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nevsk [136]
3 years ago
7

These data can be approximated quite well by a N(3.4, 3.1) model. Economists become alarmed when productivity decreases. Accordi

ng to the normal model what is the probability that the percent change in worker output per hour from the previous quarter is more than 0.5 standard deviations below the mean?
Mathematics
1 answer:
Ganezh [65]3 years ago
3 0

Answer:

0.6915 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

N(3.4, 3.1)

Mean, μ = 3.4

Standard Deviation, σ = 3.1

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to evaluate:

P(x > \mu-0.5(\sigma)\\P(x > 3.4-0.5(3.1))\\P(x> 1.85)

Evaluation of probability:

P( x > 1.85) = P( z > \displaystyle\frac{1.85 - 3.4}{3.1}) = P(z >-0.5)

= 1 - P(z \leq -0.5)

Calculation the value from standard normal z table, we have,  

P(x > 1.85) = 1 - 0.3085=0.6915 = 69.15\%

0.6915 is the probability that the percent change in worker output per hour from the previous quarter is more than 0.5 standard deviations below the mean.

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noname [10]
There really is no single "obvious" choice here...

Possibly the sequence is periodic, with seven copies of -1 followed by six copies of 0, or perhaps seven -1s and seven 0s. Or maybe seven -1s, followed by six 0s, then five 1s, and so on, but after a certain point it would seem we have to have negative copies of a number, which is meaningless.

Or maybe it's not periodic, and every seventh value in the sequence is incremented by 1? Who knows?

I'll go ahead and assume the latter case, that the sequence is not periodic, since that's technically somewhat easier to manage. We can assign the following rule to the n-th term in the sequence:

\{a_n\}=\{-1,\ldots,-1,0,\ldots,0,1,\ldots,1,2,\ldots,2,3,\ldots\}
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G(a_n;x)=\displaystyle\sum_{n\ge0}\left(\left\lfloor\frac n7\right\rfloor-1\right)x^n

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3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
Solve the equation:<br><br> x3−20=−15
stich3 [128]

Answer:

x = 1.71

Step-by-step explanation:

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Sunny_sXe [5.5K]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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