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3 years ago

Select the correct answer from each drop-down menu.

Mathematics

1 answer:

Harman [31]3 years ago

4 0

Answer:

AB = DF (Proved below)

Step-by-step explanation:

Here,

CE = CD + DE [since D is a point over CE]

= DE + EF [ Since, CD = EF (given)]

= DF [ Since, E is a point over DF] ---------------(1)

Again,

AB = CE (given) ------------------------(2)

So from (1) and (2),

AB = CE = DF

⇒ AB = DF (Proved)

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Answer:

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4 years ago

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3 years ago

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3 years ago

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3 years ago

Thetime(inhours)requiredtorepairamachineis an exponentially distributed random variable with parameter λ = 1 . What is 2 (a) the

mihalych1998 [28]

Answer:

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b) 0.3679

Step-by-step explanation:

Let's start by defining the random variable T.

T : ''The time (in hours) required to repair a machine''

T ~ exp (λ)

T ~ exp (1)

The probability density function for the exponential distribution is

(In the equation I replaced λ = L)

$f(x)=Le^{-Lx}$

With L > 0 and x ≥ 0

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$f(x)=e^{-x}$

For a)

$P(T>2)$

$P(T>2)=1-P(T\leq 2)$

$P(T>2)=1-\int\limits^2_0 {e^{-x} } \, dx$

$P(T>2)=1-(-e^{-2}+1)$

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For b)

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$P(T\geq 10/T>9)=P(T\geq 1)$

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$P(T\geq 1)=1-(-e^{-1}+1)=e^{-1}=0.3679$

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3 years ago