Question

(8 pts) By expressing probabilities as definite integrals/areas, determine which is more likely- that a coin that is tossed 2500 times falls heads between 1215 and 1290 times or that a die that is thrown 720 times lands "6" between 106 and 132 times. (Hint: You don't need to use the table to answer this.) 6.

Answer 1

Sohbon Given thad a Coin thad s ossed ノ215 E 290 25 co mes Falls head's bedweer heaot 2) appooxmaded binorrial s of heaok NO 20 2500 ノ250 to normal wh stondand oleurabon 25e G25 625 625 1215- ノ250 / 290-1250 625 625 - 35 40 625 625 - O. 056 z 2 0.064) 20.064)- P24 -0.056) 0.47ァフ ; O.525S - O,04 78 CS Scanned with 9L40 CamScanne

Given hak dre oown bmas 7 20 die 6 bedween and 132 IOG 7 2e 120 Mean stondland dleviabon bdu 20 Ple): 106-120 12 2 120O 20 ( : Pl-0.74 - 14 12 20 20 o.6) Pl20.6)- Plz< -o.7) O, 7257 - O, 24 20 : 0. 4837 Ple) O,483 7 cs Scanned with CamScanner

penoks A Ple)- PCAG) PLAUB): PCA) + PlA) PLe)- PlA) PCe) o.0475x o.0478 x 0.483 : 0.0478 + 0.4837 O.5315-0 O23 O. S084 PCAUG) O.5084 cS Scanned with CamScanner