/Stat._Sec._7.1_Lesson

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xample 4: !"#$%&''#'$()$*"#$&+,-*$('*./0"#'$&*$*"#$1/-&'$2(($&.#$3(.%&--4$ !"#$%"&'!"#$%&!'$($)"(*$+,$-./$01$(*#$($2!(*#(3#$#"4&(!&+*$+,$-5$016& !"#$%&'%$"(%)*+,#,&-&$.%$"#$%#%*#/0+1-.N!"#"$%"&'(!%)*$+',*##'+-."'-'/-!!' !"#$""%&'()&*+&,%-&'.)&*+/& !"#$!"#$%& & !"#$%%#&'(& & !"#$!"#$%&& & !"#$%&#'(&

BC#-5.1%H)%8%*&.*+/'.&B%*+$&.(*',&5*/&+0/*&#)&+&5+/$(01'+/&?+/"&(-&)#/"+''.& ,(-$/(61$(#)&B($%&"*+)& µ = 35 &61-%*'-&+),&-$+),+/,&,*7(+$(#)& ! = 8 &61-%*'-2& a. Shade the area under the curve in the figure below that represents the probability that an acre will yield between 19 and 35 bushels.

& b. Is the area the same as the area between µ ! 2" and µ ?

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& & & c. Find the percentage of area over the interval between 19 and 35. & & d. What is the probability that the yield will be between 19 and 35 bushels per acre? & BC#-5.1%I)%8%*&5'+.()4&'(?*&#?&+&!1)-%()*&/+,(#&(-&)#/"+''.&,(-$/(61$*,&B($%& "*+)& µ = 600 &%#1/-&+),&-$+),+/,&,*/(7+$(#)& ! = 100 &%#1/-2&H%+$&(-&$%*& 5/#6+6('($.&$%+$&+&/+,(#&-*'*0$*,&+$&/+),#"&B(''&'+-$&?/#"&OLL&$#&PLL&%#1/-F&

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