Find the area under the normal curve to the left of zequals=negative 22 plus the

Question

Find the area under the normal curve to the left of zequals=negative 22 plus the area under the normal curve to the right of zequals=22. The combined area is 0.04560.0456. (Round to four decimal places as needed.) (b) Find the area under the normal curve to the left of zequals=negative 1.551.55 plus the area under the normal curve to the right of zequals=2.552.55. The combined area is 0.06600.0660. (Round to four decimal places as needed.) (c) Find the area under the normal curve to the left of zequals=negative 0.280.28 plus the area under the normal curve to the right of zequals=1.101.10. The combined area is 0.52540.5254. (Round to four decimal places as needed.)

Explanation / Answer

a )

P(-2<Z<2=P(Z>-2-P(Z>2

=1-P(Z<-2)-P(Z>2)

1-P(Z>2)-P(Z>2)

=1-2*P(Z>2)

=1-2*0.022750

=0.9545

b )

P(-1.55<Z<2.55)=P(Z>-1.55)-P(Z>2.55)

=1-P(Z<-1.55)-P(Z>2.55)

=1-P(Z>1.55)-P(Z>2.55)

=1-0.060571-0.0053861

=0.6340

c )

P(-0.28<Z<1.10)=P(Z>-0.28)-P(Z>1.10)

=1-P(Z<-0.28)-P(Z>1.10)

=1-P(Z>0.28)-P(Z>1.10)

=1-0.38974-0.13567

=0.4746

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