A pair of dice is rolled 500 times with the sums in Table 12.2 showing on the dice: Sum 2 3 4 5 6 7 8 9 10 11 12 Observed 15 35 49 58 65 76 72 60 35 29 6 The expected number, if the dice are fair, are...


A pair of dice is rolled 500 times with the sums in Table 12.2 showing on the dice:


































Sum



2



3



4



5



6



7



8



9



10



11



12



Observed



15



35



49



58



65



76



72



60



35



29



6



The expected number, if the dice are fair, are determined from the distribution of x as in Table 12.3.


































x



2



3



4



5



6



7



8



9



10



11



12



p(x)



1/36



2/36



3/36



4/36



5/36



6/36



5/36



4/36



3/36



2/36



1/36



We have the observed and expected frequencies in Table 12.4.


































Observed



15



35



49



58



65



76



72



60



35



29



6



Expected



13.9



27.8



41.7



55.6



69.5



83.4



69.5



55.6



41.7



27.8



13.9




May 26, 2022
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