A company receives shipments from two factories. Depending on the size of the order, a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. The company has two different suppliers. Factory Q is 60 miles from the company. Factory R is 180 miles from the company. An experiment consists of monitoring a shipment and observing B, the number of boxes, and M, the number of miles the shipment travels. The following probabity model describes the experiment:

Factory Q Factory R
small order 0.3 0.2
medium order 0.1 0.2
large order 0.1 0.1

a. Find PB M(b, m), the joint PMF of the number of boxes and the distance.
b. What is E[B], the expected number of boxes?
c. Are B and M independent?

Answers

Answer 1

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


Related Questions

Will someone double check me? I got b

Answers

Answer:

yes you're right :)

Step-by-step explanation:

you have to use the pythogram therom for this

a² + b² = c²

20² + 10² = c²

400 + 100 = c²

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solve for the value of s​

Answers

Answer:

s = 7 degrees

Step-by-step explanation:

All the angles have to add up to 180, so take 180 - 90 - 54 (the angles you know), and set them equal to 4s + 8. You get 36 = 4s + 8, subtract 8 from both sides, divide by 4, and you get that s = 7 degrees

Hopefully this helps! Let me know if you have any questions

ANSWER NOW AND ILL GIVE BRAINLIEST THANKS

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Answer and explaination:

a. 28

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4*7=28

b. 9

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In the diagram below, O is circumscribed about quadrilateral ABCD. What is
the value of ?


Answers

Answer:

21

Step-by-step explanation:

Trust

The value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

What is quadrilateral?

It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.

We have:

In the diagram below, O is circumscribed about quadrilateral ABCD.

In a quadrilateral, the sum of the opposite angles is equal to 180 degree

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Step-by-step explanation:

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Step-by-step explanation:

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18, 12, 8, ...
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Answers

Answer:

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Step-by-step explanation:

18, 12, 8, 4, 0, -4, -8, -12, -18, -24

You are going down by 4 so by the time you get to the 10th term it will be a negative.

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15% I think so tho don’t trust me Bc I’m the worst person at math

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Answer: Can you pleaes post the pic again it is not clear

Step-by-step explanation:

What solid results when you rotate the shape
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Answer:

C) an open top cone

Step-by-step explanation:

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Step-by-step explanation:

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state the gradients and the y intercepts of y=2x+6​

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Answer:

y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for x. The y-intercept is -6.

Write the equation of a line in point-slope form whose slope is 7 and passes through the point (7, -2).

Answers

Answer:

Step-by-step explanation:

m=7

So by using point slope form

y-y1=m(x-x1)

y-(-2)=7(x-7)

y+2=7x-49

y-7x+51=0

Help please asap !!!

Answers

9514 1404 393

Answer:

v(t) = $342,000×1.06^tv(8) = $545,096v(15) = $819,623

Step-by-step explanation:

When the growth (or decay) amount is a fraction or percentage of the current amount, an exponential model is indicated. Here, it will be of the form ...

  value = (initial value) × (1 + (growth rate))^t

where t is the time period corresponding to the growth rate.

We are given that the initial value is $342,000 and the growth rate is 6% in a year. So, the model can be ...

  value = 342,000×1.06^t . . . . . where t is years after 2017

__

In 2025, we are 8 years after 2017, so the value is predicted to be ...

  value = $342,000×1.06^8 ≈ $545,096 . . . in 2025

__

In 2032, we are 15 years after 2017, so the value is predicted to be ...

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In ΔUVW, u = 190 cm, v = 380 cm and w=560 cm. Find the measure of ∠W to the nearest 10th of a degree.

Answers

Answer:

157.2

Step-by-step explanation:

delta math

Please help me I tired of keep asking. If you have a heart you would help me and give me the right answer Please (NO LINKS) (NO LYING )

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Answer:quit

Step-by-step explanation:that looks lard

Siri is grocery shopping. She is buying macaroni. One box is 6 inches long, 1 inch wide and 9
inches tall. The second box is 3 inches long, 3 inches wide and 6 inches tall. Which box holds
more macaroni?

Answers

Answer:

The second box

Step-by-step explanation:

The volume of a pyramid can be given by the formula:  V=31​Ah. Where.  A:  Area of the V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

Therefore, If it is wider it has more space to carry more items such as macaroni.

How do you find the perimeter and area of each figure

Answers

Answer:

Find the perimeter and area of each individual cube then add them up,

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Perimeter=4 times side

Step-by-step explanation:

The Ratio of Girls to Boys:
The ratio of boys to girls in a summer camp is 2:5.
there are 90 girls in the camp. How many boys are in
the camp?

Answers

Answer:

36:90

Step-by-step explanation:

Boys: Girls

2     :   5

Question: How many boys are there if there are 90 girls?

The question is basically asking an equivalent ratio...

Let x be the number of boys.

