5

A survey finds that customers are charged incorrectly for 1 out of every 30 items, on average. Suppose a customer purchases 12 items. Find the following probability...

Question

A survey finds that customers are charged incorrectly for 1 out of every 30 items, on average. Suppose a customer purchases 12 items. Find the following probability:A customer is not charged incorrectly for any item_The probability is (Round to four decimal places as needed:)

A survey finds that customers are charged incorrectly for 1 out of every 30 items, on average. Suppose a customer purchases 12 items. Find the following probability: A customer is not charged incorrectly for any item_ The probability is (Round to four decimal places as needed:)



Answers

Management The survey discussed in Example 5 also found that customers are charged incorrectly for 1 out of every 30 items, on average. Suppose a customer purchases 15 items. Find the following probabilities.
A customer is charged incorrectly on at least 2 items.

Okay. This question gives us a one and 30 chance for a given item to be scanned incorrectly, and it wants us to find the probability of no more than two items from a sample of 15 being scanned incorrectly. So the probability of at most two is given by, Well, we could either get zero and correct scans, one incorrect scan or to incorrect skins. And then you could just plug in to the binomial formula for each of these probabilities. But for more general cases than this, it would save you a lot of time to recognize that this is the same thing. Is the probability of number of incorrect scans less standard equal to? And our calculator has a built in command to find this probability for a final meal distribution. So this is given by the binomial cumulative distribution function. So CDF of well, we have 15 trials. Ah, one and 30 chance for success. And we want up to two. So if we just plug this into our calculator here, we will get that this probability is equal to point 9875

Okay, This question asks us about a situation where we have a one and 30 chance of any item being scanned incorrectly, and we want to find the probability of getting at least one incorrectly scanned item out of 15. So we're looking for the probability of at least one. And that could happen if we have one incorrect item plus two incorrect items plus all the way up to 15. But as you can see, computing, he's like 14 binomial probabilities is going to take a long time so we can actually use a quick shortcut. Because if you have at least one, well, that's the sample space of one minus the only way that can't happen. And that's if we have none incorrect. And that should make sense because the only thing that's missing in our sample space of at least one is that p of zero. So are probabilities just one minus the stuff we can't have happened, and that's just one minus well, p of zero. We don't have to use the binomial distribution for him because that could only happen if that 29 out of 30 chance to get an incorrect or to get a correct scan, Rather has to happen 15 times in a row, and if we do that, that's approximately 0.3986 and that's our in.

Okay. This question tells us that there's a one and 30 chance for an item to be incorrectly charged and asks us 15 items Air bought. What's the probability of getting three Incorrect? So this is a binomial trial because we're looking for the probability of getting que successes out of a set number of trials. So it's just n choose K Times, Peter the K Times Q to the n minus K. And now let's just fill this in with our specific case. It's in our case. We want three incorrect items out of 15 and that means that we have 15 for N and we're choosing three of them to be charged incorrectly. And the probability of getting an incorrect item is one in 30. And we need that to happen three times, which means 29 30. Chance of getting a correctly charged item must happen the remaining 12 times. So you could either do this out or you could just type in binomial pdf and your calculator with these parameters to get zero point 0112 as our probability

Okay. This question tells us about a situation where there's a one and 30 chance of being incorrectly charged for any given item, and it wants us to find the probability of getting 15 items where none are charged incorrectly so you could treat this is a binomial trial. Or I think it's easier just to do this without it because, well, how can you get 15 items without any being charged incorrectly? Well, we're looking for zero and correct items, and that can only happen if that 29 out of 30 chance to get an end correct or to get a correct item happens 15 times in a row. And if we do that, that's 0.6 014 And we could also do this using the binomial distribution. With 15 trials and zero successes, we're all defying a success as getting an incorrect item. And, as you can see, since 15 to 0 is one and 1/32 0 is one. We get the same exact answer as we did before


