5

2 UljwLetX-UG7O , 90) Plx<80) =10! WQJI pU p 2 U isell F ijb gpjubulgxljl 0.250.50.753UljwLet X-UI70 , 90) the standard deviation is equal to:101 @QJI ju pl 2U0 ...

Question

2 UljwLetX-UG7O , 90) Plx<80) =10! WQJI pU p 2 U isell F ijb gpjubulgxljl 0.250.50.753UljwLet X-UI70 , 90) the standard deviation is equal to:101 @QJI ju pl 2U0 ixlell F iju epjubulgjlj1 46.253.132.537.4

2 Uljw LetX-UG7O , 90) Plx<80) = 10! WQJI pU p 2 U isell F ijb gp jubulgxljl 0.25 0.5 0.75 3Uljw Let X-UI70 , 90) the standard deviation is equal to: 101 @QJI ju pl 2U0 ixlell F iju ep jubulgjlj1 46.2 53.1 32.5 37.4



Answers

In $10-13,$ the mean and standard deviation of a normal distribution are given. Find each probability to the nearest hundredth.
mean $=80,$ standard deviation $=10, P(50 \leq x \leq 95)$

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.

All right, read the variable X is normally distributed with me and me equals 10 and sigma equals two. We wish to use the normal distribution table to find the following probabilities. A through e. This question is challenging your understanding. Uh normal variables or random variables that are normally distributed to solve. Let's first review relative relevant information related to this distribution before proceeding. So a Z table map Z scores on two probabilities. That is probably greater than zero equals peanut, implies that peanut is the area here in purple under the Z score to the right of ours. The not so as an example, the probably is greater than zero, for instance, is 00.5. For standard normal very variable Z because the mean is zero and we have symmetry. The segues nicely into the two theorems. We're gonna be using to solve this problem. That is a cemetery of the normal curve. And the fact that the total area of the normal curve is one. So because random variable X is not a standard normal, but instead of the normal, we have to convert to standard normal Z scores in order to compute probabilities associated. So for instance to probably X greater than X equals 10.5, we can first computers the Z score to a teensy not equal zero. That's by converting our Z score to our X. Using our sigma and dinner deviation We have X equals Z, not sigma plus new or zero times two plus 10 equals time. And be. Now I'm probably executed mexicans 100.95 gives you score of 1.65. That's access 1.65 times two plus 10 equals 13.3. Next in c we have the Z squared zero. That's probably that's the falls between zero and zero is zero. However, we can't have a problem. Is this one? So it must be that Xena is equal to zero itself, that X is equal to 10 for part D. We note that we have our random variable X attracting 10. So we subtract away than me and you 10 that we're looking for probably less than negative. Z equals one minus 10.9 5/2 0.25. That's you know, as much as 1.96. Thus X is again converting by multiplying by the standard deviation 1.96 times two equals plus. Um I have put 3.9 to notice how we didn't add 10 because we already subtracted 10 away. E assault identically to G. This time we have a Z score .005 giving the 2002.33 that access plus or -4.66

Question 20 says, find the standard deviation. The standard deviation can be found by taking the square root of the Somme of the X values minus the mean squared multiplied by the expected probability. So in question 20 either given us a probability distribution with additional information, we have the X times, the probability of their X. And then we also have 1/4 column in which they have already given us each value of X subtracted by the means already been squared, multiplied with probability. So we're gonna take those values and add them together, never gonna take the square root of their values. So we're giving 1.16 is the euro. I have a date zero 0.144 and 1.352 Some of those four values would be 3.4, and we take the square root to get our center deviation to be 1.8

