Question 1167767
The first two are correct.
At least 2 were not in favor should be low probability.
That is 2 not in favor (1 in favor) which has probability 0.1693, and 3 not in favor, which is .28^3 or 0.0220
That sum is 0.1913, which is the complement of your answer,

for 10, at least 7 means 7,8,9,10 is 0.7021 from the calculator
for 7 it is 10C7=120*.72^7*.28^3=0.2642
for 8 it is 45*0.72^8*0.28^2=0.2548
for 9 it is 10*0.72^9*0.28=0.1456
for 10 it is .72^10=0.0373
That sum is 0.7019. The 0.7021 is without rounding, so use that.

at least 6 an at most 8 is 6,7,8. We have the latter two already
binomialpdf for 6 is 0.1798.
the answer is 0.6988.

at most 5 is probability 0.1181 from the calculator binomcdf(10,72,5) ENTER.