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Using the TI-84 calculator, find the area under the standard normal curve. Round the answers to four decimal places.(a) Find the area under the standard normal curve that lies outside the interval between z= −1.98 and z=0.61.(b) Find the area under the standard normal curve to the left of z=1.98.(c) Find the area under the standard normal curve to the right of z= 2.34.(d) Find the area under the standard normal curve that lies between z= −0.94 and z= −0.63.

Respuesta :

Answer:

a) 0.705

b) 0.976

c) 0.01

d) 0.09

Step-by-step explanation:

We have to find the area under the standard normal curve.

a) area under the standard normal curve that lies outside the interval between z= −1.98 and z=0.61.

[tex]=P(-1.98<z<0.61)\\=P(z<0.61)-P(z<-1.98)\\=0.729-0.024\\=0.705\\=70.5\%[/tex]

b) area under the standard normal curve to the left of z=1.98

[tex]=P(z<1.98)\\=0.976\\=97.6\%[/tex]

c) area under the standard normal curve to the right of z= 2.34

[tex]P(z>2.34)\\=1 - P(z<2.34)\\=1 - 0.990\\=0.01\\=1\%[/tex]

d)  area under the standard normal curve that lies between z= −0.94 and z= −0.63

[tex]=P(-0.94<z<-0.63)\\=P(z<-0.63)-P(z<-0.94)\\=0.264-0.174\\=0.09\\=9\%[/tex]

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