5

Standard DOTIAL Ttulom variable (i.e, for aN( = 0.0 = I) find the following:P(Z < 13P(z > 241P(-I<2 <0.31)The 97.5' percentik(the value which has 0...

Question

Standard DOTIAL Ttulom variable (i.e, for aN( = 0.0 = I) find the following:P(Z < 13P(z > 241P(-I<2 <0.31)The 97.5' percentik(the value which has 0.025 in the upper Enil) .

standard DOTIAL Ttulom variable (i.e, for a N( = 0.0 = I) find the following: P(Z < 13 P(z > 241 P(-I<2 <0.31) The 97.5' percentik (the value which has 0.025 in the upper Enil) .



Answers

Find the standard deviation.
$$\begin{array}{|c|c|c|c|}\hline x & {P(x)} & {x^{*} P(x)} & {(x-\mu)^{2} P(x)} \\ \hline 2 & {0.1} & {2(0.1)=0.2} & {(2-5.4)^{2}(0.1)=1.156} \\ \hline 4 & {0.3} & {4(0.3)=1.2} & {(4-5.4)^{2}(0.3)=0.588}
\\ \hline 6 & {0.4} & {6(0.4)=2.4} & {(6-5.4)^{2}(0.4)=0.144} \\ \hline 8 & {0.2} & {8(0.2)=1.6} & {(8-5.4)^{2}(0.2)=1.352}
\\ \hline \end{array}$$

This question asks us to find the mean variance and standard deviation of a binomial distribution. We're told that the parameters of this distribution are that we have 124 trials and a probability of success equal to 0.26 So and is 1 24 and P is 0 26. Let's start with the mean, which we right, as the Greek letter mu mean, is going to be equal to end times p or the number of trials, times of probability of success. In this instance, it will be 1 24 times 0.26 which is equal to 32.24 So this is the mean of our binomial distribution. Now let's take a look at the variance we write. Variance as Sigma squared in various is equal to end times P. Times Q. Now we don't have AH value for Q Given, but it's something that we can find. Q is just the probability of failure. So the opposite of P, which means Q will always be equal to one minus p. If we subtract 0.26 from one will find that Q is equal to zero point 74 So any times p times Q in this instance is going to be 1 24 times 0.26 times 0.74 And when we plug this into a calculator will get that our variance is 23.8576 And finally, now we want to find our standard deviation are standard deviation is just the square root of our variants. That's all we need to do is so we're gonna take the square root of that number. We just found 23.8576 and we'll find that our standard deviation is about equal to four point eight eight. So these are your final answers. We found them mean the variants and the standard deviation of this distribution, and that was that.

All right. Random variable X is normally distributed with me in new equals 10 and segment equals two. We wish to use the normal distribution to find the following probabilities A three. This question is challenging and understanding of normal distributions. So remember that a Z table maps the scores under probabilities for the standard normal distribution. So focusing first on the standard normal. Before we dive into how to utilize for variable X. We have the probability that the grid and equals peanut corresponding to the area and purple peanut to the right of ours. Not score as an example is probably greater than 0.5. We can solve for such problems using the symmetry of the normal curve and the fact that the total area under normal covers one. Specifically with itself For this problem, we need to convert our variable X to a Z score using the conversion Z equals x minus mu over sigma doing this. We can utilize in normal table or the normal distribution table with the standard normal. So Z equals 13 minutes. 10/2 is equal to 1.5. That's probably the less than 1.5 is equivalent to the probability X less than 13.9332. We proceed to solve following the same for part B Z is negative 0.5 plugging in X. That's probably the greater the negative 0.5 point 6915 and cr z scores are negative two and two. Probably easy fall between these cores is 20.9545. FD Z scores are negative four negative three. The probability is 30.13. Z falls between. Finally, an E Z scores are negative six negative one. The probability falls between these as 10.1587.

The parameters are given here and it's 20 And we have sample bidding for 9.3, Available to the population variance 95 and already both expression variances less than 95. So put the boat over here these protests and find the value accordingly and always have been called for china's purposely if you want to have a negative one times as federal, it must not swallow We go quarters and you get 9.86 when there's going to be standpoint. And I think the people using technology, everything technology right now the P values Coming up to be equal to the .44 Your .4 for the airport Now by 0.1. So we have p values less than number. Therefore we reject policies reject this is so yeah, therefore the statement as we have So recommend the population variances less than 95. So we reject collaborators here. There's no clear evidence that population variances less than 95. I'm again deputy. There is sufficient evidence that population variances less than 95. Thank you.

