# 10.6 Review

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The next three questions refer to the following information:

In a survey at Kirkwood Ski Resort the following information was recorded:

 0 – 10 11 - 20 21 - 40 40+ Ski 10 12 30 8 Snowboard 6 17 12 5

Suppose that one person from of the above was randomly selected.

Find the probability that the person was a skier or was age 11 – 20.

$\frac{\text{77}}{\text{100}}$

Find the probability that the person was a snowboarder given he/she was age 21 – 40.

$\frac{\text{12}}{\text{42}}$

Explain which of the following are true and which are false.

• Sport and Age are independent events.
• Ski and age 11 – 20 are mutually exclusive events.
• $P\left(\text{Ski}\phantom{\rule{2pt}{0ex}}\text{and}\phantom{\rule{2pt}{0ex}}\text{age}\phantom{\rule{2pt}{0ex}}\text{21}-\text{40}\right)
• $P\left(\text{Snowboard}\phantom{\rule{2pt}{0ex}}\text{or}\phantom{\rule{2pt}{0ex}}\text{age}\phantom{\rule{2pt}{0ex}}0-\text{10}\right)
• False
• False
• True
• False

The average length of time a person with a broken leg wears a cast is approximately 6 weeks. The standard deviation is about 3 weeks. Thirty people who had recently healed from broken legs were interviewed. State the distribution that most accurately reflects total time to heal for the thirty people.

$N\left(\text{180},\text{16}\text{.}\text{43}\right)$

The distribution for $X$ is Uniform. What can we say for certain about the distribution for $\overline{X}$ when $n=1$ ?

• The distribution for $\overline{X}$ is still Uniform with the same mean and standard dev. as the distribution for $X$ .
• The distribution for $\overline{X}$ is Normal with the different mean and a different standard deviation as the distribution for $X$ .
• The distribution for $\overline{X}$ is Normal with the same mean but a larger standard deviation than the distribution for $X$ .
• The distribution for $\overline{X}$ is Normal with the same mean but a smaller standard deviation than the distribution for $X$ .

A

The distribution for $X$ is uniform. What can we say for certain about the distribution for $\sum X$ when $n=50$ ?

• The distribution for $\sum X$ is still uniform with the same mean and standard deviation as the distribution for $X$ .
• The distribution for $\sum X$ is Normal with the same mean but a larger standard deviation as the distribution for $X$ .
• The distribution for $\sum X$ is Normal with a larger mean and a larger standard deviation than the distribution for $X$ .
• The distribution for $\sum X$ is Normal with the same mean but a smaller standard deviation than the distribution for $X$ .

C

The next three questions refer to the following information:

A group of students measured the lengths of all the carrots in a five-pound bag of baby carrots. They calculated the average length of baby carrots to be 2.0 inches with a standard deviation of 0.25 inches. Suppose we randomly survey 16 five-pound bags of baby carrots.

State the approximate distribution for $\overline{X}$ , the distribution for the average lengths of baby carrots in 16 five-pound bags. $\overline{X}\text{~}$

$N\left(2\text{,}\frac{\text{.25}}{\sqrt{\text{16}}}\right)$

Explain why we cannot find the probability that one individual randomly chosen carrot is greater than 2.25 inches.

Find the probability that $\overline{x}$ is between 2 and 2.25 inches.

0.5000

The next three questions refer to the following information:

At the beginning of the term, the amount of time a student waits in line at the campus store is normally distributed with a mean of 5 minutes and a standard deviation of 2 minutes.

Find the 90th percentile of waiting time in minutes.

7.6

Find the median waiting time for one student.

5

Find the probability that the average waiting time for 40 students is at least 4.5 minutes.

0.9431

what is variations in raman spectra for nanomaterials
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
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Rafiq
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Damian
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LITNING
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Sahil
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Santosh
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Mahi
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Rafiq
what is Nano technology ?
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
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why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
what does nano mean?
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Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
absolutely yes
Daniel
how did you get the value of 2000N.What calculations are needed to arrive at it
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