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olga55 [171]
3 years ago
15

Find the value of x.​

Mathematics
1 answer:
hoa [83]3 years ago
7 0

Answer:

x=17

Step-by-step explanation:

180=29+29+11x-65

180=58-65+11x

180=-7+11x

187=11x

x=17

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And replacing we got:    

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Step-by-step explanation:

Previous concepts

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Solution to the problem

Part a

We have the following distribution function:

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P(Y)  0.45    0.2    0.3   0.05

And we can calculate the expected value with the following formula:

E(Y)= \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:    

E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95

Part b

For this case the new expected value would be given by:

E(80Y^2)= \sum_{i=1}^n 80Y^2_i P(Y_i)

And replacing we got

E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148

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