Question

My Notes -/3 points Ask Your Teacher Your local grocery store sells 5 lb bags of potatoes. However, the 5 lb bags do not weight exactly 5 lbs. If we let X, be the welght of a randomly selected 5 lb bag of potatoes, historical data indicates that X,~ N(5.36, 0.14). The local warehouse store sells 10 lb bags of potatoes, which also do not weight exactly 10 lbs. Ir Y is the weight of a randomly selected 10 lb bag, historical data indicates that Y N(10.22, 0.18). We randomly select two 5 lb bags of potatces and one 10 lb bag of potatoes a) Define T to be the total wcight of the two 5 lb bags for potatoes, c.g., T- X, +X The distribution of T is T N(10.72, 0.198) OTapproximately N(10.72, 0.198) TN N(10.72, 0.529) T approximatcly N(10.72, 0.529) b) Define W= T - Y. The distribution of Wis 2. The distribution of T is Wapproximately N(0.5, 0.268) WN(0.5, 0.268) Wapproximately N(0.5, 0.082) WN(0.5, 0.082) c) Find PW D) Use a standard deviation rounded to three decimal places in your calculations. Round your final answer to four decimal places. Viewing Saved Wark Revert to Last Response Submit Answer

Answer 1

NIS:36, 10) - Y~! --- as I = X1+Xq. aust - aption aption (A) as 1 parent populares werme. ent population ط- لا -1 = no Elwl= Ela-Ely? = 04029 102 - 10 22 Sos vorw) = 3 Varltit rarely) 10.190) 2 +10.11) ? -w =__ re. 1962+ coile/2 50.268 option to (B) - Pl W-0. 5 0 -0.5 0.0310 G el w20) Scanned with es s CamScanner 0:268 0.268