3

For problems and &, the accompanying table shows a probability distribution thc ncarcst hundrcdth Round your answcrs to Find the mcan; /x = E[x ' p(x)]P(y...

Question

For problems and &, the accompanying table shows a probability distribution thc ncarcst hundrcdth Round your answcrs to Find the mcan; /x = E[x ' p(x)]P(y) 0.14 0.16 012 014 013 0.31Find the standard deviation, 0, = VElx? pG)F-0 Or Ox Vx(x 0,p6)

For problems and &, the accompanying table shows a probability distribution thc ncarcst hundrcdth Round your answcrs to Find the mcan; /x = E[x ' p(x)] P(y) 0.14 0.16 012 014 013 0.31 Find the standard deviation, 0, = VElx? pG)F-0 Or Ox Vx(x 0,p6)



Answers

$X$ is a binomial random variable with the parameters shown. Compute its mean $\mu$ and standard deviation $\sigma$ in two ways, first using the tables in Chapter 12 "Appendix" in conjunction with the general formulas $\mu-\Sigma_{x} P(x)$ and
$\sigma-\sqrt{\left[\Sigma_{x}^{2} P(x)\right]-\mu^{2}}$, then using the special formulas $\mu-\mathrm{wp}$ and $a-\sqrt{\mathrm{w} p \mathrm{P} \mathrm{T}}$. a. $n=5, p-0 . \overline{3}$ b. $n=10, p=0.75$

When this question we are told that x is a binomial random variable and were asked to compute the mean and standard division using the general formula And also using this special formula. So now we have any close to 10 and pupils 2.25. Using a special formula, we know that the mean is 2.5 and the standard deviation is square root of NP and Q, which is .75, which is 1.369, 3. And for B we know that using the special formula, the mean is 1.5 and the standard deviation is 1.1619. So we have our values here. Now to use the general formula, we're basically going to have to build a table of X and vfx from the probability distributions. So we'll just demonstrate what that looks like for a few of the values. So we have X. When we have peer fix And let's look at the first case we have any Sequels to 10 and p. s. equals 2.25. So that's this column over here and we're going to build this table 20 0.0563 is just the value on the table. One is actually 0.2 For 4 -1563. Which is .1877 two is that is .5-5 6 -144, which is .2816 and then going on to three is Let's see. So three is basically here. So it's point 7759 minus 77590.5 to 56 abuse us 0.2503 So that's basically how we would compute all of the values of X M p of X. All the way up to X. S equals to 10. Which in this case here is just zero. So nine is also 0, 8 is also Zeros. And then we have everything in between. And to compute the using the general formula, we would basically multiply X by P f x and take some of that. And that would give us the same mean. And to compute the standard deviation, we take x squared. So we're basically square all of these values times p fx with some that again. And then we subtract mu squared And we would get the same standard deviation. So that's how we would get eight and basically do the same thing for B where any Sequels to 15 and peace equals 2.1. Again, we build the same table of X the fx. So just to demonstrate here in X0, PFX is .0259. When exist one, we take .549 .2059. We can .3431. And we basically construct that all the way up to excess 15 where we get a probability of zero and using the same formulas here, we would get The mean to be 1.5 And the standard deviation to be 1.161 night.

Okay, X is a variable and has a uh standard normal distribution and the mean is zero and the standard deviation is one. And we want to find the probability that X is less than or equal to 1.2. So, I typed it in my computer and I got .885 but I'm not convinced that's the answer. So, I need a picture. All right. Here's the standard normal distribution And its meaning zero. And think of it as a number line. So 1.2 will be over here on the right and I want to know about X less than that. When I do f it finds the area from minus infinity up to there. So yeah, that is the right answer to this. 1.885. Now, the next one it wants x greater than or equal to -14. That's my standard normal curves kind of a flat one. Um Okay, I'm gonna make it go away, draw it again. All right, here's zero. Uh huh. Here's -14 is close closer to zero than that. So, I want everything greater than that. So, when I typed in minus 0.4 I got 0.345. And you can see that's not right because here's half over here. Okay, so remember .345 is the area from minus infinity to here. So, on this one to get the right answer, I'm going to have to do 1 -5 of -14. So .655 for this one. Mhm. All right, so when you're going to have to subtract well anytime it says greater than you're gonna have to subtract it from one.


