Question

A. 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.)

*?* = 6; *?* = 2

*P*(5 ? *x* ? 8) =

B. 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.)

*?* = 13.8; *?* = 3.1

*P*(8 ? *x* ? 12) =

C.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.)

*?* = 18; *?* = 4.2

*P*(*x* ? 30) =

Answer #1

A:

Here we have

The z-score for X = 5 is

The z-score for X = 8 is

The required probability is

P(5<X<8) = P(-0.5<z<1) = 0.5328

The excel function used for finding probability is "=NORMSDIST(1)-NORMSDIST(-0.5)".

B:

Here we have

The z-score for X = 8 is

The z-score for X = 12 is

The required probability is

P(8<X<12) = P(-1.87<z<-0.58) = 0.2502

The excel function used for finding probability is "=NORMSDIST(-0.58)-NORMSDIST(-1.87)".

C)

Here we have

The z-score for X = 30 is

The required probability is

P(X>30) = P(z>2.86) = 0.0021

The excel function used for finding probability is "=1-NORMSDIST(2.86)".

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 = 13.8; σ = 3.4
P(8 ≤ x ≤ 12) =

a. 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 = 15.5; σ = 4.5 P(10 ≤ x ≤
26) =
b. Now, 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 = 14.2; σ = 2.9 P(8 ≤
x ≤ 12) =
c. Now, assume...

1.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 = 8; σ = 6 P(5 ≤ x ≤ 14)
=
2. 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 = 14.4; σ = 4.2
P(10 ≤ x ≤ 26) =
3. Assume that x has...

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.)
? = 4.6; ? = 1.9
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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.)
? = 28; ? = 4.2
P(x ? 30) =
Consider a normal distribution with mean 36 and...

a. 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.)
? = 4.8; ? = 1.5
P(3 ? x ? 6) =
b. 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.)
? = 41; ? = 15
P(50 ? x ? 70) =
c. Assume that x...

1. 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 = 14.3; σ = 3.5
P(10 ≤ x ≤ 26)=?
2.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 = 5.9; σ = 1.1
P(7 ≤ x ≤ 9)=?
3. Assume that x has a normal...

Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Enter a number. Round your answer to four decimal
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μ = 8; σ = 2
P(7 ≤ x ≤ 11) =
Assume that x has a normal distribution with the
specified mean and standard deviation. Find the indicated
probability. (Enter a number. Round your answer to four decimal
places.)
μ = 20; σ = 3.4
P(x ≥ 30) =

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 = 14.8; σ = 4.2
P(10 ≤ x ≤ 26) =

Assume that x has a normal distribution with the specified mean
and standard deviation. Find the indicated probability. (Enter a
number. Round your answer to four decimal places.) μ = 22; σ = 4.2
P(x ≥ 30) =

Assume that x has a normal distribution with the specified mean
and standard deviation. Find the indicated probability. (Enter a
number. Round your answer to four decimal places.) μ = 22; σ = 4.2
P(x ≥ 30) =

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