That guy's moving on to number 10. So that's pretty much the same as number nine. Um, so we want to know the proportion of observations from a standard A normal distribution like number nine once the proportion of observations that are between minus 2.2 dean and minus 014 0.4 actually. So in other words, we want to know the area between those two boundaries. We'll be with same ways number nine. So look at the chart and the annex. Um, except this time we're gonna stir to it. The right boundary are you get That's always what we were doing. We want to know the area between minus infinity and minus through prints before no Agnes attract that too, the area between minus infinity and minus 2.13 so that one should be really small, actually, on looking shirt. What I see is that at minus point and mine is Europe Wednesday before we have 0.48 for zero net minus is 2.13. We have serial 10 16 and so this is eagle to 0.4674 That's it for this problem. Short and sweet


Similar Solved Questions

5 answers
1) (a) Calculate the density of sulfur hexafluoride gas at 707 torr and 21"C. (b) Calculate the molar mass of a vapor that has density of 7.135 gL at 12"C and 743 tOrT.
1) (a) Calculate the density of sulfur hexafluoride gas at 707 torr and 21"C. (b) Calculate the molar mass of a vapor that has density of 7.135 gL at 12"C and 743 tOrT....
5 answers
CH3 H;c _ CHz C-OH HC! CHs cio CH; Chb CHz- CH - SCo HsC-CHz ~Cish Shzo CHs CHb CHs CHz CHs-CHz-C-HCOz Cls-CkZc-S} [email protected]? Ch; CHs Naclmolecular 88.148 Wueight Zbh60 massIdb. 54132.1bmolesFheaellaall masS[Ieoretical mass
CH3 H;c _ CHz C-OH HC! CHs cio CH; Chb CHz- CH - SCo HsC-CHz ~Cish Shzo CHs CHb CHs CHz CHs-CHz-C-HCOz Cls-CkZc-S} [email protected]? Ch; CHs Nacl molecular 88.148 Wueight Zbh60 mass Idb. 54 132.1b moles Fheaellaall masS [Ieoretical mass...
5 answers
Aproton moves around a circular path (radius = 2.0 mm) in a uniform 0.25-T magnetic field. What total distance does this proton travel during a 1.0-s time ?interval in km
Aproton moves around a circular path (radius = 2.0 mm) in a uniform 0.25-T magnetic field. What total distance does this proton travel during a 1.0-s time ?interval in km...
5 answers
Considerithe matix A = [H1l Then for every positive integer n we haveIAN 2 2MAAM = [email protected] #he above is trueD the above is true4n =AKuh lthelabeyemisitrueKdh Ncne pfithese
Considerithe matix A = [H1l Then for every positive integer n we have IAN 2 2MA AM = 2n71A @ #he above is true D the above is true 4n =A Kuh lthelabeyemisitrue Kdh Ncne pfithese...
5 answers
Question The sequence (bn) is given by: b1 fixed constant.8. b,+l 6,(2 b,) for n cN, where 8 € R(a) For & € [0,2] prove that the sequence (b,) is convergent and find its limit_ (b) For 8 € (-0,0) U(2, Foc); prove that the sequence (bn) is divergent and find lim sup ba +OC and lim inf ba_ SOC(c) Let f : R R be continous function such that f(r) f (r(2 2)) , for each r € R Prove that f is constant on [0.2]_
Question The sequence (bn) is given by: b1 fixed constant. 8. b,+l 6,(2 b,) for n cN, where 8 € R (a) For & € [0,2] prove that the sequence (b,) is convergent and find its limit_ (b) For 8 € (-0,0) U(2, Foc); prove that the sequence (bn) is divergent and find lim sup ba +OC and...
5 answers
Previous ProblemProblem ListNext Problempoint) Find the sum of the first terms of the geometric sequence the first term I5 and the common ratio
Previous Problem Problem List Next Problem point) Find the sum of the first terms of the geometric sequence the first term I5 and the common ratio...
5 answers
