A box of 11 transistors has 4 defective ones.
A) If 2 transistors are drawn from the box together, what is the probability that both transistors are defective?
B) If 2 transistors are drawn from the box together, what is the probability that neither transistor is defective?
C) If 2 transistors are drawn from the box together, what is the probability that one transistor is defective?

Answers

Answer 1

Answer:

(a) 0.1325

(b) 0.4045

(c) 0.463

Step-by-step explanation:

Let X denote the number of defective transistors.

The proportion of defective transistors is, p = 4/11 = 0.364.

All the transistors are independent of the others.

The random variable X follows a binomial distribution.

(a)

Compute the probability that both transistors are defective, if 2 transistors are drawn from the box together as follows:

[tex]P(X=2)={2\choose 2}(0.364)^{2}(1-0.364)^{2-2}\\\\=1\times 0.132496\times 1\\\\=0.132496\\\\\approx 0.1325[/tex]

(b)

Compute the probability that neither transistors are defective, if 2 transistors are drawn from the box together as follows:

[tex]P(X=0)={2\choose 0}(0.364)^{0}(1-0.364)^{2-0}\\\\=1\times 1\times 0.404496\\\\=0.404496\\\\\approx 0.4045[/tex]

(c)

Compute the probability that one transistors are defective, if 2 transistors are drawn from the box together as follows:

[tex]P(X=1)={2\choose 1}(0.364)^{1}(1-0.364)^{2-1}\\\\=2\times 0.364\times 0.636\\\\=0.463008\\\\\approx 0.463[/tex]


Related Questions

will someone plz do this question​

Answers

Answer:

the answer is a your welcome

I need help again please help me with this question

Answers

Answer:

The size of a sundae and the amount of calories it contains.

Step-by-step explanation:

The answer choice is the only one with a positive correlation, because it is the only one that isn't depleting or going down in size. No matter if you eat the sundae or what size it becomes, the calories it contains will still be the same for the whole amount.

When a car travels, gas is used and it depletes. As a snowball does when it melts. And "the temperature on Tuesday" has no correlation involved at all

y= p2 + qr write p in terms of y, q and r

Answers

Step-by-step explanation:

y=p²+qr

y-qr=p²

p=√y-qr

now, is it fine..

The subset of the sample space probability experiment

Answers

Step-by-step explanation:

The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.

Help me please. Thanks

Answers

Answer:

ç sir kasi multiplication gamitinnnyan

Answer:

A

Step-by-step explanation:

Find the area of the square

Area = s^2

s = 8

Area = 64 square feet.

Find the area of 1 circle.

r = d / 2

r = 4 / 2

r = 2

Area of 1 circle = pi r^2

Area of 1 circle = 3.14 * 2^2

Area of 1 circle = 12.56

Area of 4 circles

Area of 4 circles = 4 * 12.56

Area of 4 circles = 50.24

Area of unshaded area

Area of unshaded area = area square - area 4 circles.

Area of unshaded area = 64 - 50.24

Area of unshaded area = 13.76

What is the slope and the y- intercept of the line on the graph

Answers

Answer:

its c for sure, its obvious

I believe it’s the first one if not then I’m sorry

An apple tree can grow about 400 apples. Jake says that 13 apple trees can grow about​ 6,000 apples. Do you​ agree? Explain.

Answer: No. Since 13×400=5,200​, 13 apple trees can grow about 5,200 apples.​ Jake's estimate of​ 6,000 is much higher than 5,200.

Answers

Answer:

you answered it

Step-by-step explanation:

you put no blah blah blah

If Paul’s savings are 25% more than Janet’s savings,
What percentage of Paul
savings are Janet’s savings

(A) 25 %
(B). 50%
(C) 75%
(D) 80%

Answers

How much is Janet saving tho?
how much savings does Janet have?

Sam wrote his bike 2/5 of a mile and walked another 3/4 of a mile how far did he travel?

Answers

Answer:

1.15 miles

Step-by-step explanation:

Answer:

24/20

Step-by-step explanation:

Changed denominator to 20 since 4 and 5  both go into 20. Got 8/20 and 15/20. Added and got 24/20. As a mixed number it is 1  1/5/ Hope this helps!

29.9.2+ n+ 8.4 = 20.8
Please help

Answers

Answer:

n=6.42

Step-by-step explanation:

Following the steps for this equation.

Answer:

29.9.2+

Step-by-step explanation:

That should be right

Solve for e
7 = 15 - 2e
e equals....

Answers

Answer:

e=4

Step-by-step explanation:

why was mom now saying that Augie did not have to go to school​

Answers

Answer:

Is there suppose to be a picture?

Step-by-step explanation:

Answer:

Because she liked Augle more than the other child

Step-by-step explanation:

She didn't want him to go to school so that she could spend the day with her favorite child

The measure of the angle is 44 times greater than its supplement.
What is the measure of the​ supplement?

