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tigry1 [53]
4 years ago
10

An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet spec

ifications are 0.91 and 0.85. Assume that the components are independent. Determine the probability mass function of the number of components in the assembly that meet specifications. X = number of components that meet specifications.
Mathematics
1 answer:
Stolb23 [73]4 years ago
3 0

Answer:0.77

Step-by-step explanation:

Let A be the specification of first components and B be the specification of second component

Let P(A) be the probability that A meets specification and P(B) be the probability that B meets specification.

Probability mass function of the number of components in the assembly that meet specification = P(A) × P(B) (since they are independent)

X= 0.91×0.85

X= 0.77

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chubhunter [2.5K]

Answer:

x  ≥ 117

Step-by-step explanation:

Let suppose Pₙ denoted the structural damage that is probable with n cans

Pₙ = P {X₁+ ....... + Xₙ ≥ w}

    = P {X₁+ ....... + Xₙ-w ≥ 0 }

So weight of the ith can denoted by Xi

From CLT , ΣXi is normal with 3n and variance 0.09

w is independent of Xi and normal

So

ΣXi-w is also normal

then mean and variance are

E [ ΣXi - w] = 3n -400

Var (ΣXi-w) = var (ΣXi) +Var (w)

                  = 0.09n +1600

So Pₙ = P{ X₁ +X₂ +.... +Xₙ -w-(3n-400) /underroot 0.09n +1600 ≥ -(3n-400)/ understoot (0.09n +160v)

this can be simplified to≈ P₀ { Z ≥ 400 - 3n / undersoot (0.09n+1600)}

P{Z ≥ 1.28 } ≈ .1

on simplifying x  ≥ 117

5 0
3 years ago
At birth, a newborn's head is about 25% of its total length. If a baby is 18 inches long, about how many inches is the baby's he
ddd [48]

Answer:

18 × 0.25 = 4.5

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
Help please show work
Mamont248 [21]

Answer:

A

Step-by-step explanation:

mathematics

6 0
3 years ago
.74817481... as a fraction
solmaris [256]

Answer:

Step-by-step explanation:

Now here's the important result of doing all of this: Notice how all of the repeating decimal parts have subtracted away to zero! We are left with a nice, simple 7481 on the right side of the equal sign.

Now, solving 9999x=7481 for x by dividing both sides of it by 9999, we'll get that x=7481/9999. And this is your answer.

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3 years ago
If a girl lifts a load of 60N to a height of 3m, find work. ​
taurus [48]

Let the mass of the object exists at 60 N and the height exists at 3m then work

exists in 1764.

What is work?

The work done by a force exists determined to be the product of a component of the force in the direction of the displacement and the magnitude of this displacement.

Work can be estimated by multiplying Force and Distance in the direction of force as follows.

W = F × d. Unit.

Given data:

m = mass of the object = 60 N

h = height = 3 m

Work = Fh = mgh

g = gravity = 9.8 m/s²

work = Fh = mgh

= 60*3*9.8

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Therefore, the work exists in 1764.

To learn more about work refer to:

brainly.com/question/15908595

#SPJ9

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