Similar Solved Questions

5 answers
Select -EdtingVoiceSecond Equivalence Point12Midpoint 2PHFirst Equivalence PointMidpoint-16Volume of Strong Base Added (mL)(5 pts) Data:DATA TABLE:Unknown lelter Mass 0f cipiolk acid Concentration of NaOH0.1198 g 0.104 MVolume of NaOH added at the second equivalerce point23.18 mLMoles of NaOH
Select - Edting Voice Second Equivalence Point 12 Midpoint 2 PH First Equivalence Point Midpoint- 16 Volume of Strong Base Added (mL) (5 pts) Data: DATA TABLE: Unknown lelter Mass 0f cipiolk acid Concentration of NaOH 0.1198 g 0.104 M Volume of NaOH added at the second equivalerce point 23.18 mL Mol...
5 answers
1on(ne Totzyds uale Ll interra
1 on(ne Totzyds uale Ll interra...
5 answers
Prorcthunirafor any nddnr WALLII TThcuayiniticinilSecticn 2.3 Find for the following: @x[98] o[!2] ([32](y] - 7 3 72 44.If A? =[ Frove thatA is invertible
Prorcthunira for any nddnr WALLII T Thcu ayiniticinil Secticn 2.3 Find for the following: @x[98] o[!2] ([32] (y] - 7 3 72 4 4.If A? =[ Frove thatA is invertible...
5 answers
In the following metabolic pathway (series of reactions) , high concentration of diminishes the activity of enzymez enzyme. enzyme? enzyme; enzyme:Therefore:the pathway is under feedback control:D is negative effector:enzymez an allosteric enzymeAll of the above_
In the following metabolic pathway (series of reactions) , high concentration of diminishes the activity of enzymez enzyme. enzyme? enzyme; enzyme: Therefore: the pathway is under feedback control: D is negative effector: enzymez an allosteric enzyme All of the above_...
1 answers
16 Let XI, Xn be a random sample from Be -%*Lco, wx(x), and let Y,, Yabea random sample from 82 e "2 Io. eMy): Assume that thc samples are independent: (a) Find the gencralized likelihood-ratio for tcsting Xe versus Me ,: 0, # 82 (6) Show that the generalized likelihood-ratio test can be expressed in terms of the statistic T = EX X+Ey) Arguc (Or show) that thc distribution of T does not depend on 0 = 0, 8z when M 0 is true:
16 Let XI, Xn be a random sample from Be -%*Lco, wx(x), and let Y,, Yabea random sample from 82 e "2 Io. eMy): Assume that thc samples are independent: (a) Find the gencralized likelihood-ratio for tcsting Xe versus Me ,: 0, # 82 (6) Show that the generalized likelihood-ratio test can be expr...
5 answers
PLEASEWrite DownThe Question Number FirsTThENGiveYour ANSWER(USE 2 Digit For CALCULATION) What Is the mean of the following sample data? (10 Points) 2) What Is the median of the folowing sample data? (10 Points) 3) What [5 the mode of the followng sample data? (10 Points) What E the sample standard devation of the following data? (15 Points) S) Calculate Inter Quarule Range? (15 Points)chsses18/10]50 = 581Wotai3
PLEASE Write DownThe Question Number FirsT ThEN GiveYour ANSWER (USE 2 Digit For CALCULATION) What Is the mean of the following sample data? (10 Points) 2) What Is the median of the folowing sample data? (10 Points) 3) What [5 the mode of the followng sample data? (10 Points) What E the sample stand...
5 answers
Slrt ACurdtd Hasiray esndu KaI Yuc Rulc? Nunl 'pe' deur ohex kaw tenextHoa; Aeas 302 Hr) = 7+o-o372 klhure 1S H ~dto? nf(npecF Lkere #C) InGnas?t khere UJ #kJ Delrur }bfa 9312 blorszuodt fmabrecebul 0oi B7oVecello?
Slrt ACurdtd Hasiray esndu KaI Yuc Rulc? Nunl 'pe' deur ohex kaw tenextHoa; Aeas 302 Hr) = 7+o-o372 klhure 1S H ~dto? nf(npecF Lkere #C) InGnas?t khere UJ #kJ Delrur } bfa 9312 blorszuodt fmabrecebul 0oi B7oVecello?...
5 answers