Answers

Answer: The measure of it's supplement is 4°

Step-by-step explanation:

If an angle is 44 times is supplement, then we can represent it by the equation   x = 44y    where  x is the angle and y is it's supplement.

Supplementary angles add up to 180 degrees, meaning that  x + y = 180.

  x = 44y  

x + y = 180  

Using both equations substitute the value for x in the first equation, into the second equation and solve for y.

 

44y + y = 180           Combine like terms on the left side

   45y = 180        Divide both sides   45

 y = 4  

This means the measure of it's supplement is 4 degrees.

Now input 4 into one of the equations for  y and solve for x to find the main angle.

x = 44(4)

x = 176  

This also means that the angle itself is 176 degrees.

The measure of the supplementary angle is 4°.

It is given that the measure of the angle is 44 times greater than its supplement.

We have to find out the measure of the supplement.

What are supplementary angles ?

Two angles are said to be supplementary angles if the sum of two angles is 180°.

As per the question ;

The measure of the angle is 44 times greater than its supplement.

Let's assume the supplementary angle is x .

So,

The other angle will be 44 × x .

We know that sum of two angles if they are supplementary is 180°.

x + 44 x = 180 °

⇒ 45 x = 180°

⇒ x = 180 ÷ 45

x = 4°

And the other angle will be ;

= 44 × 4

= 176°

Thus , the measure of the supplementary angle is 4°.

To learn more about supplementary angles click here ;

https://brainly.com/question/26760105

#SPJ2

FINANCE

2. Which of the following statements is FALSE?

A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are

Answers

Answer: I think its C

Step-by-step explanation:

A person begins with $1500 in her savings account. She deposits $40 per month. Let N represent the number of months she has the account. Let A represent the amount in dollars in the account

Answers

Answer:

1500+40N=A

Step-by-step explanation:

40 per month (N) plus the initial amount = $ in account (A)

84 y is directly proportional to x. Given that y = 144 and x = 12. Find the value of y when x = 7.

Answers

84y = k x X
84 x 144 = 12,096
12,096 = k x 12 Divide by 12 each side
1,008 = k
84 y = 1,008 x 7
84y = 7056 divide by 84 each side

Y = 84

Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% confidence. Assume that s = 15 based on earlier studies.

Answers

Answer:

67

Step-by-step explanation:

You have to use fractions to show your work and I'm not going to do that but just know that it is the answer.

f(x) = 72-12x what is the domain and range

Answers

Answer:

The domain is x and the range is f(x)

Step-by-step explanation:

See attachment for answer:

Explanation:

Is undefined in other words “do not exist”



Solve the inequality 2 (x - 2) +8.6 < 14.​

Answers

Answer:

x<4.7

Step-by-step explanation:

2(x-2)+8.6<14

2x-4+8.6<14

2x=4.6<14

2x<14-4.6

2x<9.4

_____

x<4.7

                                mom said its my turn to be brainliest answer ;0

                                also, help me on my math hw maybe ?

Answer: x < 4.7

Step-by-step explanation:

Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas costs $3.5/gallon.

a. Write the function that finds the cost per mile at speed v
b. What speed results in the most inexpensive driving speed?

Answers

Answer:

(17.5 / 120 - 2v) + (15 / v)

Step-by-step explanation:

Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,

chauffeur is paid $15/hour

gas cost = $3.5/gallon.

Gasoline cost per mile :

Cost per gallon = $3.5

Cost per gallon * 1/(m(v))

$3.5 * 1 / (120 - 2v) / 5

$3.5 * 5 / 120 - 2 v

= 17.5 / 120 - 2v

Time = distance / speed

Chauffeur cost = 15 per hour / v

Hence ;

Total cost :

Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

Answer would be - (17.5 / 120 - 2v) + (15 / v)

First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 v

           Then result will be = 17.5 / 120 - 2v

        Time = distance / speed Chauffeur cost = 15 per hour / v

Hence ;

The total cost will be :  Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

Learn more about

https://brainly.com/question/1499535

Michael buys pants from a clothing company for $70 dollars. He then sells each pair of pants in his clothing shop at a 40% markup. How much is the markup on the pants?

Answers

Answer:

$98

Step-by-step explanation:

70 is the original price, but the mark up is 40%. So, 40% of 70 is 28

$70 + $28 = $98

What is the measure of angle G? Type only the number:

Answers

Answer: 48

Step-by-step explanation:

total of all the degrees of the angles of the triangle is ALWAYS 180

let the measure of angle G be x

180 = 102+30+x

180 = 132+x

x = 48

If you can answer this it would help me out so much!
A certain quadratic function has the factors (x + 3) and (2x - 1). What are the solutions of the function?
A- (0,3) and (0, -1)
B- (-1,0) and (3,0)
C- (6,0) and (-3,0)
D- (0,1/2) and (0, -3)

Answers

x + 3 = 0
2x - 1 = 0
It would be D.