Similar Solved Questions

5 answers
El - Iibchaves1 1 6 conditicns Clamlt1 1 4tho corpoua 1 1 8 11 1
El - Ii bchaves 1 1 6 conditicns Clamlt 1 1 4tho corpoua 1 1 8 1 1 1...
5 answers
&our: 0 of27 ot 29 (22 complote)Hw Bo1v3: 67.2496, 19.508293.8.82Question HelpDlarino uquabon tnngeni Eno und the normal bro te given poirt on Ina cutvo Grph Iargont and normit Iha pivon guph 562.7)2 676( ? - 7) ; (6,4)Mna the equaton for tno AargontEnteryour answinrtne erur boxInen clc Check ArseetrcrainingWa
&our: 0 of 27 ot 29 (22 complote) Hw Bo1v3: 67.2496, 19.50829 3.8.82 Question Help Dlarino uquabon tnngeni Eno und the normal bro te given poirt on Ina cutvo Grph Iargont and normit Iha pivon guph 562.7)2 676( ? - 7) ; (6,4) Mna the equaton for tno Aargont Enteryour answinr tne erur box Inen clc...
5 answers
5.20 surprise quiz contains three multiple-choice questions: Question has four suggested answers Question 2 has three; and Question 3 has Lwo: completely unprepared student decides to choose the answers at random: Let X denote the number of questions the student answers correctly: (2) List the possible values ofX: (6) Find the probability distribution of X: (c) Find P [ At least correct | PIX > 1]: Plot the probability histogram
5.20 surprise quiz contains three multiple-choice questions: Question has four suggested answers Question 2 has three; and Question 3 has Lwo: completely unprepared student decides to choose the answers at random: Let X denote the number of questions the student answers correctly: (2) List the po...
5 answers
Point) Solve the separable differential equationIx ~ Syvr+1 dy = 0. dxSubject to the initial condition: Y(O) 10.
point) Solve the separable differential equation Ix ~ Syvr+1 dy = 0. dx Subject to the initial condition: Y(O) 10....
5 answers
Section 14.8: Problem 9Atrvtdurs PiooiemProbiem [1Next PrgblemMtMinc r"+untLicos Ihc pulaboloiA0 nan IlpslpcnlInt o Panl Lalllit [ du @oclapuinincmOellsCn Tht'e lutW [G woreiFentlanMitetttrnnaeneirYoutav' alternexed thts F7c-I 0 tites ll-MeynetidimuaEnth
Section 14.8: Problem 9 Atrvtdurs Piooiem Probiem [1 Next Prgblem MtMinc r "+u ntLicos Ihc pulaboloi A0 nan Ilpsl pcnl Int o Panl Lalllit [ du @ocla puinincm Oells Cn Tht'e lutW [G worei Fentlan Mitetttr nnaeneir Youtav' alternexed thts F7c-I 0 tites ll-Meynetidimua Enth...
5 answers
MAT3026(3-5) Probabi__Genel bakisPlanlarKaynaklarDurum ve izlemeKatilimcilarDaha fazlaFor the following event probabilities: P(A) = O000, P(B)-0.8540, P(C)-0.5540, P(AnB)-0.8540, P(Anc)-0.5540, P(Bnc)-0.4910, P(AnBnc)-0.4910, P(AuB)-1.0000, P(Auc)-1.0000, P(Buc)-0.9170, P(AuBuc)-1.0000, P(A/B)-1.0000, P(A/c)-1.0000, find P(B|C)Yanitiniz:0.3310.9310.3270.8860.1910.2930.9180.6450.145VJ TcAi7l01439 1205.2030 QdoType here t0 search0.839
MAT3026(3-5) Probabi__ Genel bakis Planlar Kaynaklar Durum ve izleme Katilimcilar Daha fazla For the following event probabilities: P(A) = O000, P(B)-0.8540, P(C)-0.5540, P(AnB)-0.8540, P(Anc)-0.5540, P(Bnc)-0.4910, P(AnBnc)-0.4910, P(AuB)-1.0000, P(Auc)-1.0000, P(Buc)-0.9170, P(AuBuc)-1.0000, P(A/B...
5 answers
Moving another question walll save this response:Question 14Counting; the IAU Bl =|Al+IBl -IAn Bl is known as Subtraction Rule True FalseMoving = anothcr question %save tus responseLEGIONERTF ]G Y H
Moving another question walll save this response: Question 14 Counting; the IAU Bl =|Al+IBl -IAn Bl is known as Subtraction Rule True False Moving = anothcr question %save tus response LEGION E R T F ]G Y H...
