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- Collaborative statistics homework
- Discrete random variables
- Homework (modified r. bloom)
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.
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| 0 |
0.3 |
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| 1 |
0.2 |
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| 2 |
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| 3 |
0.4 |
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A
Find the probability that
.
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B
Find the expected value.
Suppose that you are offered the following “deal.” You roll a die. If you roll a 6, you win $10. If you roll a 4 or 5, you win $5. If you roll a 1, 2, or 3, you pay $6.
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A
What are you ultimately interested in here (the value of the roll or the money you win)?
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B
In words, define the Random Variable
.
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C
List the values that
may take on.
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D
Construct a PDF.
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E
Over the long run of playing this game, what are your expected average winnings per game?
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F
Based on numerical values, should you take the deal? Explain your decision in complete sentences.
A venture capitalist, willing to invest $1,000,000, has three investments to choose from. The first investment, a software company, has a 10% chance of returning $5,000,000 profit, a 30% chance of returning $1,000,000 profit, and a 60% chance of losing the million dollars. The second company, a hardware company, has a 20% chance of returning $3,000,000 profit, a 40% chance of returning $1,000,000 profit, and a 40% chance of losing the million dollars. The third company, a biotech firm, has a 10% chance of returning $6,000,000 profit, a 70% of no profit or loss, and a 20% chance of losing the million dollars.
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A
Construct a PDF for each investment.
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B
Find the expected value for each investment.
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C
Which is the safest investment? Why do you think so?
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D
Which is the riskiest investment? Why do you think so?
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E
Which investment has the highest expected return, on average?
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B
$200,000;$600,000;$400,000
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C
third investment
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D
first investment
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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.
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A
What are you interested in here?
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B
In words, define the Random Variable
.
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C
List the values that
may take on.
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D
Construct a PDF.
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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
= the number of children
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| 0 |
0.10 |
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| 1 |
0.20 |
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| 2 |
0.30 |
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| 3 |
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| 4 |
0.10 |
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| 5 |
0.05 |
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| 6 (or more) |
0.05 |
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A
Find the probability that a married adult has 3 children.
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B
In words, what does the expected value in this example represent?
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C
Find the expected value.
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D
Is it more likely that a married adult will have 2 – 3 children or 4 – 6 children? How do you know?
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A
0.2
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C
2.35
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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.
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| 3 |
0.05 |
| 4 |
0.40 |
| 5 |
0.30 |
| 6 |
0.15 |
| 7 |
0.10 |
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A
In words, define the Random Variable
.
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B
What does it mean that the values 0, 1, and 2 are not included for
on the PDF?
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C
On average, how many years do you expect it to take for an individual to earn a B.S.?
Questions & Answers
how does Neisseria cause meningitis
is the branch of biology that deals with the study of microorganisms.
studies of microbes
Louisiaste
when we takee the specimen which lumbar,spin,
How bacteria create energy to survive?
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
what is sporadic nd endemic, epidemic
the significance of food webs for disease transmission
Abreham
food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
Give Examples of thermophilic organisms
Shu
advantages of normal Flora to the host
Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
ayesha
They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
Mark
cell is the smallest unit of life
Fauziya
cell is the smallest unit of life
Akanni
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
what are emergency diseases
There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
_Adnan
define infection ,prevention and control
Innocent
I think infection prevention and control is the avoidance of all things we do that gives out break of infections and promotion of health practices that promote life
Lubega
Heyy Lubega hussein where are u from?
_Adnan
which site have a normal flora
Many sites of the body have it
Skin
Nasal cavity
Oral cavity
Gastro intestinal tract
Safaa
skin,Oral,Nasal,GIt
Sadik
How can Commensal can Bacteria change into pathogen?
Sadik
How can Commensal Bacteria change into pathogen?
Sadik
what are the advantages of normal Flora to the host
Micheal
what are the ways of control and prevention of nosocomial infection in the hospital
Micheal
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Source:
OpenStax, Collaborative statistics homework book: custom version modified by r. bloom. OpenStax CNX. Dec 23, 2009 Download for free at http://legacy.cnx.org/content/col10619/1.2
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