4

Box certal supply room contalns Tour 40- Ilghtbulbs, 60-W bulbs; and three 75-W bulbs- Suppose that three bulbs places.) What probability that exactly two lected bu...

Question

Box certal supply room contalns Tour 40- Ilghtbulbs, 60-W bulbs; and three 75-W bulbs- Suppose that three bulbs places.) What probability that exactly two lected bulbs are rated 75-W?randomiylected_ "Round Vour answversfour decimalUnatprobabillty that all three the selected bulbs have the same rating?What E the probablllly that oneeacn type selected?d) Suppose nowi that bulbs are pe selected oneJncunfii75-W bulb found_ What the probability thatNerosearAamineleast sIx bulbs?

box certal supply room contalns Tour 40- Ilghtbulbs, 60-W bulbs; and three 75-W bulbs- Suppose that three bulbs places.) What probability that exactly two lected bulbs are rated 75-W? randomiy lected_ "Round Vour answvers four decimal Unat probabillty that all three the selected bulbs have the same rating? What E the probablllly that one eacn type selected? d) Suppose nowi that bulbs are pe selected one Jncunfii 75-W bulb found_ What the probability that Nerosear Aamine least sIx bulbs?



Answers

A box in a certain supply room contains four $40-\mathrm{W}$ lightbulbs, five $60-\mathrm{W}$ bulbs, and six $75-\mathrm{W}$ bulbs. Suppose that three bulbs are randomly selected.
(a) What is the probability that exactly two of the selected bulbs are rated 75 W?
(b) What is the probability that all three of the selected bulbs have the same rating?
(c) What is the probability that one bulb of each type is selected?
(d) Suppose now that bulbs are to be selected one by one until a $75-\mathrm{W}$ bulb is found. What is the probability that it is necessary to examine at least six bulbs?

All right. So we got a box that contained 6 40 watt bulbs. 5 61 for sending by. What? Olds? That's full of 15 light holds. Um, if the bulbs were selected out of the box and random order was probably that at least two bulbs must be selected to obtain one that is redid 75 watts. Hey, so, basically, um, this is every scenario except getting 75 watt on the first try first try. Okay, um, because you don't get it on the first. Try that, either. You're gonna get it on this second, Trier, the third Tired or tired? The fifth try. So it's gonna take at least two bolds to get 75 watts unless you get it on the first try. Okay? Which means that this actually event is the compliment of this. We call this a This is gonna be complement of a All right? So, basically, you want everything, All all probabilities, Except for this one right here. So we're gonna do one minus the probability, get 75. What? First of all, that's gonna be one minus. Probably get a 75 watt bulb on your first poll. It's gonna be 4 15 So that would be 15 15 minus 4 15 So your answer would be 11 15 probability.

In this problem. The number of 40 watt bulbs is given by N 40 is equal to tool and number of 60 watt bulb is equal to 18. Total ball is equal to 30 now late, as is equal to selecting two balls at random and equal to selected two balls. R 60 watt bulbs plus I can write and as is equal to 30 C two, which is equal to 30 factorial by two factorial multiplication 13 minus two, which is 28 factorial, which is equal to 435 Now going forward, the value of any can be calculated by 18 C two, which is equal to 18 factorial by two factorial multiplication 18 minus two, which is equal to 16 factorial and it is equal to 153 Now going forward. The probability p E is equal to Anne by N s. So just putting the value here so I can write the Value Edge 153 by 435 which is equal to 0.35172 This is our answer

