Question

For a normal distribution where μ= 100 and σ= 10, What is the probability of:

a. P(X>80)

b. P(95<X<105)

c. P(X<50)

d. P(X>100)

e. P(X<90 y X>110)

f. P(X>135)

Answer #1

Given a normal distribution with μ=100 and σ=10, complete parts
(a) through (d).
a. What is the probability that X>80?
(Round to four decimal places as needed.)
b. What is the probability that X<95?
(Round to four decimal places as needed.)
c. What is the probability that X<75 or X>110?
(Round to four decimal places as needed.)
d. 80% of the values are between what two X-values
(symmetrically distributed around the mean)?
(Round to two decimal places as needed.)

If samples are from a normal distribution with \mu
μ
= 100 and \sigma
σ
= 10, all the following statements are true except
about 68% of the data are within 90 and 110.
almost all the data are within 70 and 130.
about 95% of the data are within 80 and 120.
about half the data exceed 60.

Given a normal distribution with
μ=50
and
σ=5,
and given you select a sample of
n=100,
complete parts (a) through (d).
a. What is the probability that X is less than 49?
P(X<49)=
b. What is the probability that X is between 49 and 51.5?
P(49<X<51.5)=
c. What is the probability that X is above 50.9?
P(X>50.9)=
d. There is a 30% chance that X is above what value?
X=

Given a normal distribution with μ =100 and σ =8, and given you
select a sample of n=16, complete parts (a) through (d). a. What
is the probability that Upper X overbar is less than 95?

Given a normal distribution with μ=53 and σ=3.
a. What is the probability that X>49? P(X>49)=_____
(Round to four decimal places as needed.)
b. What is the probability thatX<47?
P(X<47)equals=_____ (Round to four decimal places as
needed.)
c. For this distribution, 7% of the values are less than what
X-value? X=_____ (Round to the nearest integer as needed.)
d. Between what two X-values (symmetrically distributed around
the mean) are 80% of the values? For this distribution, 80% of
the values...

Given a normal distribution with μ=30 and σ=7, find (a) the
normal curve area to the right of x=17; (b) the normal curve area
to the left of x=22; (c) the normal curve area between x=35 and
x=38; (d) the value of x that has 80% of the normal curve to the
left; and (e) the two values of x that contain the middle 65% of
the normal curve area.

Given a normal distribution with mean of 100 and standard
deviation of 10, what is the probability that:
a. X > 80?
b. X < 65?
c. X < 75 or X > 90?
d. Between what two X values (symmetrically distributed around
the mean) are ninety percent of the values

μ =
120
σ =
10
Find Z value?
(112<X<120)
(120<X<135)
(110<X<138)
(95<X<115)
X<105

Suppose the random variable X follows a normal distribution with
mean μ=55and standard deviation σ=10.
Calculate each of the following.
In each case, round your response to at least 4 decimal
places.
a) P(X<41)
b) P(X>64)
c)P(50<X<70)

A: Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(z ≤ 1.11) =
B: Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(z ≥ −1.24) =
C: Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(−1.78 ≤ z...

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