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90 ÷ 5 = 18

So, if you multiply 18 by the number of the previous girls (5) you get 90

Therefore, you multiply 18 with the previous no. of boys (2) and that would be you equivalent answer!

2×18= 36

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Answers

Answer:

The answer is C) 160 in2

Step-by-step explanation

Easy!

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What is a pyramid?

A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces.

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The given figure is a pyramid having a square base.

The pyramid also has four triangular faces, each having a base of 5 in and a height of 8 in.

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= 80 in².

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A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city. A management team in Portland has a big meeting tomorrow, and all 6 members of the team are hard at work in their separate households, preparing their presentations. What is the probability that none of them has lost electricity in his/her household

Answers

Answer:

0.647 = 64.7% probability that none of them has lost electricity in his/her household

Step-by-step explanation:

For each household, there are only two possible outcomes. Either they lost electricity, or they did not. The probability of a household losing electricity is independent of any other household. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city.

This means that [tex]p = 0.07[/tex]

6 members

This means that [tex]n = 6[/tex]

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PLEASE HELP!!!!

Marvin is a builder. A client gave Marvin this diagram of the dimensions of the triangular shelves that he would like Marvin to
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Answers

The answer would be A. The triangle with the 70 seems to be isosceles and that means that two of the angles equal 70. 70+70=140. Subtract 140 from 180 to find the third angle because every triangle has a total of 180 degrees. Due to the fact that x and the 40 degrees are on the same line, they will equal 180 degrees. So, 180-40=140. X=140. I hope this helps

America paid 3% interest on a $3900 car loan for 5 years. How much interest did she pay on her car loan?

Answers

Answer:

If America paid 3% interest for a year

At simple interset ,

FV = Pv(1 + it)

FV = Future value

Pv = present value

i = interest rate

t= time

FV = Pv(1 + it)

    = $3900( 1+ 0.03 x 5)

      = $4485

FV = PV + interest

FV - PV =  interest

$4485 - $3900 = interest

interest = $585

Step-by-step explanation:

Which is equivalent to P(z ≥ 1.4)?

Answers

Answer:

1-P(z<1.4)

Step-by-step explanation:

Trust me the answer is 1-P(z<1.4).

BTW the thing between 1 and P is a minus sign

Answer:

B. 1-P(z<1.4)

8%

B. 26%

Step-by-step explanation:

In a unit circle, the point (-0.5,0.866) lies on the terminal side of an angle, theta. What is the sine of this angle?

Answers

Answer:

Step-by-step explanation:

The unit circle has a hypotenuse of 1.

[tex]sin\theta=\frac{y}{h}\\ \\ sin\theta=0.866[/tex]

WILL GIVE BRAINLEIST SO PLZ HELP IM VERY DESPERATE!

Answers

Answer: easy is 6/5

Step-by-step explanation:

Here why 3/2 times 4/5

Try the app Gauthmath!!!!! Like it will work like wonders

Which of these is NOT a Pythagorean triple?

Answers

Last one is not.
8^2+40^2=41^2
64+1600=1681
1664 is not equal to 1681

Please help me and give me explanation and stop giving me links you virus people. Please help me out.

Answers

Answer: Fifth

Step-by-step explanation: Second week really had the most sales, but it was not an option. Fifth week had the second most sales, and it WAS an option.

Answer:

Fifth.

Step-by-step explanation:

Second would have been the answer BUT second isnt a option.

Lauren wants to gift wrap a box which is in the shape of a cube. The dimensions of the cube is 25 cm. Determine the surface area of the box to knov
how much wrapping paper should be purchased.

Answers

Answer:

3,750cm²

Step-by-step explanation:

Total surface area of a cube is expressed as;

A = 6L²

L is the side length of the cube;

Given

L = 25cm

TSA = 6 (25)²

TSA = 6 * 625

TSA = 3,750cm²

Hence the total surface area of the box is 3,750cm²

i need the answer no playing around please and if the answer is right i will give you a thanks and full stars pleaseeeee

Answers

Answer:

50+50x

Step-by-step explanation:

they're asking you to use distributive property

so what you have to do is multiply everything that is in the parenthesis by 10

5x10=50

5x10x=50x

so the answer is 50+50x

have a great day :D

Answer:  50 + 50x

========================================================

Explanation:

To get this answer, we multiply the outer term 10 by each term inside

5*10 = 505x*10 = 50x

I'm using the distribution rule or distributive property. So that's why (5+5x)10 is the same as 50+50x

We could arrange the terms to get 50x+50 if you wanted.

--------------------------

Extra info (optional section):

Let's say that instead of 10, we had a smaller value like 2

(5+5x)2 would mean we have two copies of (5+5x) added together

So we'd have (5+5x)+(5+5x) = (5+5)+(5x+5x) = 10+10x

Then note how the distributive property says

(5+5x)*2 = 5*2+5x*2 = 10+10x

This is one example that helps us see how the distributive property is correct.

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