Given a standardized normal distribution? (with a mean of 0 and a standard deviation of? 1), determine the following probabilities.
a.?P(Z>1.03?) ????????
b.?P(Z<?0.22?) ?????????
c.?P(?1.96<Z<?0.22?)
d.What is the value of Z if only11.51
11.51?% of all possible? Z-values are? larger?
a.?P(Z>1.03?)
?(Round to four decimal places as? needed.)
b.?P(Z<?0.22?) ?
?(Round to four decimal places as? needed.)
c.?(?1.96<Z<?0.22?)
?(Round to four decimal places as? needed.)
d.Z=
?(Round to two decimal places as? needed.)
2.
Find the area under the standard normal probability distribution between the following pairs of? z-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 as? needed.)
3.
Find the following probability for the standard normal random variable z.
a.
?P(z>1.51?)
d.
?P(?1.78?z<?0.34?)
b.
?P(z<?1.45?)
e.
?P(z??0)
c.
?P(0.89?z?2.05)
f.
?P(?2.39?z?1.59?)
a.? P(z>1.51?)=
d.
?P(?1.78?z<?0.34?)=
b.
?P(z<?1.45?)=
e.
?P(z??0)=
c.
?P(0.89?z?2.05)=
f.
?P(?2.39?z?1.59?)=
?(Round to three decimal places as? needed.)
4.Find the following probability for the standard normal random variable z.
?P(?1.5?z?1.5)
LOADING…
Click here to view a table of areas under the standardized normal curve.
?
P(?1.5?z?1.5?)=
?(Round to three decimal places as? needed.)
5.Given a normal distribution with mu equals 100
?=100 and ?=10, complete parts? (a) and? (b)
a.What is the probability thatX>70??
The probability that X>70 is
.
b.What is the probability thatX<80??
The probability that X<80 is
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