All right, read the variable X is normally distributed with me and me equals 10 and sigma equals two. We wish to use the normal distribution table to find the following probabilities. A through e. This question is challenging your understanding. Uh normal variables or random variables that are normally distributed to solve. Let's first review relative relevant information related to this distribution before proceeding. So a Z table map Z scores on two probabilities. That is probably greater than zero equals peanut, implies that peanut is the area here in purple under the Z score to the right of ours. The not so as an example, the probably is greater than zero, for instance, is 00.5. For standard normal very variable Z because the mean is zero and we have symmetry. The segues nicely into the two theorems. We're gonna be using to solve this problem. That is a cemetery of the normal curve. And the fact that the total area of the normal curve is one. So because random variable X is not a standard normal, but instead of the normal, we have to convert to standard normal Z scores in order to compute probabilities associated. So for instance to probably X greater than X equals 10.5, we can first computers the Z score to a teensy not equal zero. That's by converting our Z score to our X. Using our sigma and dinner deviation We have X equals Z, not sigma plus new or zero times two plus 10 equals time. And be. Now I'm probably executed mexicans 100.95 gives you score of 1.65. That's access 1.65 times two plus 10 equals 13.3. Next in c we have the Z squared zero. That's probably that's the falls between zero and zero is zero. However, we can't have a problem. Is this one? So it must be that Xena is equal to zero itself, that X is equal to 10 for part D. We note that we have our random variable X attracting 10. So we subtract away than me and you 10 that we're looking for probably less than negative. Z equals one minus 10.9 5/2 0.25. That's you know, as much as 1.96. Thus X is again converting by multiplying by the standard deviation 1.96 times two equals plus. Um I have put 3.9 to notice how we didn't add 10 because we already subtracted 10 away. E assault identically to G. This time we have a Z score .005 giving the 2002.33 that access plus or -4.66


