what does it mean when someone looks through your peephole in ur house and says "im comin' for u. u better run while u have the chance"?

Answer:

a) S = {(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)}

b) p(x) = 0.3 if x = 0

          = 0.6 if x = 1

          = 0.1 if x = 2

          = 0 otherwise

Step-by-step explanation:

Given - Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose a computer manufacturer receives computer boards in lots of five. Two boards are selected from each lot for inspection. We can represent possible outcomes of the selection process by pairs. For example, the pair  (1, 2) represents the selection of boards 1 and 2 for inspection.

To find - (a) List the ten different possible outcomes.

              (b) Suppose that boards 1 and 2 are the only detective boards in a lot of five. Two boards are to be chosen at random. Define X to be the # of defective boards observed among those inspected. Find the pmf.

Proof -

(a)

Given that there are 5 computer boards

Let,

The Boards are 1, 2, 3, ,4 and 5.

Now,

Total Number of possible ways of selecting 2 boards out of 5 by inspection = ⁵C₂ = [tex]\frac{51}{2! (5-2)!}[/tex] = [tex]\frac{5!}{2! 3!}[/tex] = [tex]\frac{5.4.3!}{2! 3!}[/tex] = [tex]\frac{5.4}{2.1}[/tex] = 10  

And the choices be

Choice I -

Boards 1 and Board 2

Choice II -

Board 1 and Board 3

Choice III -

Board 1 and Board 4

Choice IV -

Board 1 and Board 5

Choice V -

Board 2 and Board 3

Choice VI -

Board 2 and Board 4

Choice VII -

Board 2 and Board 5

Choice VIII -

Board 3 and Board 4

Choice IX -

Board 3 and Board 5

Choice X -

Board 4 and Board 5

And

These outcomes becomes

S = {(1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)}

(b)

Given that,  X be the number of defective boards

And there are only two defective boards (Board 1 and Board 2) in the lot

Therefore,

X can be 0, 1, and 2.

Now,

If X = 0

⇒ There is no defective boards

⇒ Possible outcomes be - { (3,4), (3,5), (4,5) }

So,

P(X=0) = [tex]\frac{3}{10}[/tex] = 0.3

Now,

If X = 1

⇒ There is one defective board

⇒ Possible outcomes be - { (1,3), (1,4), (1,5), (2,3), (2,4), (2,5) }

So,

P(X=1) = [tex]\frac{6}{10}[/tex] = 0.6

Now,

If X = 2

⇒ There is two defective boards

⇒ Possible outcomes be - { (1,2) }

So,

P(X=2) = [tex]\frac{1}{10}[/tex] = 0.1

And

P(x) = 0 if x ≠ 0, 1, 2

SO, The pmf be

p(x) = 0.3 if x = 0

      = 0.6 if x = 1

      = 0.1 if x = 2

      = 0 otherwise

Answer:

(5*8)+11 is the expression

Answer:

(6x8)+11

Step-by-step explanation:

Answer:

420 ft^2

Step-by-step explanation:

[tex]h = \sqrt{25 ^{2} - 7 } [/tex]

[tex] = \sqrt{570} [/tex]

[tex] = 24[/tex]

[tex]a = \frac{1}{2} (b1 + b2)h[/tex]

[tex] = \frac{1}{2} (14 + 21)(24)[/tex]

[tex]answer = 420ft ^{2} [/tex]

Answer:

245 ft sq

Step-by-step explanation:

Find the are of the triangle and the square seperatly.

Area of a square is A = s * s

A = 14  * 14 = 196 ft sq

Focusing on the triangle, the dotted line is the same length as the bottom of the square. 14 ft

Area of a triangle is A = 1/2 * b * h

A = 1/2 * 14 * 7

A = 7 * 7

A = 49 ft sq

So, 196 + 49 = 245

Answer:

I RLY HOPE THIS IS CORRECT WISH THE BEST OF LUCK

Answer:

12.08

Step-by-step explanation:

If you order these numbers from least to greatest, you would get...

12.08, 12.087, 12.7, 12.78, 12.807

The least second it took to complete the race is 12.08

hope you have a wonderful day too! <3

Answer:

When you multiply the number by its reciprocal the numerator of the one becomes the denominator of the other and is equals to 1 .

