Question

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 are between X=_____ and X=_____ (Round to the nearest integer as needed.)

Answer #1

X has a normal distribution with the given mean and
standard deviation. Find the indicated probability. (Round your
answer to four decimal places.)
μ = 39, σ = 20, find
P(32 ≤ X ≤ 49)

Assume that x has a normal distribution with the specified mean
and standard deviation. Find the indicated probability. (Round your
answer to four decimal places.) μ = 49; σ = 14
P(40 ≤ x ≤ 47) =

Given a normal distribution with Mean of 100 and Standard
deviation of 10, what is the probability that
between what two X values (symmetrically distributed around the
mean) are 80% of the values?

A population of values has a normal distribution with μ=137.5
and σ=14.4. A random sample of size n=142
is drawn.
Find the probability that a single randomly selected value is
between 136 and 140.6. Round your answer to four decimal
places.
P(136<X<140.6)=
Find the probability that a sample of size n=142 is randomly
selected with a mean between 136 and 140.6. Round your answer
to four decimal places.
P(136<M<140.6)=

A population of values has a normal distribution with μ=64 and
σ=63.6. A random sample of size n=24 is drawn.
Find the probability that a single randomly selected value is
between 25.1 and 57.5. Round your answer to four
decimal places. to find answer
P(25.1<X<57.5)=
Find the probability that a sample of size n=24 is randomly
selected with a mean between 25.1 and 57.5. Round your
answer to four decimal places. to find answer
P(25.1<M<57.5)=

Suppose x has a distribution with μ = 80 and
σ = 11.
Find P(76 ≤ x ≤ 81). (Round your answer to
four decimal places.)

Suppose x has a distribution with μ = 84 and
σ = 11.
Find P(80 ≤ x ≤ 85). (Round your answer to four
decimal places.)

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)

Given a normal distribution with μ= 101 and σ = 20, and given
you select a sample of equals =16
What is the probability that X is above 102.6?
P (X > 102.6) =

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=

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