Problem. 15 We have 50 Lloyd pubs at which to orbit. Then we have 50 containing too bad bulbs and 48. and inspector examines five bugs by choosing five at random and without replacing. Which means the number of combinations. To select five out of the 50 is 50 shoes fire. This is the total number of of combinations for our problem for birthday. We want to find the probability that at least one defective bulb or one bad bulb Is selected among the five. The probability that at least one is bad. This means one is bad Or two is bad or three is bad for is bad or five is bad. Instead of calculating these five probabilities and add them together, we just get the compliment event. This probability equals one minus the probability for the compliment event of at least one which is not as bad. This is a compliment event for at least one is bad equals one minus to get the probability were divided by the total number of combinations Which is 50 troops five. And determined the number of combinations to have known as bad. Not as bad means that The five is good. The five selected are good means we want to choose 48. We want to choose five out of 40. Then it's 48. It choose fun. This gives us the required probability Equals 47. Divided by 240. Fight for party. We want to determine the number of bulbs to be examined so that the probability of finding at least one bad bulb exists. Half the probability of at least one is bad. You wanted to be greater than half. We know that this probability is replaced by this probability. It's one minus the probability of none is better. The probability of nannies bed is calculated by dividing by the total space which is 50 it shoes. And because we want to determine end, we want to determine the number of the examined books and to have known as bad Is to choose an out of 48 good 40 IT shoes. And this should be greater than why not. Then we can use the rules of combinations. It's 48 bacterial, divided by 48 -N. Factorial, multiplied by in factory. All of that is divided by 50 factorial, divided by 50 minus and bacterial too. Bye bye. In factory. This should be greater than half. Sorry. It's smaller than off. We get this into this direction and get off into this direction which means 48 factorial divided by 48- in victoria. In victoria it's smaller than this, divided by two, smaller than half was deployed by this. We can rewrite this By getting 50 out of the bacteria. 50 And we take 49 out of the factory Animal deploy boy. The rest the rest is 48 factory this is one of the properties the properties of the combination. Again We take 50- in out of the factorial And take 49- and out of the bacteria. And the rest It's 48- and multiplied of the bacteria multiply were. In fact this is one of the most important properties of the combination because the combinations gives us positive numbers. Then we can just the Voice 48 is canceled with 48 48 -3 factorial counseled with this in Victoria Council to resist. Then we can get this into this direction. 50 minus in deployed by 49- in should be smaller than half. multiplied by 15 October 49 25. And to blow it by 49 this means and squared -99. N close 50 multiplied by 49 -25. multiplied by 49 is 1225. should be smaller than zero by fact arising. This it gives and should be greater than 84.5 or 14.5. Course this value is rejected because we can't just 50 85 Bulbous out of 50. It's greater than the total number of Forbes and this is accepted and we choose The greatest integer. We choose 15, Then N is 15 and this is the final answer of party.


