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# P(55 <= X <= 65)
pbinom(65,100,0.6) - pbinom(54,100,0.6)
# without continuity correction:
pnorm(65,60,sqrt(100*0.6*0.4)) - pnorm(55,60,sqrt(100*0.6*0.4))
# with continuity correction:
pnorm(65.5,60,sqrt(100*0.6*0.4)) - pnorm(54.5,60,sqrt(100*0.6*0.4))
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