Question 364479
1) {{{P(z)=int(p(x),dx,-infinity,z)}}}
{{{int(p(z),dz,-infinity,infinity)=1}}}
So {{{P}}} can never be greater than {{{1}}}.
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2)
The binomial distribution is  approximated by a normal distribution for any fixed {{{p}}}(even if {{{p}}} is small) as {{{n}}} is taken to infinity. 

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3) {{{P(z<0.25)=P(0.25)}}}
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{{{ P(0.55 < z < 0)=P(0.55)-P(0)}}}
{{{P(0.55 < z < 0)=P(0.55)-0.5}}}
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{{{ P(-1.91 < z < 1.06)=P(1.06)-P(-1.91)}}}