Question

Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ? ?0.25)

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)

Let z be a random variable with a standard normal distribution. Find the indicated probability. (Enter your answer to four decimal places.) P(?2.20 ? z ? 1.08)

Answer #1

Let z be a random variable with a standard normal distribution. Find the indicated probability.

P(z ? ?0.25) = **0.4013**

Look the following image :

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)

P(z ? 1.24) = 1 - P(Z < 1.24 ).......(1)

P(Z < 1.24 ) = 0.8925

Put this value in equation (1), we get

P(z ? 1.24) = 1 - 0.8925 = **0.1075**

Look the following image:

Let z be a random variable with a standard normal distribution. Find the indicated probability. (Enter your answer to four decimal places.) P(?2.20 ? z ? 1.08)

P(?2.20 ? z ? 1.08) = P(X < 1.08 ) - P( X < -2.20) -------( 2 )

P(X < 1.08 ) = 0.8599

P( X < -2.20) = 0.0139

Plug these values in equation 1, we get:

P(?2.20 ? z ? 1.08) = 0.8599 - 0.0139 =
**0.8460**

Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(−1.21 ≤ z ≤ 2.50) =
P(−2.20 ≤ z ≤ 1.08) =
P(−2.08 ≤ z ≤ −0.30) =
P(0 ≤ z ≤ 1.62) =
P(−2.22 ≤ z ≤ 0) =
P(−0.45 ≤ z ≤ 2.04) =

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...

Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(−0.53 ≤ z ≤ 2.04) =

Let z be a random variable with a standard normal distribution.
Find the indicated probability. (Round your answer to four decimal
places.) P(−2.10 ≤ z ≤ −0.46)

Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Enter a number.
Round your answer to four decimal places.)
P(z ≥ 1.41) =
Sketch the area under the standard normal curve over the
indicated interval and find the specified area. (Enter a number.
Round your answer to four decimal places.)
The area between z = 0.41 and z = 1.82 is
.

let
z be a random variable with a standard normal distrubtion. find the
indicated probability (round your answer to four decimal places).
a) P(z ≥ -1.53)=
b) P(z ≤ -2.04)=
c) P(-2.00 ≤ z ≤ 1.05)=
d) P(0 ≤ z ≤ 0.50)=

Sketch the area under the standard normal curve over the
indicated interval and find the specified area. (Round your answer
to four decimal places.) The area to the right of z = −1.11 is. The
area between z = −2.11 and z = 1.28 is . Let z be a random variable
with a standard normal distribution. Find the indicated
probability. (Round your answer to four decimal places.) P(z ≤
−0.24) = Let z be a random variable with a...

Find the indicated probability assuming that x is a random
variable with a normal distribution with the given mean and
standard deviation. (Round your answer to four decimal places.)
P(95 ≤ x ≤ 307), μ = 20, σ = 100

A. Sketch the area under the standard normal curve over the
indicated interval and find the specified area. (Round your answer
to four decimal places.)
The area to the left of z = 0.51 is .
The area to the right of z = −1.23
is .
The area between z = 0 and z = −1.88
is
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...

Let "Z" be a random variable from the standard normal
distribution. Find the value for ? that satisfies each of
the following probabilities.
(Round all answers to two decimal places)
A) P(Z < ?) = 0.6829.
? =
B) P(Z > ?) = 0.3087.
? =
C) P(-? < Z < ?) =
0.7402.
? = ±

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