It is known that the yield of a particular variety of millet grown on a tat plot is normally distributed with a mean of 240 gm and a variance of 39 gm? In one experiment. this variety is grown on 18 independent test plots. The experimenters plan to measure the yields of the 18 plots and calculate 5'3. A} Which of the following is true? a} PH? 5 52 E 47] is greater than 1191]; b} FT]? 5 52 E 47] is between UTE and 0.91]; c} PH? 5 52 E 47] is Ias than [335. B} What is the expected value of 33? C} What has a greater probability. to observe 35 E SE 5 H? or to observe 38 E 5'2 :1 4i}? DUE this surprise you given the expected value of 53? Why or why not? hint: the i? function pch-isqi'} will be needed to get precise probabiiities here