3 years ago

Select the correct answer.

Mathematics

1 answer:

Lyrx [107]3 years ago

6 0

Answer:

I think it's D but I am not sure.

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A random variable x takes four possible values, 0, 2, a, and b, where a and b are unknown numbers. if pr[x = 0] = 0.2, pr[x=2] =

Alexus [3.1K]

$\displaystyle\sum_{x\in\{0,2,a,b\}}\mathbb P(X=x)=1$
$\mathbb P(X=0)+\mathbb P(X=2)+\mathbb P(X=a)+\mathbb P(X=b)=1$
$0.2+0.4+0.3+\mathbb P(X=b)=1$
$\implies\mathbb P(X=b)=0.1$

$\mathbb E(X)=\displaystyle\sum_{x\in\{0,2,a,b\}}x\mathbb P(X=x)=2.8$
$0\mathbb P(X=0)+2\mathbb P(X=2)+a\mathbb P(X=a)+b\mathbb P(X=b)=2.8$
$0.8+0.3a+0.1b=2.8$
$0.3a+0.1b=2$

$a+b=6\implies0.3a+0.1b=0.2a+0.1(6)=2$
$0.2a+0.6=2\implies0.2a=1.4\implies a=7$

7 0

3 years ago

G(x) = 4x + 4<br> F(x)=3/5x - 9/5

Wittaler [7]

Answer:

need more info

Step-by-step explanation:

7 0

4 years ago

The equation c = 6.5h represents the cost, c, of renting a bicycle for h hours. The table below can be used to show the same inf

marta [7]

The answer is B. $26

4 0

3 years ago

Read 2 more answers

There are 2 apples in Sophie's lunch box1 of the apples is rotten. What fraction of apples are rotten?

lesya692 [45]

Answer:

1/2

because 2 apples are in her lunch and there is 1 box soo 2 out of 1 is 1/2

3 0

3 years ago

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Jared is creating a flower garden in the shape of a triangle. which could be the dimensions of the garden in feet

a_sh-v [17]

Answer:

B- 3 by 7 by 9 is the only right answer.

Step-by-step explanation:

What is a triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted.

Basic rule:

A triangle must be tri-sided, means it must have three sides which is only possible if the sum of the smaller two sides is greater than the third side. Otherwise, a triangle is not physically possible.

A- 2+3 = 5 hence not a triangle.

B- 3+7 > 9 hence a triangle.

C- 4+5 < 9.5 hence not a triangle.

D- 5+6 < 12 hence not a triangle.

3 0

4 years ago