Question
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
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(1.96
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. (1.96
(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
.
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