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torisob [31]
3 years ago
8

Help please!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0

The slope is between these two points is 3

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Thetime(inhours)requiredtorepairamachineis an exponentially distributed random variable with parameter λ = 1 . What is 2 (a) the
mihalych1998 [28]

Answer:

a) 0.1353

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

In this exercise λ = 1 ⇒

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)

P(T>2)=e^{-2}=0.1353

For b)

P(T\geq 10/T>9)

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur

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

P(T\geq 1)=1-P(T

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

4 0
3 years ago
At the Beijing Olympics,
eduard
It is 25% okay bruv
6 0
3 years ago
Hi anyone tell me the answer
Ivahew [28]

Answer:

(1,B) (1,R) (2,B) (2,R) (3,B) (3,R)

5 0
3 years ago
1 + 1 =<br> hjbvfdhbvhdvgbvjdvghsd
Hatshy [7]

Answer:

2

Step-by-step explanation:

• + • = ••

1 + 1 = 2

7 0
3 years ago
Read 2 more answers
What does the f(n - 1) represent?
leonid [27]

I'm assuming that you are talking about sequences <3

In the context of a recursive formula where we have "n-1" in sub-index of "a", you can think of "a" as the previous term in the sequence. In the context of an explicit formula like "-5+2(n-1)" "n-1" represents how many times we need to add 2 to the first term to get the nth term.

Dw if you don't understand, sequences and functions isn't an easy topic

3 0
2 years ago
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