Answer:

Thx for my points back that you stole

Step-by-step explanation:


For a hypothesis test of the claim that the mean amount of sleep for adults is less than 6 hours, technology output shows that the hypothesis test has power of 0.4013 of supporting the claim that 6 hours of sloep when the actual population
mean is 4.5 hours of sleep. Interpret this value of the power, then identify the value of B and interpret that value
Interpret this value of the powers

Answers

Answer:

b

Step-by-step explanation:

helllppp meee please

Answers

Answer:

2, 3, 6, 7

Step-by-step explanation:

The selling price of a watch is rs 220. If 10% profit has been included in the marked price of the watch, what is the marked price??​

Answers

Answer:

22 is 10 of 220

Step-by-step explanation:

hope it help

The hypotenuse is always the __________ side of a right triangle.

Answers

Answer:

the answer is opposite

$120 less than half of d dollars

Answers

Answer:

[tex]\frac{d}{2} - 120[/tex]

Step-by-step explanation:

You work backwards:

Half of d dollars is d/2. Then you take 120 less than that, which means you are subtracting.

Answer:

1/2d-120

Step-by-step explanation:

Alright.

d=amount of money

1/2d=half of the amount of money

1/2d-120=half of the money minus 120

8y-2x=-72 in slope form

Answers

Answer:

y=1/4x-9

Step-by-step explanation:

Slope-intercept form is y=mx+b.

8y-2x=-72

Add 2x to both sides

8y=2x-72

Divide both sides by 8.

y=1/4x-9

HTH :)

How many elements are in this equation:Mg2N3? ​

Answers

Answer:

there are 2 Magnesium and Nitrogen

Step-by-step explanation:

Other Questions
What else is produced during the combustion of butane, C4H10?2C4H10 + 13O2 8________ + 10H2O Draw a street diagram based on the given information1) Fox Boulevard andHarty Way are parallel2) Barbosa Avenueintersects Harty Wayand Fox BoulevardI3) Hankins Salon andChase bank are sameside interior angles4) Buckley Park and TownHall are alternateexterior angles5) Popeye's andMcDonalds are oncorners that aresupplementary What causes waves to form....tides pull the water upward but what moves the waves side to side.A Wind and boatsB Heat and waterC Gravity and WaterD Wind and gravity which of the following file formats cannot be imported using Get & Transform? PLS HELP 35 POINTS I WILL GIVE BRAINEST 20. John Navarro is a salesperson in the appliance department at MorrisAppliance, Inc. He is guaranteed a minimum salary of $185 per week, or5.5 percent of his total saleswhichever is greater. What is his gross payfor a week in which his total sales were $3,422? What is dialogue in a short story?what the characters believewhat the characters showwhat the characters dowhat the characters say WILL MARK BRAINLIEST PLEASE HELP PLEASE!!!!!!!!! Can some one please write a essay to this pre writing thing below the prompt is Write an argumentative essay for or against viewing sports figures and celebrities as positive role models. the pre writing is the followingI: Introductory paragraph (1-2 sentences)Write an topic sentence. Have an interesting sentence to get the readers attention.Then state your claim. They are quite disciplined and follow strict regimes.II. Body paragraph - provide reasoning and support/evidence (logic) (5-7 sentences) Give two reasons that support your claim. This helps them remain in shape and it inspires us a lot. One gets a lot of motivation with the kind of professionalism they put in their work.Provide support for your evidence. Make sure to use prober vocabulary and transition words.III. Conclusion paragraph - (1-3 sentences)Sum up essay in 2 sentences.Finish essay with Leave the reader to consider your opinion.restate claim in alternate words for the last sentence in your essay. Write and solve an equation to find the value of x. PLS HELP!! the table show five of the most common chromosomal abnormalities that occur during reproduction. each abnormality cause significant alteration to the genome of the individual in which they occur. analyze the information in the table and determine the genotype of the abnormality that will result in a male having some female characteristics a) down syndrome;xy b)edwards syndrome;xx c) turner syndrome;xyy d)kilinefelter syndrome;xxy Hello how are you? Tell me in an answer for 100 points The drop down options are explicit and recursive. How did Simn Bolvar unite the peoples of Caracas, Bogota, and Quito against Spain? The work shown is a way to derive Tangent (x + y) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFractionWhat expressions go in the derivation of the tangent sum identity in place of A, B, and C?Cos y cos x tan y sin x A gas sample in a balloon contains 4.0 moles of gas at a particular pressure, volume and temperature. If your balloon springs a leak and the volume decreases to 1/2 of the original amount before you can plug the leak, how many moles of gas have you lost (temperature and pressure remain the same)? How many species of birds can be found in Uruguay?O over 400O over 600O over 1,000O over 3,000 An increase in income:________. A. changes relative prices of goods the consumer buys. B. shifts the budget constraint outward. C. shifts the budget constraint inward. D. leads to the substitution effect. ASAP plzzz thanks What is the next number in the sequence below?3,6,9,12,?O A. 21O B. 14O C. 18O D. 15 How is the purple stem trait variation similar to the tongue-rolling trait variation?