0u1s! + 0so? 01 JBYI J^QJd sjquunu Xo[duo) pUB S3u?s JO 28p2[MOUY Inok Suisn (suuzod $) (p ""1Ins?1 [eJ?u33 J41 JuluJDIOQ 3133 nof HIM suonnpos Kuew MOY "271 4!JO IOO1 4! 341 SuJuJuj?np U24M (sujod p) (anje^ ?in[osqe pue roie3nfuoj xapduoj $.1InS?1 J41 JUJuJ?1op OSIV ` tc(1+ [) Juluuj?na (sjuzod p) (4'S2![ ulod 341 4214M 4! Juejpenb 241 AJQu?p[ 'JBUJOJ (4 *x) U! +/ugpa.ZA Q1M (Juzod z) (e
0u1s! + 0so? 01 JBYI J^QJd sjquunu Xo[duo) pUB S3u?s JO 28p2[MOUY Inok Suisn (suuzod $) (p ""1Ins?1 [eJ?u33 J41 JuluJDIOQ 3133 nof HIM suonnpos Kuew MOY "271 4!JO IOO1 4! 341 SuJuJuj?np U24M (sujod p) ( anje^ ?in[osqe pue roie3nfuoj xapduoj $.1InS?1 J41 JUJuJ?1op OSIV ` tc(1+ [) Juluu...
5 answers
Suppose that A and B are sets and thatn(A) = 10 while n(B) = 14. How many members are in the Cartesian Product A X B?14024None of the others are correct401014
Suppose that A and B are sets and thatn(A) = 10 while n(B) = 14. How many members are in the Cartesian Product A X B? 140 24 None of the others are correct 40 1014...
5 answers
Find equatlons for the tangent Iines to the graph at the given points (7, 7) and (7,17)At (7 , 7)At (7, ~7)
Find equatlons for the tangent Iines to the graph at the given points (7, 7) and (7,17) At (7 , 7) At (7, ~7)...
5 answers
A) NO CHANGEB) your washer and dryerC) you're washers and dryersD) you're washer and dryer
A) NO CHANGE B) your washer and dryer C) you're washers and dryers D) you're washer and dryer...
5 answers
U58 Ihe folpjinj uncbonaniqrapnansvrgr (a) tnrough (d) below:Let f *)aGZBAnc enuallim f~idoes noi exatbecause f{4)is undefinedIxianadI) Sclecl (hu: coed chcicu: belo"" an4 Iill Ay ;NSOAOIEYMMr EnninKxh=((x) =(Simplm "cuc answbr;The limit dces474
U58 Ihe folpjinj uncbonani qrapn ansvrgr (a) tnrough (d) below: Let f *)a GZBAnc enual lim f~idoes noi exatbecause f{4)is undefined Ixianad I) Sclecl (hu: coed chcicu: belo"" an4 Iill Ay ;NSOAOIE YMMr Ennin Kxh= ((x) = (Simplm "cuc answbr; The limit dces 474...
1 answers
Sketch the graph of the function. $$f(x, y)=\sqrt{4 x^{2}+y^{2}}$$
Sketch the graph of the function. $$f(x, y)=\sqrt{4 x^{2}+y^{2}}$$...
4 answers
A distribution of scores is normally distributed with amean 𝜇 = 89 and a standarddeviation 𝜎 = 4.9. If one score is randomly sampledfrom the distribution, what is the probability that it will be(a) Greater than 96?(b) Between 90 and 97?(c) Less than 88?
A distribution of scores is normally distributed with a mean 𝜇 = 89 and a standard deviation 𝜎 = 4.9. If one score is randomly sampled from the distribution, what is the probability that it will be (a) Greater than 96? (b) Between 90 and 97? (c) Less than 88?...
5 answers
This is a ray diagram problem Draw a Scm tall object that is 1Ocm to the left of a converging lens with a focal length of 4cm Draw a ray diagram to find the location and size of the image. Your answer must plausibly come from the diagram; and not from calculation.
This is a ray diagram problem Draw a Scm tall object that is 1Ocm to the left of a converging lens with a focal length of 4cm Draw a ray diagram to find the location and size of the image. Your answer must plausibly come from the diagram; and not from calculation....
3 answers
For the low pass filter with the specifications:Finite impulse responseStop band atlenuation 50 dBPass band edge 1.75 kHzTransition width 1.5 kHzSampling frequency 8 kHza. Write the difference equation for the filter..
For the low pass filter with the specifications: Finite impulse response Stop band atlenuation 50 dB Pass band edge 1.75 kHz Transition width 1.5 kHz Sampling frequency 8 kHz a. Write the difference equation for the filter. ....

-- 0.025850--