# 3.10 Homework  (Page 2/6)

 Page 2 / 6

An experiment consists of tossing a nickel, a dime and a quarter. Of interest is the side the coin lands on.

• List the sample space.
• Let $A$ be the event that there are at least two tails. Find $\text{P(A)}$ .
• Let $B$ be the event that the first and second tosses land on heads. Are the events $A$ and $B$ mutually exclusive? Explain your answer in 1 - 3 complete sentences, including justification.
• $\left\{\left(\text{HHH}\right),\left(\text{HHT}\right),\left(\text{HTH}\right),\left(\text{HTT}\right),\left(\text{THH}\right),\left(\text{THT}\right),\left(\text{TTH}\right),\left(\text{TTT}\right)\right\}$
• $\frac{4}{8}$
• Yes

Consider the following scenario:

• Let $\text{P(C)}=0.4$
• Let $\text{P(D)}=0.5$
• Let $\text{P(C|D)}=0.6$

• Find $\text{P(C AND D)}$ .
• Are $C$ and $D$ mutually exclusive? Why or why not?
• Are $C$ and $D$ independent events? Why or why not?
• Find $\text{P(C OR D)}$ .
• Find $\text{P(D|C)}$ .

$E$ and $F$ mutually exclusive events. $P\left(E\right)=0\text{.}4$ ; $P\left(F\right)=0\text{.}5$ . Find $P\left(E\mid F\right)$ .

0

$J$ and $K$ are independent events. $\text{P(J | K)}=0.3$ .Find $P\left(J\right)$ .

$U$ and $V$ are mutually exclusive events. $P\left(U\right)=0\text{.}\text{26}$ ; $P\left(V\right)=0\text{.}\text{37}$ . Find:

• $\text{P(U AND V)}$ =
• $\text{P(U | V)}$ =
• $\text{P(U OR V)}$ =
• 0
• 0
• 0.63

$Q$ and $R$ are independent events. $\mathrm{P\left(Q\right)}=0.4$ ; . Find $\mathrm{P\left(R\right)}$ .

$Y$ and $Z$ are independent events.

• Rewrite the basic Addition Rule using the information that Y and Z are independent events.
• Use the rewritten rule to find $\mathrm{P\left(Z\right)}$ if and $\mathrm{P\left(Y\right)}=0.42$ .

• 0.5

$G$ and $H$ are mutually exclusive events. $P\left(G\right)=0\text{.}5$ ; $P\left(H\right)=0\text{.}3$

• Explain why the following statement MUST be false: $P\left(H\mid G\right)=0\text{.}4$ .
• Find: $\text{P(H OR G)}$ .
• Are $G$ and $H$ independent or dependent events? Explain in a complete sentence.

The following are real data from Santa Clara County, CA. As of a certain time, there had been a total of 3059 documented cases of AIDS in the county. They were grouped into the following categories ( Source: Santa Clara County Public H.D. ):

Homosexual/Bisexual IV Drug User* Heterosexual Contact Other Totals
Female 0 70 136 49 ____
Male 2146 463 60 135 ____
Totals ____ ____ ____ ____ ____

Suppose one of the persons with AIDS in Santa Clara County is randomly selected. Compute the following:

• $\text{P(person is female)}$ =
• $\text{P(person has a risk factor Heterosexual Contact)}$ =
• $\text{P(person is female OR has a risk factor of IV Drug User)}$ =
• $\text{P(person is female AND has a risk factor of Homosexual/Bisexual)}$ =
• $\text{P(person is male AND has a risk factor of IV Drug User)}$ =
• $\text{P(female GIVEN person got the disease from heterosexual contact)}$ =
• Construct a Venn Diagram. Make one group females and the other group heterosexual contact.

The completed contingency table is as follows:

Homosexual/Bisexual IV Drug User* Heterosexual Contact Other Totals
Female 0 70 136 49 255
Male 2146 463 60 135 2804
Totals 2146 533 196 184 3059
• $\frac{255}{3059}$
• $\frac{196}{3059}$
• $\frac{\text{718}}{\text{3059}}$
• 0
• $\frac{463}{3059}$
• $\frac{136}{196}$

Solve these questions using probability rules. Do NOT use the contingency table above. 3059 cases of AIDS had been reported in Santa Clara County, CA, through a certain date. Those cases will be our population. Of those cases, 6.4% obtained the disease through heterosexual contact and 7.4% are female. Out of the females with the disease, 53.3% got the disease from heterosexual contact.

• $\text{P(person is female) =}$
• $\text{P(person obtained the disease through heterosexual contact) =}$
• $\text{P(female GIVEN person got the disease from heterosexual contact) =}$
• Construct a Venn Diagram. Make one group females and the other group heterosexual contact. Fill in all values as probabilities.

how do they get the third part x = (32)5/4
can someone help me with some logarithmic and exponential equations.
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
Commplementary angles
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
hii
Uday
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
a perfect square v²+2v+_
kkk nice
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
rolling four fair dice and getting an even number an all four dice
Kristine 2*2*2=8
Differences Between Laspeyres and Paasche Indices
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
is it 3×y ?
J, combine like terms 7x-4y
how do you translate this in Algebraic Expressions
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
what's the easiest and fastest way to the synthesize AgNP?
China
Cied
types of nano material
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
what is nano technology
what is system testing?
preparation of nanomaterial
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
what is system testing
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
how did you get the value of 2000N.What calculations are needed to arrive at it
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1 It is estimated that 30% of all drivers have some kind of medical aid in South Africa. What is the probability that in a sample of 10 drivers: 3.1.1 Exactly 4 will have a medical aid. (8) 3.1.2 At least 2 will have a medical aid. (8) 3.1.3 More than 9 will have a medical aid.