Probabilities Standard Normal Variables

1. Given that z is a standard normal variable, compute the
following probabilities

a. p(z less than or equal to -1.0)

b. p(z is greater than or equal to 1)

c. p( z is greater than or equal to – 1.5)

d. p(-2.5 less than or equal to z)

e. p(-3 < z is less than or equal to 0)

f. p(-1.98 less than or equal to z less than or equal to
.49)

g. p(.52 less than or equal to z less than or equal to 1.22)

h. p(-1.75 less than or equal to z less than or equal to
-1.04)

2. Given that z is a standard normal random variable, find z
for each situation

a. the area to the left of z is 2119

b. the area etween -z and z is .9030

c. the area between -z and z is .2052

d. the area to the left of z is .9948

e. the area to te right of z is .6915

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