Question 1180060
Mean is np=800*0.6=480
variance is np(1-p)=480*0.4=192
sd is sqrt(V)=13.86
between 450 and 500 is using 449.5 and 500.5 with the continuity correction factor.
this is between z=(449.5-480)/13.86=-2.201 and z=(500.5-480)/13.86=1.479
that probability is 0.9166
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not less than 510 is z >(510-480)/13.86=2.165, and that probability is 0.0152
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not more than 515 is z <(515-480)/13.86=2.525, and that probability is 0.9942