Similar Solved Questions

5 answers
(15ptsConsider the arca beneath the graph of f (z) = sin The region is shaded below.2) over the interval (x,2x].y = flz)3]
(15pts Consider the arca beneath the graph of f (z) = sin The region is shaded below. 2) over the interval (x,2x]. y = flz) 3]...
5 answers
The test tell us about the following series? (14 pcints) What does dlvergence2k + 1
the test tell us about the following series? (14 pcints) What does dlvergence 2k + 1...
5 answers
Identify the bond(s) broken and the bond(s) formed In the reaction shown. Select all thot apply.BrzHBrH-Br formed (BDE . 368 kJ/mol)C-Br formed (BDE 272 kJlmol)Br-Br broken (BDE 193 klmol)C-Br formed (BDE 285 kJ/mol)C-H broken (BDE 397 KJ/mol)C-Br formed (BDE 293 kJlmol)C-H broken (BDE 381 kJlmol)C-H broken (BDE 435 KJlmol)
Identify the bond(s) broken and the bond(s) formed In the reaction shown. Select all thot apply. Brz HBr H-Br formed (BDE . 368 kJ/mol) C-Br formed (BDE 272 kJlmol) Br-Br broken (BDE 193 klmol) C-Br formed (BDE 285 kJ/mol) C-H broken (BDE 397 KJ/mol) C-Br formed (BDE 293 kJlmol) C-H broken (BDE 381 ...
2 answers
4) A linear transformation T: R3 R3 is given by1 (HH)-EL 1 (H1 = 3 1 2_ Find the matrix of this linear transforation.2Find the image of the plane 3x - Zy + 2 = under this transforation9+5) 11 marks)
4) A linear transformation T: R3 R3 is given by 1 (HH)-EL 1 (H1 = 3 1 2_ Find the matrix of this linear transforation. 2 Find the image of the plane 3x - Zy + 2 = under this transforation 9+5) 11 marks)...
5 answers
WedassiyieTarzan swings on a 39.0-m-long vine initially inclined at an angle of 38.00 with the vertical. (a) What is his speed at the bottom of the swing if he starts from rest? m/s(b) What is his speed at the bottom of the swing if he pushes off with a speed of 6.00 m/s? m/sNoed Holp?
Wedassiyie Tarzan swings on a 39.0-m-long vine initially inclined at an angle of 38.00 with the vertical. (a) What is his speed at the bottom of the swing if he starts from rest? m/s (b) What is his speed at the bottom of the swing if he pushes off with a speed of 6.00 m/s? m/s Noed Holp?...
2 answers
12. Find all exact X-values (no ordered has relative pairs necessary) where the function y = xle extreme points (show calculus work or 0 points). Verify your answer appropriately, i.e, use the 2"d derivative test or & Y sign chart = points).
12. Find all exact X-values (no ordered has relative pairs necessary) where the function y = xle extreme points (show calculus work or 0 points). Verify your answer appropriately, i.e, use the 2"d derivative test or & Y sign chart = points)....
1 answers
$27-42$ Determine whether the series is convergent or divergent. If it is convergent, find its sum. $$\sum_{n=1}^{\infty}\left[(-0.2)^{n}+(0.6)^{n-1}\right]$$
$27-42$ Determine whether the series is convergent or divergent. If it is convergent, find its sum. $$\sum_{n=1}^{\infty}\left[(-0.2)^{n}+(0.6)^{n-1}\right]$$...
5 answers
A thin block of soft wood with a mass of 0.072 kg rests on a horizontal frictionless surface. A bullet with a mass of 4.67 g is fired with a speed of 579 m/s at a block of wood and passes completely through it. The speed of the block is 16 m/s immediately after the bullet exits the block.findKEf
A thin block of soft wood with a mass of 0.072 kg rests on a horizontal frictionless surface. A bullet with a mass of 4.67 g is fired with a speed of 579 m/s at a block of wood and passes completely through it. The speed of the block is 16 m/s immediately after the bullet exits the block.findKEf...
5 answers
CH3CH ,CuCH €h Ci3 HylrctionCyano hydrinAcetal /etais[xn w / CHz CHz OH 01pr imary Gmine Pwn form ImineRxnNJ HzOHphenul by kazin ePxn
CH3CH ,CuCH €h Ci3 Hylrction Cyano hydrin Acetal /etais [xn w / CHz CHz OH 01 pr imary Gmine Pwn form Imine Rxn NJ HzOH phenul by kazin e Pxn...
5 answers
8 1 { 1 L Data; Gn Imeonhskw/ Hiat ; Cin 'l '4iog Qeduce 1 J 13 2 { oule5 21 3 8 Could 11 ^ enet6y e 3 9u ( 4 UJGt #edsn 8 2 10 Wl efuival Gnl? [1 xamof 3 6 4/6 1 C` 8 (na j 4 4 6 0 4 ( Could ConfumPhm ; dram
8 1 { 1 L Data; Gn Imeonhskw/ Hiat ; Cin 'l '4iog Qeduce 1 J 13 2 { oule5 21 3 8 Could 11 ^ enet6y e 3 9u ( 4 UJGt #edsn 8 2 10 Wl efuival Gnl? [1 xamof 3 6 4/6 1 C` 8 (na j 4 4 6 0 4 ( Could ConfumPhm ; dram...
3 answers
2 For WCl6 , Using the X, Y; and z coordinates for each atom, determine the reducible representation for all molecular motions. Reduce this representation to its irreducible components, and classify these representations into translations, rotations, W-CI stretching vibrations, and W-Cl bending modes_
2 For WCl6 , Using the X, Y; and z coordinates for each atom, determine the reducible representation for all molecular motions. Reduce this representation to its irreducible components, and classify these representations into translations, rotations, W-CI stretching vibrations, and W-Cl bending mode...
5 answers
1 None of theElectron afinity Is -710 kJ +142kJ electron reactions alinity Process involves single addition Electon 1 8 H Process 1 1 1 (310 Elccton 2 1 2 ElectronRAMMact AMee
1 None of the Electron afinity Is -710 kJ +142kJ electron reactions alinity Process involves single addition Electon 1 8 H Process 1 1 1 (310 Elccton 2 1 2 Electron RAMMact AMee...
5 answers
A mixture datMand mnctb-Inc | e5 plessur' 0t cach &us In the mnlxtlreCumlmaiyyenpTalnInfihauc What e rc "nacll!Subrut AntvterMy Anolint VaralonHe AlS Aerttant
A mixture datMand mnctb-Inc | e5 plessur' 0t cach &us In the mnlxtlre Cumlm aiyyen pTaln Infihauc What e rc "nacll! Subrut Antvter My Anolint Varalon He AlS Aerttant...
5 answers
Find the derivative of f(x) = (3x 2x 'using the chain ruleFind the slope Ol the eurve a the given point=:(6.2)
Find the derivative of f(x) = (3x 2x 'using the chain rule Find the slope Ol the eurve a the given point =: (6.2)...
5 answers
Find the intersection points of the parabola y = 32r2 41 + 2 and the line 61 +y = 14.
Find the intersection points of the parabola y = 32r2 41 + 2 and the line 61 +y = 14....

-- 0.025386--