Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability that the first defect is caused by the seventh componenttested. Find the expected number and variance of the number of components tested before adefective component is found.

Answers

Answer 1

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

[tex]p = (0.98)^6*0.02 = 0.0177[/tex]

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with [tex]p = 0.02[/tex]

Expected number before 1 defective(n = 1). So

[tex]E = \frac{n}{p} = \frac{1}{0.02} = 50[/tex]

Variance is:

[tex]V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208[/tex]

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.


Related Questions

plzzzzzzzz help for a brainly

Answers

Answer:

246

Step-by-step explanation:

Find the volume of the cylinder.
Round to the nearest tenth.
r = 5 cm
5 cm
V = [?] cm3
Enter the number that goes in the green box.
Enter

Answers

Answer:

392.7

Step-by-step explanation:

The volume of the cylinder of radius 5 cm and a height of 5 cm will be equal to 392.7 cubics cm

What is the volume of a cylinder?

The volume of the cylinder is the product of the height, pie, and square of the radius.

The volume of the cylinder = [tex]\pi r^{2} h[/tex]

It is given that the radius of the cylinder is 5 cm and the height of the cylinder is 5 cm also.

So, The volume of the cylinder = [tex]\pi r^{2} h[/tex]

                                                  = 3.14 x 5^2 x 5

                                                  = 3.14 x 125

                                                 = 392.7 cubics cm

Thus, The volume of the cylinder of radius 5 cm and a height of 5 cm will be equal to 392.7 cubics cm.

Learn more about volume;

https://brainly.com/question/1578538

please help with this​

Answers

Answer:

5.5 or simply 6

Step-by-step explanation:

6 = 33

1 = x

6x = 33

x = 5.5 ~6

5.5 or 6
—————————————————————-

Let g be the function given by g(x) = 3 − x x + 5 .
Find and simplify g(2) − 1 g(−3)
.A) − 1 21
.B) − 2 21.
C)− 4 21
.D)− 8 21

Answers

Answer:C) -4/21

Step-by-step explanation:

a loaf of bread has 12 slice. micky ate 1/4 of the loaf. write the fraction of the loaf micky ate in twelfths

Answers

Answer:

3/12

Step-by-step explanation:

1/4*3/3=3/12

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol ( μ, rho, σ) for the indicated parameter. A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness. Use p, the true percentage of the population that suffers from extreme shyness.
a) H0 : p = 5.8%
H1 : p < 5.8%
b) H0 : p = 5.8%
H1 : p ≥ 5.8%
c) H0 : p = 5.8%
H1 : p > 5.8%
d) H0 : p = 5.8%
H1 : p ≤ 5.8%

Answers

Answer:

c) H0 : p = 5.8%

H1 : p > 5.8%

Step-by-step explanation:

At the null hypothesis, we test that the percentage is equal to a certain value. At the alternate hypothesis, we have a test about this percentage, if it is more, less, or different from the tested value.

A psychologist claims that more than 5.8 percent of the population suffers from professional problems due to extreme shyness

At the null hypothesis, we test if the percentage is 5.8%

[tex]H_0: p = 5.8\%[/tex]

At the alternate hypothesis, we test if this percentage is more than 5.8%. So

[tex]H_a: p > 5.8\%[/tex]

This means that the correct answer is given by option c.

Answer:

c) H0 : p = 5.8%

H1 : p > 5.8%

Step-by-step explanation:

Hope this helps

please help. NO LINKS. ​

Answers

Answer:

the answer is A

y= 1.9x + 69

y=6x

Can someone help me with this ?

Answers

use pythagora's theorem to solve it
c^2=a^2+b^2
x^2=(3/4)^2+1^2
x^2=25/16
x= 5/4 = 1 1/4 inch
therefore it is B
it is b
step by step

What do you think the answer is

Answers

23/69 is about fashion

help!!
using quadratic formula
round to the nearest hundred​

Answers

Answer:

x=-7±√97/4

Step-by-step explanation:

-7±√97

______

    4

The quadratic equation. (-b+/- sqrt((b^2)-4ac))/2a (plug in accordingly)

0.71 and -4.21

18 m 13m 13 m find the surface area ​

Answers

Answer:

3510 m² I guess..........

PQRS is translated 3 units down. What are the coordinates of R' , the image point of R' after the translation
A.(1,0)
B.(1,3)
C.(4,0)
D.(4,-3)​

Answers

Answer:

I think its D but I might be wrong

Step-by-step explanation:

Someone please help me!!


