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navik [9.2K]
2 years ago
12

Actividades.

Mathematics
1 answer:
Ulleksa [173]2 years ago
6 0

Answer:

ancho de ese culotote

Step-by-step explanation:

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Nadya [2.5K]

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8 0
3 years ago
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The random variable x has the following probability distribution: x f(x) 0 .25 1 .20 2 .15 3 .30 4 .10 a. Is this probability di
Reptile [31]

Answer and Explanation:

Given : The random variable x has the following probability distribution.

To find :

a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.

b. Calculate the expected value of x.

c. Calculate the variance of x.

d. Calculate the standard deviation of x.

Solution :

First we create the table as per requirements,

x      P(x)         xP(x)           x²            x²P(x)

0    0.25           0               0                0

1     0.20        0.20             1              0.20

2    0.15          0.3               4             0.6

3    0.30         0.9               9             2.7

4    0.10          0.4               16             1.6

   ∑P(x)=1     ∑xP(x)=1.8               ∑x²P(x)=5.1

a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.

\sum P(X)=0.25+0.20+0.15+0.30+0.10

\sum P(X)=1

Yes it is a probability distribution.

b) The expected value of x is defined as

E(x)=\sum xP(x)=1.8

c) The variance of x is defined as

V=\sum x^2P(x)-(\sum xP(x))^2\\V=5.1-(1.8)^2\\V=5.1-3.24\\V=1.86

d) The standard deviation of x is  defined as

\sigma=\sqrt{V}

\sigma=\sqrt{1.86}

\sigma=1.136

5 0
2 years ago
(a) Describe a property specific to squares that is not a property specific to rectangles.
blondinia [14]

Answer:

Step-by-step explanation:

(a) A square has all the 4 sides being equal while a rectangle has four sides, with the opposite sides being parallel and the same length.

(b) The diagonals bisect the angles , the diagonals are perpendicular bisectors of each other

(c) A square has two pairs of parallel sides, four right angles, and all four sides are equal while the angles of a parallelogram are not right angles

(d) a rhombus can be a rectangle (if the angles of the rhombus are all 90 degrees), and a rectangle can be a rhombus (if the sides of the rectangle are all equal length). Opposite sides are parallel.

(e) a rhombus has two opposite internal angles of equal measure, a square has four right angles with equal measure

5 0
2 years ago
Read 2 more answers
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