5 answers
Notice that ged(30.50) =5 ' gcd(6,10) = 5.2. In fact, this is always true; prOve that if 7 0,then ged(ab; ac) geal(b,
Notice that ged(30.50) =5 ' gcd(6,10) = 5.2. In fact, this is always true; prOve that if 7 0,then ged(ab; ac) geal(b,...
5 answers
Answer All Questions Q1. Solve #y+4dY+ 8y = 6x2+ 3 d2x(0.5 Mark)Q2. Solve &z+2dv+3y = ex (0.5 Mark) d3x 0Q3_ Obtain the particular integral of (D2 ~ 2D + 1)y = sinTx + cosx(0.5 Mark)Q4. Obtain the particular integral of (D2 2D)y = e Xsin x(0.5 Mark)
Answer All Questions Q1. Solve #y+4dY+ 8y = 6x2+ 3 d2x (0.5 Mark) Q2. Solve &z+2dv+3y = ex (0.5 Mark) d3x 0Q3_ Obtain the particular integral of (D2 ~ 2D + 1)y = sinTx + cosx (0.5 Mark) Q4. Obtain the particular integral of (D2 2D)y = e Xsin x (0.5 Mark)...
5 answers
Write four equivalent forms for each rational expression.$- rac{x+6}{x-1}$
Write four equivalent forms for each rational expression. $-\frac{x+6}{x-1}$...
1 answers
A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep track of how many people used the machine over a 3 -hour period. Find the mean, variance, and standard deviation for the probability distribution. Here $X$ is the number of people who used the machine. $$ \begin{array}{l|ccccc} \boldsymbol{X} & 0 & 1 & 2 & 3 & 4 \\ \hline \boldsymbol{P}(\boldsymbol{X}) & 0.1 & 0.2 & 0.4 & 0.2 & 0.1 \end{array} $$
A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep track of how many people used the machine over a 3 -hour period. Find the mean, variance, and standard deviation for the probability distribution. Here $X$ is the number of people who used the machine. $...
4 answers
What Is the jpproximate P-value for thc following valucs of X2 and dh? (Round your WmeaeaTour declma Places )USE SALTX = 21.71, df = 13X = 25.59, df = 16x2 = 76.51, df = 19
What Is the jpproximate P-value for thc following valucs of X2 and dh? (Round your Wmeaea Tour declma Places ) USE SALT X = 21.71, df = 13 X = 25.59, df = 16 x2 = 76.51, df = 19...
5 answers
Use Lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter $p$ is a square.
Use Lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter $p$ is a square....
5 answers
Table 1: Respiration in minced pigeon breast in the presence and absence of citrate Oxygen Consumption (mmol) Time (minutes) No citrate 3 mmol citrate Difference 30 29 31 60 47 68 21 90 51 87 36 150 53 93 40
Table 1: Respiration in minced pigeon breast in the presence and absence of citrate Oxygen Consumption (mmol) Time (minutes) No citrate 3 mmol citrate Difference 30 29 31 60 47 68 21 90 51 87 36 150 53 93 40...
5 answers
When n > 1, show that all small factors of n! + 1 are odd numbers greater than n. use Eratosthenes please!
When n > 1, show that all small factors of n! + 1 are odd numbers greater than n. use Eratosthenes please!...
5 answers
2.1 Compute the energies and momenta in the CM system ofthe decay productsoft - p+v
2.1 Compute the energies and momenta in the CM system ofthe decay productsoft - p+v...
5 answers
Find the minimum sample size n needed t0 ostimate | for} tho given values of c, 6, andC= 0.98,0=9.8,and E=2Assume that a preliminary sample has at least 30 members.(Round up to the nearest whole number:)
Find the minimum sample size n needed t0 ostimate | for} tho given values of c, 6, and C= 0.98,0=9.8,and E=2 Assume that a preliminary sample has at least 30 members. (Round up to the nearest whole number:)...

-- 0.023518--