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amid [387]
3 years ago
15

PART 1:

Mathematics
1 answer:
Tju [1.3M]3 years ago
4 0
See the attached figure

A(4,8)  B(0,7)  C(4,3)
<span>the line of reflection is x=5
</span>
the reflection is (x,y)-------------------> (10-x,y)
therefore
A(4,8)-----------------> A1(10-4,8)------> A1(6,8)
B(0,7)-----------------> B1(10-0,7)------> B1(10,7)
C(4,3)-----------------> C1(10-4,3)------> C1(6,3)


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Answer:

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Step-by-step explanation:

The probability that the random variable X takes the value x is given by P(X=x) = 25Cx 0.05^x0.95^{25-x}. Then,

(a) P(X\leq) = (25C0)(0.05^0)(0.95^{25}) + (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23})=  0.873

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(c) P(1\leqX\leq4) = (25C1)(0.05^1)(0.95^{24}) + (25C2)(0.05^2)(0.95^{23}) + (25C3)(0.05^3)(0.95^{22}) + (25C4)(0.05^4)(0.95^{21}) = 0.715

(d) P(X=0) = (25C0)(0.05^0)(0.95^{25}) = 0.277  

(e) E(X) = np = (25)(0.05) = 1.25 and Sd(X) = \sqrt{Var(X)} = \sqrt{np(1-p)} = 1.09

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