a. Find the value of z subzero such that P(z > zsubzero) = .5
b. Find the value of z subzero such that P(z < zsubzero) = .8643
c. Find the value of z subzero such that P(-z subzero < Z < zsubzero) = .9
d. Find the value of z subzero such that P(-z subzero < Z < zsubzero) = .99
Solution :
a) P(Z > z ) = 0.50
1- P(z < z) =0.50
P(z < z) = 1-0.50 = 0.50
z = 0
b)
P(Z < z) = 0.8643
z = 1.1
c)
P(-z Z z) = 0.90
P(Z z) - P(Z -z) = 0.90
2P(Z z) - 1 = 0.90
2P(Z z) = 1 + 0.90 = 1.90
P(Z z) = 1.90 / 2 = 0.95
P(Z 1.645) = 0.95
z = - 1.645 , +1.645
d)
P(-z Z z) = 0.99
P(Z z) - P(Z -z) = 0.99
2P(Z z) - 1 = 0.99
2P(Z z) = 1 + 0.99 = 1.995
P(Z z) = 1.99 / 2 = 0.995
P(Z 2.576) = 0.995
z = - 2.576 , +2.576
a. Find the value of z subzero such that P(z > zsubzero) = .5 b. Find the...
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