For the given equation, what is the step to clear the fractions and what is the result?
O Multiply both sides by 6 to get 4y - 1 = 21.
O Multiply both sides by 18 to get 12y - 3 = 7.
O Multiply both sides by 6 to get 2y - 1 = 7.

Multiply both sides by 12 to get 2y - 1 = 7

Answers

Answer:

The first choice

Step-by-step explanation:

Multiplyil by 6 to get 4y - 1 =21

PLEASE HELP I DON'T KNOW

Answers

Answer:

radius

Step-by-step explanation:

Answer:

It is the radius

Step-by-step explanation:

Find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.

Answers

Answer: 471

Step-by-step explanation:

3.14 X 5(2) X 6

3.14 X 25 X 6

471 units (3)

Answer:

401.92

Step-by-step explanation:

khan

Evaluate m) (x) for x = -3.
=
I
m (-3) =

Answers

-3m ??? Your question is not well asked

Select the correct answer from each drop-down menu

Answers

first one: Exact Form:
- 2 √2-√3-√6-√2/4
Decimal Form:
0.70710678...

After a hailstorm, a large car dealership wants to determine the proportion of cars that have damage. The service
department randomly selects 50 cars on the dealership lot, examines them, and finds that 11 cars have damage.
They want to construct a 99% confidence interval for the true proportion of cars with damage from the storm. Are
the conditions for inference met?
O Yes, the conditions for inference are met.
O No, the 10% condition is not met.
No, the randomness condition is not met.
No, the Large Counts Condition is not met.

Answers

Answer:

A, yes the conditions for inference are met

Step-by-step explanation:

I got the question right so it's right

Variable c is 9 less than variable w. Variable c is also 3 more than variable w. Which pair of equations best models the relationship between c and w? (5 points)

a
c = w + 9
c = w − 3

b
w = c + 9
w = c − 3

c
c = w − 9
c = w + 3

d
w = c − 9
w = 4c + 3

Answers

B is the right anwser

De un saco de frutas que contiene 3 naranjas, 2 manzanas, y 3 plátanos, una muestra aleatoria de 2 piezas de se selecciona la fruta. Si X es el número de naranjas e Y es el número de manzanas en la muestra, encuentre
(a) la distribución de probabilidad conjunta de X y Y, muestre la tabla de distribución;

(b) Pruebe que la suma de columnas y renglones nos entregan las distribuciones marginales de X , Y

(c) Calcule P(Y = 0|X = 2)

(d) Demuestre que las variables aleatorias X ,Y no son estadísticamente independientes

Answers

Answer:

ok

Step-by-step explanation:

i phone you have a great day but I don't think it will be a good pic of your face is it a good day today and tomorrow to drink seculari sec to

Sequences:
Determine the first five terms of the following sequences:

A. [tex]a_{n} = \frac{2n+3}{4}[/tex]

B. [tex]a_{n} = \frac{n-3}{n-2}[/tex]

Answers

Answer:

A.

aₙ = (2n + 3)/4

The first 5 terms:

a₁ = (2*1 + 3) / 4 = 5/4a₂ = (2*2 + 3) / 4 = 7/4a₃ = (2*3 + 3)/ 4 = 9/4a₄ = (2*4 + 3) / 4 = 11/4a₅ = (2*5 + 3) / 4 = 13/4

B.

aₙ = (n - 3)/(n - 2)

The first 5 terms:

a₁ = (1 - 3) / (1 - 2) = 2a₂ = (2 - 3) / (2 - 2) = undefineda₃ = (3 - 3)/ (3 - 2) = 0a₄ = (4 - 3) / (4 - 2) = 1 / 2a₅ = (5 - 3) / (5 - 2) = 2 / 3

I need help on dis one

Answers

Answer:

B, C, and D

Step-by-step explanation:

ahhhhh uh you are looking for things less than that line so you would pretty much shade in the under side of the line and any point that is in that shaded region is the answer

An assistant receives a wage of $16.24 per hour this amount is 112% of last year's wage what is the dollar increase in the hourly wage over last year use proportion method

Answers

9514 1404 393

Answer:

  $1.74

Step-by-step explanation:

The ratio of the increase to this year's wage is ...

  12%/112% = x/$16.24

Multiplying by $16.24, we have ...

  x = $16.24(12/112) = $1.74

The dollar amount of the wage increase is $1.74.

