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Each dy, Monday through Saturday, a baker bakes three large chocolate cakes, and those not sold on the same day are givien away to a food bank. Use the data shown in the following table to test at the 0.05 level of significance whether they may be looked upon as values of a binomial random variable: Number of Number of cakes sold days 0 1 1 16 2 55 3 228
Table of observed frequencies
x
f
xf
0
1
16
2
55
110
3
128
384
Total
200
510
It was revealed that 120 people had only 1 admission, 81 had 2 admissions, 48 had 3 admissions, 18 had 4 admissions, 18 had 5 admissions, and 15 had 6 admissions or more admissions. Does the data support the mayor's claim?
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