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antoniya [11.8K]
2 years ago
5

HELP

Mathematics
1 answer:
Agata [3.3K]2 years ago
6 0

Answer:

A and D

Step-by-step explanation:

f(0) is the value of the function when x = 0

Given it passes through (0, 3 ) and (4, 6 )

Then when x = 0 , f(0 ) = 3 → A ( that is y = fx) = 3 )

Similarly f(4) is the value of the function when x = 4

Then when x = 4 , f(4) = 6 ( that is y = f(x) = 6 → E

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barxatty [35]

Answer:

a)Let X be number of children

X=1,2,3

P(X=1)= 0.47

P(X=2) = 0.2491

P(X=3) = 0.942923

b) 3.7970

c) 1.6232

Step-by-step explanation:

The complete question is:

A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all are boys. Assume that the probability of having a girl is 47.00​%. ​

a) Create a probability model for the number of children​ they'll have.

X=1,2,3

​P(X=1)=??

P(X=2)= ??

P(X=30=???

​(Round to four decimal places as​ needed

​b) Find the expected number of children.

E(X)= ???

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Solution:

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a) P(X=1)= 0.47

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P(X=3)= 0.47× 0.53× 0.53 + 0.53× 0.53× 0.53

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b) E(number of children)= 1× P(X=1) + 2 ×P(X=2) + 3 × (PX=3)

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c) Y: number of boys

P(Y=1)= 0.53×0.47= 0.2491

P(Y=2) = 0.53×0.53×0.47=0.46375

P(Y=3)= 0.53× 0.53× 0.53= 0.148875

E(Y)= P(Y=1)×1 + P(Y=2)×2 + P(Y=3)×3

       = 0.148875×3 +0.46375×2+0.2491 ×1

      = 1.6232

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Answer:

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