Given
mZQPS is a straight angle
mZQPR = 72 – 4°
mZRPS = 9x - 40°
Find mZQPR:
P

Answers

9514 1404 393

Answer:

  m∠QPR = 94°

Step-by-step explanation:

Given:

  m∠QPS = 180°

  m∠QPR = 7x -4°

  m∠RPS = 9x -40°

Find:

  m∠QPR

Solution:

  m∠QPR + m∠QPR = 180°

  (7x -4°) +(9x -40°) = 180°

  16x = 224° . . . . . . . . . . . . . add 44°

  x = 14° . . . . . . . . . . . . . divide by 16

  m∠QPR = 7x -4° = 7(14°) -4°

  m∠QPR = 94°

PLEASE HELP MATH QUESTION 99 POINTS HELP ASAP PLEASE
LOOK AT LINKED IMAGE FOR QUESTION.

Answers

Answer:

Graph A. not a function

Graph B. is a function

Mapping A. is a function

Mapping B. not a function

Table A. not a function

Table B. is a function

Answer:

a graph. not a function

b graph.function

a table. not a function

b table. function

maaping a. function

mapping b. not a function

Step-by-step explanatio n:

mark me brainelst plz

PLEASE HELP MATH QUESTION 99 POINTS ASAP
Function A and Function B are linear functions. Compare the two functions and choose all that are correct.

Answers

Answer:

 2 .The slope of Function A is less than the slope of Function B

A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)

The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)

_____

More detailed working

The slope of Function A can be figured easily between the points with x-values that differ by 1:

 m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.

The slope of Function B is the coefficient of x in the equation: 3.

__

The y-intercept of Function A can be found starting with point-slope form:

 y -22 = 2(x -9)

 y = 2x -18 +22

 y = 2x +4 . . . . . . . slope-intercept form

The intercept of +4 is the same as that of Function B.

Step-by-step explanation:

mrk me brainliest plz

Answer:

2 .The slope of Function A is less than the slope of Function B

A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)

The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)

_____

More detailed working

The slope of Function A can be figured easily between the points with x-values that differ by 1:

m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.

The slope of Function B is the coefficient of x in the equation: 3.

__

The y-intercept of Function A can be found starting with point-slope form:

y -22 = 2(x -9)

y = 2x -18 +22

y = 2x +4 . . . . . . . slope-intercept form

The intercept of +4 is the same as that of Function B.

Step-by-step explanation:

MARK ME BRAINLEIST PLZ PLZ PLZ

Jina's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jina $4.35 per pound, and type B coffee costs $5.80 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $510.40. How many pounds of type A coffee were used?

Number of pounds of type A coffee:

Answers

9514 1404 393

Answer:

  32 pounds

Step-by-step explanation:

Let 'a' represent the number of pounds of Type A coffee used. Then the number of pounds of Type B coffee in the mix is 2a, and the total cost of the mix is ...

  4.35a +5.80(2a) = 510.40

  15.95a = 510.40 . . . . collect terms

  a = 32 . . . . . . . . . . . divide by 15.95

Number of pounds of type A coffee: 32.

Find the value of x. 2x - 5 > 7 *

Answers

Answer:

[tex]x>6[/tex]

Step-by-step explanation:

Answer:

x > 6

Step-by-step explanation:

b) The university gym opens at 9 am on Saturday mornings. One Saturday morning at 8:55 am there are 15 students outside the gym waiting for it to open. Should you use the same approach from part (a) to calculate the expected number of smokers among these 15 students

Answers

Answer:

The complete question is:

At a university, 13% of students smoke.

a) Calculate the expected number of smokers in a random sample of 100 students from this university:

b) The university gym opens at 9 am on Saturday mornings. One Saturday morning at 8:55 am there are 27 students outside the gym waiting for it to open. Should you use the same approach from part (a) to calculate the expected number of smokers among these 27 students?

Part a is easy, because is a random sample, we can expect that just 13% of these 100 students to be smokers, and 13% of 100 is 13, so we can expect 13 of those 100 students to be smokers.

b) This time we do not have a random sample, our sample is a sample of 15 students who go to the gym in the early morning, so our sample is biased. (And we do not know if this bias is related to smoking or not, and how that relationship is), so we can't use the same approach that we used in the previous part.

Carmen drives her car 4,629 miles Uma drives her car more miles than Carmen how many miles could on my drive her car

Answers

Answer:

4,962

Step-by-step explanation:

4962 I believe tell me if I’m wrong <3
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