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Answer 1 · 2017-11-14T08:50:21

#(a) 0.9599#

#(b) 0.8664#

we are using

#Z~N(1,0)#

#(a)" "P( Z > -1.75)#

by the symmetry of the Normal curve we have

#P( Z > -1.75)=P(Z< 1.75)#

from tables we have

#=0.9599#

#(b)" "P(-1.5 < Z <1.5)#

again by symmetry

#P(-1.5 < Z <1.5)=2P(0 < Z <1.5)#

#=2(P( z<1.5) -P( Z< 0))#

#=2(0.9332-0.5)#

#2xx0.4332#

#=0.8664#