Answer:

a will be the correct answer bro be sure

The Regression equation best fits these data is ŷ = -0.58939x + 12.52235

We have the table as from which can be calculated as

Sum of X = 2

Sum of Y = 99

Mean X = 0.25

Mean Y = 12.375

Sum of squares (S[tex]S_x[/tex]) = 89.5

Sum of products (SP) = -52.75

As, Regression Equation

ŷ = b x + a

where b = SP/S[tex]S_x[/tex]

b = -52.75/89.5

b = -0.58939

and, a = MY - b MX

a = 12.38 - (-0.59)(0.25)

a = 12.52235

So, the required equation is ŷ = -0.58939x + 12.52235

Learn more about Regression line here:

https://brainly.com/question/7656407

#SPJ7

Answer:

A) PB M(b, m), we have;

b = 1

b = 2

b = 3

B) E(B) = 1.7

C) No they are not independent

Step-by-step explanation:

A) We are told that a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. Thus;

For PB M(b, m), we have;

b = 1

b = 2

b = 3

B) Factory Q is 60 miles from the company. Thus, under factory Q in the table, m = 60

Factory R is 180 miles from the company. Thus under factory R in the table, m = 180

Now;

P_B (b) for b = 1 which is small order is;

P_B (b) = 0.3 + 0.2 = 0.5

P_B (b) for b = 2 which is medium order is;

P_B (b) = 0.1 + 0.2 = 0.3

P_B (b) for b = 3 which is large order is;

P_B (b) = 0.1 + 0.1 = 0.2

Thus;

E(B) = Σb•P_B (b) = (1 × 0.5) + (2 × 0.3) + (3 × 0.2)

E(B) = 0.5 + 0.6 + 0.6

E(B) = 1.7

C) No, they are not independent. This is because from the table we are given, P_B,M at b = 1 and m = 60 is given as 0.3.

Whereas, for B and M to be independent, P_B,M at b = 1 and m = 60 has to be equal to (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1.

Instead what we have is P_M(m) under m = 0.3 as; 0.3 + 0.1 + 0.1 = 0.5. Which means (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1 gives;

0.5 × 0.5 = 0.25 which is not equal to P_B,M = 0.3 at b = 1 and m = 60

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Answer:

x - intercept(s) : ( -9, 0 )

y - intercept(s) : ( 0, 54 )

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Answer:

equation: s = 70W + 750

answer for 12 weeks: 1590

Step-by-step explanation:

You replace W with 12 to get the total amount per 12 weeks.

Answer:

B or 137.5.  :)

Step-by-step explanation:

Please refer to the attachment

Answer:

13:7

Step-by-step explanation:

We see that the ratio from women:children is 13:4.

Therefore, the number of women is 13.

In the ratio comparing men to children we see that it is 7:3.

Therefore, the number of men is 7.

Now we need to compare the number of women to the number of men which is 13:7.

Answer:

1 3/8

Step-by-step explanation:

Since 11 is over 8 that means you already have a whole number so you just add the 3 and you get 1 3/8

To check just in case you just multiply the whole number and denominator and then add the numerator.

Answer:

6

Step-by-step explanation:

Answer:

400+80x and 80(5+x)

Step-by-step explanation:

Answer:

4 if no tax is included because 4 times 12 equals 48

hope this helps

Step-by-step explanation:

Answer:

4 shirts in total,

12x4=48

Step-by-step explanation:

Hope this helps!

Answer:

a^2b^2 -6ab + 9

Step-by-step explanation:

Answer:

65°

Step-by-step explanation:

180-115=65

The number on top of sigma is the number of terms.

The answer is C. 8 terms.

Answer:

2

Step-by-step explanation:

Answer:

$7

Step-by-step explanation:

$10 - $3 = $7

Answer:

1 17/24

Step-by-step explanation:

If you want to turn it into a mixed number, divide.

24 goes into 41 1 time

41-24=17

1 17/24

Answer:

can I have it pls I am begging you oh and there is no question so I cannot answer anything

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

The total number of pencils that Mr. Moretti gives to his is 162.

Step-by-step explanation:

He puts 3 mechanincal pencils in each bag.

In each bag, there is also twice as many regular pencils, that is, 3*2 = 6 regular pencils.

So in each bag, 3 + 6 = 9 pencils.

What is the total number of pencils that Mr. Moretti gives to his students if he puts 3 mechanical pencils in each bag?

18 students, and each gets 9 pencils.

18*9 = 162

The total number of pencils that Mr. Moretti gives to his is 162.

Answer:

162 pencils

Step-by-step explanation:

i did the i ready lesson!

Answer:

80-

Step-by-step explanation:

20 percent (calculated percentage %) of what number equals 16? . well ofc as i said- its 80

Answer:

As per the graph, the function starts at point (0, -2) point it self not included.

The graph is extended down and right, so the given point is maximum of the function.

The domain:

The range:

Range

Set of y values

As -2 is not included (open dot)

Domain

Set of x values

0 is not included (open dot)