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S_A_V [24]
2 years ago
13

3/4 + (1/3 ÷ 1/6)-(-1/2)=

Mathematics
1 answer:
zhenek [66]2 years ago
5 0

Answer:

3.25

Step-by-step explanation:

3/4 + (1/3 ÷ 1/6) - (- 1/2)

3/4 + 2 - (- 1/2)

3/4 + 2 + 1/2

0.75 + 2 + 0.5

3.25

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a) P(X=3) = 0.1

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We have the following distribution

x      0     1     2   3   4

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Part a

For this case:

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Part b

We want this probability:

P(X\geq 3) =1-P(X

And replacing we got:

P(X \geq 3) = 1- [0.2+0.3+0.1]= 0.4

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For this case we want this probability:

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Part e

We can find the mean with this formula:

E(X)= \sum_{i=1}^n X_i P(X_i)

And replacing we got:

E(X) =0*0.2 +1*0.3+2*0.1 +3*0.1 +4*0.3= 2

Part f

We can find the second moment with this formula

E(X^2)= \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) =0^2*0.2 +1^2*0.3+2^2*0.1 +3^2*0.1 +4^2*0.3= 6.4

And the variance would be:

Var(X0 =E(X^2)- [E(X)]^2 = 6.4 -(2^2)= 2.4

And the deviation:

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