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-BARSIC- [3]
2 years ago
10

Surface-finish defects in a small electric appliance occur at random with a mean rate of 0.3 defects per unit. find the probabil

ity that a randomly selected unit will contain at least two surface-finish defect.
Mathematics
1 answer:
mario62 [17]2 years ago
4 0

Answer: Probability that a randomly selected unit will contain at least two surface- finish defect is 0.04.

Step-by-step explanation:

Since we have given that

Mean rate defects per unit = 0.3

Since we will use "Poisson distribution":

P(X=K)=\frac{e^{-\lambda}\lambda^k}{k!}

But we need to find the probability that a randomly selected unit will contain at least two surface-finish defect.

P(X\geq 2)=1+P(X=0)+P(X=1)

So,

P(X=0)=\frac{e^{-0.3}0.3^0}{0!}=e^{-0.3}=0.74\\\\P(X=1)=\frac{e^{-0.3}\times 0.3}{1}=0.22

so, it becomes,

P(X>2)=1-(0.74+0.22)=1-0.96=0.04

Hence, probability that a randomly selected unit will contain at least two surface- finish defect is 0.04.

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Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of
Gelneren [198K]

Answer:

a

   P(X <  24 )=  21.186\%  

b

    x =  19.78 \  months

Step-by-step explanation:

From the question we are told that

 The mean is   \mu  =  26 \  months

 The standard deviation is  \sigma  =  4 \  months

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Generally the percentage of total production will the company expect to replace is mathematically represented as

      P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )

Generally  \frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )

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Generally from the z-table  

       P(Z <  -0.8) =  0.21186

So

       P(X <  24 )=  0.21186

Converting to percentage

      P(X <  24 )=  0.21186  * 100

=>    P(X <  24 )=  21.186\%  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06

=> P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06

From the normal distribution table the z-score for  0.06 at the lower tail  is

       z = -1.555

So

    \frac{x - 26}{4} = -1.555

=> x =  19.78 \  months  

6 0
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Answer:

"A lock of straw-colored hair wedged between the mottled page of a Victor Hugo novel."

Step-by-step explanation:

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4 0
2 years ago
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Find the measure of APBˆ. A. 130 B. 63 C. 50 D. 230
Daniel [21]

Answer:

65

Step-by-step explanation:

TAB is an isosceles triangle by the point to tangent theorem theorem.

BAT and BAT are congruent because of the isosceles triangle definition.

CAT and ABT are right angles by the tangent theorem.  

Thus, CAB and CBA are both 90 - 65 = 25.

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APB is one half of ACB by the inscribed angles theorem.

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Let number of driveways , she shoveled on Sunday = x

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Therefore,

143 = 44 + 11x

And that's the model for the given situation .

Subtracting 44 from both sides,

143-44 = 11x

99 = 11x

Dividing both sides by 11

x = 9

Therefore she shoveled 9 driveways on Sunday .

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2 years ago
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