Question

1. Assume the time a half hour soap opera has an average of
10.4 minutes of commercials. Assume the number of minutes of
commercials follows a normal distribution with standard deviation
of 2.3 minutes.

a. Find the probability a half hour soap opera has between 10
and 11 minutes of commercials. [Give three decimal places]

b. The lowest 10% of minutes of commercials is at most how
long? (In other words: find the maximum minutes for the lowest 10%
of number of minutes of commercials.) [Give three decimal
places]

2. Assume X follows a normal distribution with mean 5 and
standard deviation 2.

a. x=4 is how many standard deviations away from the mean.
Give answer with appropriate positive/negative sign.

3. Find the alpha value associated with z subscript alpha =
2.326

4. Assume random variable X follows a normal distribution with
mean 50 and standard deviation of 10.

Use the Empirical Rule to find P(30 < X < 60).
***Challenging*** Write as a probability, not as a percentage.
[Give three decimal places.]

Answer #1

The average time to run the 5K fun run is 23 minutes and the
standard deviation is 2.4 minutes. 17 runners are randomly selected
to run the 5K fun run. Round all answers to 4 decimal places where
possible and assume a normal distribution.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected runner is timed, find the...

The average time to run the 5K fun run is 20 minutes and the
standard deviation is 2.3 minutes. 7 runners are randomly selected
to run the 5K fun run. Round all answers to 4 decimal places where
possible and assume a normal distribution. What is the distribution
of X X ? X X ~ N(,) What is the distribution of ¯ x x¯ ? ¯ x x¯ ~
N(,) What is the distribution of ∑ x ∑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...

The average time to run the 5K fun run is 22 minutes and the
standard deviation is 2.2 minutes. 44 runners are randomly selected
to run the 5K fun run. Round all answers to 4 decimal places where
possible and assume a normal distribution.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
If one randomly selected runner is timed, find the...

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...

The average time to run the 5K fun run is 22 minutes and the
standard deviation is 2.5 minutes. 49 runners are randomly selected
to run the 5K fun run. Round all answers to 4 decimal places where
possible and assume a normal distribution.
For the 49 runners, find the probability that their average
time is between 22.0643 and 22.4643 minutes.
Find the probability that the randomly selected 49 person team
will have a total time more than 1053.5.
For...

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...

Part 1: The length of time it takes to find a parking space at 9
A.M. follows a normal distribution with a mean of 6 minutes and a
standard deviation of 3 minutes.
Find the probability that it takes at least 9 minutes to find a
parking space. (Round your answer to four decimal
places.)
Part 2: The length of time it takes to find a parking space at 9
A.M. follows a normal distribution with a mean of 5...

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 = 106; σ = 10
P(x ≥ 120) =
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 = 110; σ = 13
P(x ≥ 90) =

Assume that the mean
hourly cost to operate a commercial airplane follows the normal
distribution with a mean of $2,500 per hour and a standard
deviation of $235.
What is the operating
cost for the lowest 3 percent of the airplanes?
(Round z value to 2 decimal places. Omit
the "$" sign in your response.)

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