For fx) = Vx and g(x) =x+6,find the folowing functons. 4 (f0 gXx); b (g o fXx); € (f0 9)(3);d. (g o 0(3)(0 gKx) = (Simplity your answer:)(g f(x) =(Simplity your answer )(f 0 g)(3) = (Simplify your answer)d. (g f)(3) (Simplily your answer}nE235es3Llbrary
For fx) = Vx and g(x) =x+6,find the folowing functons. 4 (f0 gXx); b (g o fXx); € (f0 9)(3);d. (g o 0(3) (0 gKx) = (Simplity your answer:) (g f(x) = (Simplity your answer ) (f 0 g)(3) = (Simplify your answer) d. (g f)(3) (Simplily your answer} nE 235 es3 Llbrary...
5 answers
AnisolN-allylanilinea4-OCH;~L Ile- 772,5-dimethyl-I-hexeneN-ethylanilinete 2 4NHCH,CH;3-phenoxy-1-propenebenzanilidecil? 67(0407 24N-methylbenzamideeL Gnid_6-methyl-5-hepten-1-yne IucE (CH;)zcCHCHzCHzC-CHCNHCH}elly=1-hexyne CH,CH-CH CHzc_CHtrans-cinnamideIlcc LuPhenylacetyleneCChAcrylamideL744Iallylamine Hzc=CHCHZNHzt-butylacrylamide NHC(CH;)}Giline 6~44474 N-methylcyclohexylamine NHCH,Benzylaminepropionamide NHznecCHzNHz4l-Jt JaNAz
Anisol N-allylaniline a4- OCH; ~L Ile- 77 2,5-dimethyl-I-hexene N-ethylaniline te 2 4 NHCH,CH; 3-phenoxy-1-propene benzanilide cil? 67( 0407 24 N-methylbenzamide eL Gnid_ 6-methyl-5-hepten-1-yne IucE (CH;)zcCHCHzCHzC-CH CNHCH} elly= 1-hexyne CH,CH-CH CHzc_CH trans-cinnamide Ilcc Lu Phenylacetylene C...
5 answers
Question 22Find all solutions of the equation 2 cos 3r = 1 in the interval [0,7) . The answer is T1and =3with I1 <I2 < T3.
Question 22 Find all solutions of the equation 2 cos 3r = 1 in the interval [0,7) . The answer is T1 and =3 with I1 <I2 < T3....
5 answers
{Structure}Hemecontains an iron atomChooseis a sequence of amino acids within the hemoglobin proteinChoose.consists primarily of carbons and hydrogensChoosecan bind water weakly when oxygen is not 'on board'Choose.
{Structure} Heme contains an iron atom Choose is a sequence of amino acids within the hemoglobin protein Choose. consists primarily of carbons and hydrogens Choose can bind water weakly when oxygen is not 'on board' Choose....
5 answers
Choose the appropriate electron configuration for an element that has two unpaired electrons.1s22s22p63s' 1s?2s22p5 1s22s22p63s23p' 1s22822p63s23p4
Choose the appropriate electron configuration for an element that has two unpaired electrons. 1s22s22p63s' 1s?2s22p5 1s22s22p63s23p' 1s22822p63s23p4...
5 answers
(a) Find the orthogonal trajectory of the family of curves y? = 4cx.[2.5 Marks](b) Determine the given differential equation (x" + y" )dx - (2yx + 2y)dy =0. y(0) = 1 is exact or not: If yes; then find the exact solution of the differential equation. [2.5 Marks]
(a) Find the orthogonal trajectory of the family of curves y? = 4cx. [2.5 Marks] (b) Determine the given differential equation (x" + y" )dx - (2yx + 2y)dy =0. y(0) = 1 is exact or not: If yes; then find the exact solution of the differential equation. [2.5 Marks]...
5 answers
For each part below . Cteate three event Venn ~diagram with border representing S, and shade the region correponding to the given event(AU B)Eb: (AUB)nc(AUBUC)(AnBnc)
For each part below . Cteate three event Venn ~diagram with border representing S, and shade the region correponding to the given event (AU B)E b: (AUB)nc (AUBUC)(AnBnc)...
5 answers
Explain in 2-3 sentences the importance of the promoter sequence with respect to gene expression:
Explain in 2-3 sentences the importance of the promoter sequence with respect to gene expression:...
5 answers
Iel Ine functions f(x) =x - 1,g(x) =x2 +x,h(x)=9ax? + 8bx? _ X + L are orthogonal on ( 1,1) Then the product a b is equal (0
Iel Ine functions f(x) =x - 1,g(x) =x2 +x,h(x)=9ax? + 8bx? _ X + L are orthogonal on ( 1,1) Then the product a b is equal (0...

-- 0.020628--