Find the area under the standard normal curve. Round your answer to four decimal places.
(a) Find the area under the standard normal curve to the right of z=−0.78.
(b) Find the area under the standard normal curve that lies between z=1.26 and z=2.32.
(c) Find the area under the standard normal curve that lies outside the interval between z=−1.93 and z=0.59.
(d) Find the area under the standard normal curve to the left of x=−2.08.
Using standard normal table,
(a)
P(z < -0.78) = 0.2177
Area = 0.2177
(b)
P(1.26 < z < 2.32)
= P(z < 2.32) - P(z < 1.26)
= 0.0937
Area = 0.0937
(c)
1 - P(-1.93 < z < 0.59)
= 1 - [P(z < 0.59) - P(z < -1.93)]
= 0.3044
Area = 0.3044
(d)
P(z < -2.08) = 0.0188
Area = 0.0188
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