a standard normal random variable. What is P(Z < 2)? (a) 0.0228 (b) 0.9500 (c) 0.9772 (a) 0.9987 (e) None of the above 9. For random variables X and Y. if their covariance is 1225. the variance of X is 1600, and the variance of Y is 2500, then their correlation is: (a) .0175 (b) .4900 (c) .6125 (d) .7656 (e) None of the above U. Let Yi and be independent random variables, each with a Nuo?) distribution. Find the dis bution of X = }(Yi - 3Y3). (a) N (,50) (b) (-4,502/2) (C) (-4,100%) (d) Uniform(-24, 0) e) None of the above

Answer 1

Solution- 6) P (A) = 8/20 ; P (P) = 18/0; P (AUB) = 16/20 P (AMB) = 7/20 +010008 +210x of PA - PLANB). 12 - 1775 2012 PIB) 15/20 To the number of success are fixed but the number of trials are rondom. ) = 0.9772 9 correlation Corltry 1225 0.6125 V 1600 xV2500 V1600 x 12500 - 10.6125 10) E (X) = E(/₂ l \, -3y2)) = Ye F(X) – Ely) = /₂xu - 34 - 4 Y(x) = v('₂ (>1 - 342)) = ('6² vly) + q r (2) - foltar? NL-4, 502