Question

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 ≤

Answer #1

**SOLUTION:**

From given data,

**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)**

The value of * P*(−0.53 ≤

The required value is,

* P*(−0.53 ≤

From the standard Normal distribution table , the area to the left of z=2.04 is 0.9793 and

The area of left of z = -0.53 is 0.2981 . Then

* P*(−0.53 ≤

= 0.9793 - 0.2981

= 0.6812

**The value of P(−0.53 ≤
z ≤ 2.04) = 0.6812**

Let z be a random variable with a standard normal distribution.
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distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(−1.21 ≤ z ≤ 2.50) =
P(−2.20 ≤ z ≤ 1.08) =
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P(0 ≤ z ≤ 1.62) =
P(−2.22 ≤ z ≤ 0) =
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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) =
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distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(z ≥ −1.24) =
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distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(−1.78 ≤ z...

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Find the indicated probability. (Round your answer to four decimal
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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)=

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
.

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
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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

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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
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The area between z = 0 and z = −1.88
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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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