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Lyrx [107]
3 years ago
12

Use the data set to answer the question.

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
4 0

Answer:

The only choice showing the correct distribution of frequencies is c.

Step-by-step explanation:

Data Plots

Considering the provided data:

{11,15,8,2,7,10,9,12,11,8,12,3,14,8,2,9}

To produce a data plot, it's convenient to sort the data:

{2,2,3,7,8,8,8,9,9,10,11,11,12,12,14,15}

It's easier now to see the frequency of each data:

# :f

-----

2 :2

3 :1

7 :1

8 :3

9 :2

10:1

11:2

12:2

14:1

15:1

The only choice showing the correct distribution of frequencies is c.

zalisa [80]3 years ago
3 0
The answer is c I hope this helps :)
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Show that if X is a geometric random variable with parameter p, then
Lubov Fominskaja [6]

Answer:

\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}

Step-by-step explanation:

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

P(X=x)=(1-p)^{x-1} p

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

X\sim Geo (1-p)

In order to find the expected value E(1/X) we need to find this sum:

E(X)=\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}

Lets consider the following series:

\sum_{k=1}^{\infty} b^{k-1}

And let's assume that this series is a power series with b a number between (0,1). If we apply integration of this series we have this:

\int_{0}^b \sum_{k=1}^{\infty} r^{k-1}=\sum_{k=1}^{\infty} \int_{0}^b r^{k-1} dt=\sum_{k=1}^{\infty} \frac{b^k}{k}   (a)

On the last step we assume that 0\leq r\leq b and \sum_{k=1}^{\infty} r^{k-1}=\frac{1}{1-r}, then the integral on the left part of equation (a) would be 1. And we have:

\int_{0}^b \frac{1}{1-r}dr=-ln(1-b)

And for the next step we have:

\sum_{k=1}^{\infty} \frac{b^{k-1}}{k}=\frac{1}{b}\sum_{k=1}^{\infty}\frac{b^k}{k}=-\frac{ln(1-b)}{b}

And with this we have the requiered proof.

And since b=1-p we have that:

\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}

4 0
3 years ago
-0.5 - 3.5= can someone please help me!!
romanna [79]

Answer: -4

Step-by-step explanation:

8 0
3 years ago
Z=y+mx. Solve for x. I need the answer fast
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8 0
3 years ago
Solve the equation: 3.2/(z-1/2) = 2.667/(z+1/3)
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Answer:

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Step-by-step explanation:

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7 0
3 years ago
5491 apples were harvested from one side of the McMillan farm. they harvested 512 from the other side of the farm.about how many
Andrews [41]

Answer:

6003

Step-by-step explanation:

Given : They harvested 5491 apples from one side of the McMillan farm.

             They harvested 512 from the other side of the farm.

To Find : The total number of apples harvested at the McMillan.

Solution :

Since we know that

Number of apples harvested from one side of the McMillan farm = 5491

Number of apples harvested from other side of the McMillan farm = 512

Now we are supposed to calculate the total number of apples

So, we need to sum the number of apples of both the sides .

⇒5491+512

⇒6003

Hence , the number of apples harvested  at the McMillan is 6003

3 0
3 years ago
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