Question 8 Chapter 9, end of chapter. Not yet \"swam\" Let X be a continuous random variable with the following density function: Marked out of 1 1.00 f(x) = 5x, 0 S x S 2 F Flag question Let X1, X2, . . . , X100 be 100 independent and identically distributed random variables each with the that density function. 1 100 E Z EXI' Choose... z i=1 \\I Choose... 200/144 4/3 2/9 100/4 2 Question 9 Not yet a nswered Consider the experiment of drawing a random sample of 100 bags of fertilizer to see whether a factory producing them keeps good quality control. The bags specification says that the net wait of a bag is 50 pounds. of course, we all know that the net weight put by factories in products is the average weig ht. A little departure from the average here and there is ok, but if the probability that there is a lot of departure from that weight is high, quality control engineers know that that is a bad sign. Something is wrong with the production process in that case. Marked out of 1.00 Let X denote the actual net weight of a bag of fertilizer. The average (expected) weight of a bag of fertilizer is 50 pounds and the variance is 1. F Flag (Note: We did something like this in one of Dr. Sanchez's office hours videos. Study that and answer. ) question The E0?) is Choose... 9 The 6}; equals Choose... 6 50.25 pounds is how many standard deviations above the expected value for 2?? Choose." c The probability that the average weight is between 49.75 and 50.25 is approximately equal t \\/ Choose... 1 0.5 " reVIous a e p 9 0.9876 0.0062 15 0.1974 9 R Question 1 0 Not yet a nswered Marked out of f(X, y) = 1593x_5y. x Z 0. Y Z 0 1.00 F Flag question The variance of Let X be the time that Alice waits for a traffic light to turn green, and let Y be the time (at a different intersection) that Bob waits for a traffic light to turn green Suppose that X and Y have joint density 2X + 3Y is Select one: Q a. 0.804 C) b. 0.69 O at 0.11 0 CL 0.089