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atroni [7]
3 years ago
6

Each of 165 newly manufactured items is examined and the number of scratches per item is recorded (the items are supposed to be

free of scratches), yielding the following data:Let X = the number of scratches on a randomly chosen item, and assume that X has a Poisson distribution with parameter ?.Number ofscratchesper item 0 1 2 3 4 5 6 7Observedfrequency 25 34 37 29 19 8 8 5(a) Find an unbiased estimator of ? and compute the estimate for the data. [Hint: E(X) = ? for X Poisson, soE(X) = ?](Round your answer to two decimal places.)(b) What is the standard deviation (standard error) of your estimator? Compute the estimated standard error. [Hint: ?X2 = ? for X Poisson.] (Round your answer to three decimal places.)
Mathematics
1 answer:
denpristay [2]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that each of 165 newly manufactured items is examined and the number of scratches per item is recorded (the items are supposed to be free of scratches), yielding the following data

x freq x*f x^2*f

   

0 25 0 0

1 34 34 34

2 37 74 148

3 29 87 261

4 19 76 304

5 8 40 200

6 8 48 288

7 5 35 245

   

165 394 1480

Mean 2.387878788 8.96969697

Variance 3.267731864  

We get E(x) = 2.388 and hence unbiased estimator of mu is 2.388

b) Variance = 3.268

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shutvik [7]

Answer:

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Step-by-step explanation:

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The slope is found by the formula

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   = 5/15

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The slope is 1/3

The y intercept is found when x=0

When x=0  y=5

The slope intercept form of the line is

y=mx+b  where m is the slope and b is the y intercept

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3 years ago
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The midpoint of GH are M(4,3) and D(5,-6). The coordinates of the endpoint are?
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Answer:

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3 years ago
PHYSICS As a ray of light meets a mirror, the light
Lady bird [3.3K]
<h3>Answer:  37 degrees</h3>

========================================================

Explanation:

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So angle RMI = 106 is bisected, i.e. divided in half, to get

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Then notice that the horizontal dashed line is perpendicular to the vertical mirror. This means angle NMJ is a 90 degree angle and,

angle RMJ = (angle NMJ) - (angle RMN)

angle RMJ = 90 - 53

angle RMJ = 37 degrees

----------

In short: divide 106 in half to get 53, then subtract it from 90

5 0
2 years ago
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Step-by-step explanation:

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