1. Find the area under the standard normal curve that lies outside the interval between z= 0.57 and z= 1.82
2. Find the area under the standard normal curve to the left of z= 1.15
3. Find the area under the standard normal curve to the right of z= 2.04
4. Find the area under the standard normal curve that lies between z= =1.32 and z= 1.43
Solution,
Using standard normal table
1) P( Z < 0.57 OR Z > 1.82 )
= P(Z < 0.57 ) + P( Z > 1.82 )
= 0.7157 + 1 - P(Z < 1.82)
= 0.7157 + 1 - 0.9656
= 0.7157 + 0.0344
= 0.7501
2) P( Z < 1.15)
= 0.8749
3) P(Z > 2.04)
= 1 - P( Z < 2.04)
= 1 - 0.9793
= 0.0207
4) P( 1.32 < Z < 1.43)
= P( Z < 1.43) - P( Z < 1.32)
= 0.9236 - 0.9066
= 0.0170
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