Given a standardized normal distribution(with a mean of 0 and a standard deviation of1), determine the following probabilities.

a. P(Z>1.03)

b. P(Z<0.22)

c. P(1.960.22)

d. What is the value of Z if only 11.51

11.51% of all possibleZ-values arelarger?

a. P(Z>1.03)

(Round to four decimal places asneeded.)

b. P(Z<0.22)

(Round to four decimal places asneeded.)

c. (1.960.22)

(Round to four decimal places asneeded.)

d. Z=

(Round to two decimal places asneeded.)

2.

Find the area under the standard normal probability distribution between the following pairs ofz-scores.

a. z=0 and z=2.00

b. z=0 and z=3.00

c. z=0 and z=1.00

d. z=0 and z=0.58

LOADING...

Click here to view a table of areas under the standardized normal curve.

a. The area under the standard normal probability distribution is

nothing

.

(Round to three decimal places asneeded.)

3.

Find the following probability for the standard normal random variable z.

a.

P(z>1.51)

d.

P(1.78z<0.34)

b.

P(z<1.45)

e.

P(z0)

c.

P(0.89z2.05)

f.

P(2.39z1.59)

a.P(z>1.51)=

d.

P(1.78z<0.34)=

b.

P(z<1.45)=

e.

P(z0)=

c.

P(0.89z2.05)=

f.

P(2.39z1.59)=

(Round to three decimal places asneeded.)

4.Find the following probability for the standard normal random variable z.

P(1.5z1.5)

LOADING...

Click here to view a table of areas under the standardized normal curve.

P(1.5z1.5)=

(Round to three decimal places asneeded.)

5.Given a normal distribution with mu equals 100

=100 and =10, complete parts(a) and(b)

a. What is the probability that X>70?

The probability that X>70 is

.

b. What is the probability that X<80?

The probability that X<80 is

.