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777dan777 [17]
3 years ago
9

HELP ASAP !! easy question and i’ll give brainliest

Mathematics
2 answers:
tia_tia [17]3 years ago
4 0

Answer:

x=38.5

Step-by-step explanation:

\sqrt{23^{2}- 18^{2}}   =\sqrt{205}

cos(x)=\frac{18^{2} +23^{2} -205}{2(18)(23)}

x=38.5(correct to the nearest tenth)

Elanso [62]3 years ago
3 0
38.5 I believe is the answer
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Given : The random variable x has the following probability distribution.

To find :

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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

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\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

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