PLS HELP ME NOW THERE DIFFERENT QUESTIONS

xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl

Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

$E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)$ $\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\ \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}$

Step 2:

Find the standard deviation.

$Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}$ $=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)$ $=4(0.25)+1(0.05)+0(0.15)+1(0.55)$ $=1+0.05+0+0.55=1.60$

Thus, the standard deviation is 1.60

Answer:

1.60

8 0

1 year ago

Which of the following statements are true? Select all that apply

trapecia [35]

Answer:

<h3>1) The correlation coefficient gives us information as to how strong the linear association is between two quantitative variables.</h3><h3>2) The Correlation coefficient has units of measurement and does always lie between -1.0 and +1.0</h3><h3>3) The closer the absolute value of r is to 1, the stronger the relationship is between the two variables. </h3>

Step-by-step explanation:

The choices are

1) The correlation coefficient gives us information as to how strong the linear association is between two quantitative variables.

2) The Correlation coefficient has units of measurement and does always lie between -1.0 and +1.0

3) The closer the absolute value of r is to 1, the stronger the relationship is between the two variables.

4) A correlation coefficient of r=0 indicates a strong linear relationship between two variables.

The correlation coefficient is a number from -1 to 1, which indicates how strong can be the correlation between variables. It could be a strong positive correlation or a strong negative correlation. If the correlation coefficient is close to -1, then it's a strong negative correlation. If the correlation coefficient is close to 1, then it's a strong positive correlation.

Therefore, the first choice is correct.

The second choice is also correct, because the correlation coefficient is restricted to the interval [-1, 1].

The third choice is also crrect, because 1 represents a strong correlation between variables, but to have full answer, it should say "a strong positive corrrelation".

8 0

3 years ago

-7/2 + 1/4 the answer and how to get the answer, how to solve the problem

ale4655 [162]

Answer:

-13/4

Step-by-step explanation:

common denominator -

2*-7/2*2)+1/4=-14/4+1/4

= -13/4

3 0

3 years ago

Given that these simultaneous equations

Tatiana [17]

The value of k is $(3\sqrt{ 10})/2$

<h3>How to solve the simultaneous equation?</h3>

Given:

x-y=k.............(eq i)

2x²+y²-15..............(eq ii)

We would make y the subject formula in eq ii

2x²+y²-15= 0

2x² + y²= 15

y²= 15-2x²

y= $\sqrt{15-2x^2}$ ...........(eq iii)

Substitute the value of y into eq i

x-( $\sqrt{15-2x^2}$ = k

x- ( $\sqrt{15} - 2x$ = k

k= $(3\sqrt{ 10})/2$

Read more about simultaneous equations here:

brainly.com/question/16863577

#SPJ1

3 0

2 years ago

Problem #32 <br> I am not sure if I did this right can you check please and explain

Natasha2012 [34]

Answer:

Step-by-step explanation:

It seems you got the right answer, but didn’t do the problem correctly.

The square root of 2 times the square root of 2 is 2. And then 6 times the square root of two minus the product of 6 and the square root of two equals zero. And then obviously 6 and -6 equals -36. So 2+-36 is -34

6 0

3 years ago