Similar Solved Questions

5 answers
(b) Convert pent- ene to pent-2-yne (3 steps)
(b) Convert pent- ene to pent-2-yne (3 steps)...
5 answers
Question Currant canying wires are placed [ undomm magnetk Ields indicated Figure: shovniheloWnansDuaclionSn(1) into tne page (2) towards the top the paze(I) into page Jowarastn dorom page (T)out ofthe page towards the top the pagethe Page . (2) towards the bortom of thc None thelbol
question Currant canying wires are placed [ undomm magnetk Ields indicated Figure: shovnihelo Wnans Duaclion Sn (1) into tne page (2) towards the top the paze (I) into page Jowarastn dorom page (T)out ofthe page towards the top the page the Page . (2) towards the bortom of thc None thelbol...
5 answers
Which of tkc follow Ing bce deecribes tle pattemn 0 f mictolial &ath? ella nulMLiciuie conetai Mlc Althe cellain cullcuredic All of thc ccIls in 4 culturc wrc IICVE killed The Pallem vares deerding on the antimicrobial agcnt The pattcm rancs depending the spccics
Which of tkc follow Ing bce deecribes tle pattemn 0 f mictolial &ath? ella nulMLiciuie conetai Mlc Althe cellain cullcuredic All of thc ccIls in 4 culturc wrc IICVE killed The Pallem vares deerding on the antimicrobial agcnt The pattcm rancs depending the spccics...
5 answers
Tiqutie below shows the nath arrows) Iaken alono Monen Jul drecton 110delivery vehicecity, Each block along the East Wcs direction 130 m andTatu distancruvulcde Iromn stattJnurm01220SubminamorIncemacr Trics 5{10 Erolu_ Wla Flnd te magnitude and Oeclon Ine disolacement Mrout MagnlludtMinish.Directicn
tiqutie below shows the nath arrows) Iaken alono Monen Jul drecton 110 delivery vehice city, Each block along the East Wcs direction 130 m and Tatu distancruvulcde Iromn statt Jnurm 01220 Subminamor Incemacr Trics 5{10 Erolu_ Wla Flnd te magnitude and Oeclon Ine disolacement Mrout Magnlludt Minish. ...
5 answers
'afve Vhe Etodtne | or !eBpert fot each blank shownhent |x6"at
'afve Vhe Etodtne | or !eBpert fot each blank shown hent |x6" at...
5 answers
Question 32 points 8wu0 A Auniform magnetic field with magnitude 415 mT is directed vertically upward throughout the volume of a laboratory chamber A proton with kinetic energy 344450 MeV enters the chamber; moving horizontally from south t0 north. What magnetic deflecting force acts on the proton as it enters tng chamber? The proton mass is 1.67E-27 kg. (Neglect Earth's magnetic field. None of these 8.09E-10 N 3.59E-10 N 2.70E-10 N 5.39E-10 N
Question 3 2 points 8wu0 A Auniform magnetic field with magnitude 415 mT is directed vertically upward throughout the volume of a laboratory chamber A proton with kinetic energy 344450 MeV enters the chamber; moving horizontally from south t0 north. What magnetic deflecting force acts on the proton ...
5 answers
Part ADetermine the angle between the cables ABand AC. Suppose that a = 4.5 m and b = 2 5 m (Figure 1) Expres? your ansiver Using three algnificant fgures_AzdVecSubmitPrevious Answen RequesLAniwerFigureof 1Inccrect; Ty Aqain; stternpts remainingRetum to AssignmentProvide Feedback
Part A Determine the angle between the cables ABand AC. Suppose that a = 4.5 m and b = 2 5 m (Figure 1) Expres? your ansiver Using three algnificant fgures_ Azd Vec Submit Previous Answen RequesLAniwer Figure of 1 Inccrect; Ty Aqain; stternpts remaining Retum to Assignment Provide Feedback...
5 answers
Sequence iIs defined recursively by the given formulas. Find the first five terms of the a a - 1 + a - 2 ad 21 = 3, 22 = 803Need Help?VoainMalanRnnealn[-/1 Points]DETAILSSPRECALC7 12.1.047.MY NOTESFlnd the sum_
sequence iIs defined recursively by the given formulas. Find the first five terms of the a a - 1 + a - 2 ad 21 = 3, 22 = 8 03 Need Help? Voain Malan Rnnealn [-/1 Points] DETAILS SPRECALC7 12.1.047. MY NOTES Flnd the sum_...
5 answers
An electric current transports 650. HC of charge In 37.0 minutes. Calculate the size of the electric current: Be sure your answer has the correct unit symbol and } significant digits
An electric current transports 650. HC of charge In 37.0 minutes. Calculate the size of the electric current: Be sure your answer has the correct unit symbol and } significant digits...
5 answers
Xy'' + y'=0. y1= lnx use reduction of order no formula to findsecond solution y2(x).
xy'' + y'=0. y1= lnx use reduction of order no formula to find second solution y2(x)....
5 answers
Tercpnolnh andcnco 0: [7a 5*8 sgnilicinca avalCilck E select your ansk UTa) End tnen click Check Anaor All parta showngGuppoxMadbookAlre30888%
Terc pnolnh andcnco 0: [7a 5*8 sgnilicinca aval Cilck E select your ansk UTa) End tnen click Check Anaor All parta showng Guppox MadbookAlre 30 888 %...
4 answers
Let f(x) =x sinlx) for all x €R Tnen f R ~Ris bounded below bounded bounded above Neither bounded above nor bounded below;
Let f(x) =x sinlx) for all x €R Tnen f R ~Ris bounded below bounded bounded above Neither bounded above nor bounded below;...
5 answers
A certain population of bacteria has a rate of changeproportional to itself. If in one hour you had a growth of 50percent (use differential equations):a) What is the population after t hours?b) How long will the population double?c) How much will the population have increased?d) What is the population after 3 hours?
A certain population of bacteria has a rate of change proportional to itself. If in one hour you had a growth of 50 percent (use differential equations): a) What is the population after t hours? b) How long will the population double? c) How much will the population have increased? d) What is the po...
5 answers
15) Metapopulation dynamics are mod; ed with the equation dpldt = cp(1 P) - ep, where proportion of habitat patches occupied at time patch colonization rate; and patch extinction rate. The colonization rate increases when the proportion of habitat patches occupied at a given time, becomes small Why? Extinction rates are higher There are more empty patches available for colonization Patches become lest similar to each other Patches are farther away from each other
15) Metapopulation dynamics are mod; ed with the equation dpldt = cp(1 P) - ep, where proportion of habitat patches occupied at time patch colonization rate; and patch extinction rate. The colonization rate increases when the proportion of habitat patches occupied at a given time, becomes small Why?...
5 answers
Ne 83u 0 dt Ox3x € Rt > 0
ne 83u 0 dt Ox3 x € R t > 0...

-- 0.019305--