4.1 Homework (modified r. bloom)

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This module provides a number of homework exercises related to Discrete Random Variables. The module is based on the original module in the textbook collection Collaborative Statistics by Susan Dean and Dr. Barbara Illowsky and has been modified. New problems (#38 to #43) have been added.

1. Complete the PDF and answer the questions.

 $X$ $P\left(X=x\right)$ $X\cdot P\left(X=x\right)$ 0 0.3 1 0.2 2 3 0.4

• A

Find the probability that $X=2$ .
• B

Find the expected value.

0.1

1.6

• C

third investment
• D

first investment
• E

second investment

A theater group holds a fund-raiser. It sells 100 raffle tickets for $5 apiece. Suppose you purchase 4 tickets. The prize is 2 passes to a Broadway show, worth a total of$150.

• A

What are you interested in here?
• B

In words, define the Random Variable $X$ .
• C

List the values that $X$ may take on.
• D

Construct a PDF.
• E

If this fund-raiser is repeated often and you always purchase 4 tickets, what would be your expected average winnings per game?

Suppose that 20,000 married adults in the United States were randomly surveyed as to the number of children they have. The results are compiled and are used as theoretical probabilities. Let $X$ = the number of children

 $X$ $P\left(X=x\right)$ $X\cdot P\left(X=x\right)$ 0 0.10 1 0.20 2 0.30 3 4 0.10 5 0.05 6 (or more) 0.05

• A

Find the probability that a married adult has 3 children.
• B

In words, what does the expected value in this example represent?
• C

Find the expected value.
• D

Is it more likely that a married adult will have 2 – 3 children or 4 – 6 children? How do you know?

0.2

2.35
• D

2-3 children

Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is given below.

 $X$ $P\left(X=x\right)$ 3 0.05 4 0.40 5 0.30 6 0.15 7 0.10

• A

In words, define the Random Variable $X$ .
• B

What does it mean that the values 0, 1, and 2 are not included for $X$ on the PDF?
• C

On average, how many years do you expect it to take for an individual to earn a B.S.?

Application of nanotechnology in medicine
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I only see partial conversation and what's the question here!
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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
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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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Anam
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Anam
what is Nano technology ?
write examples of Nano molecule?
Bob
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brayan
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Damian
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what king of growth are you checking .?
Renato
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why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
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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
hi
Loga
what does nano mean?
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Bharti
how did you get the value of 2000N.What calculations are needed to arrive at it
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