1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
atroni [7]
4 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]4 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

You might be interested in
A line plot has a range of 4, from 1 to 5, with 5 modes. How would you describe the graph?
Mama L [17]
There is not enough Information.
7 0
3 years ago
Solve the equation by factoring: x2 − 7x + 12 = 0
Gnoma [55]

Answer:

x = 3 . . . or . . . x = 4

Step-by-step explanation:

The factored form is ...

(x -3)(x -4) = 0

The zero product rule tells you the solutions are the values of x that make the factors be zero:

x = 3

x = 4

_____

Comment on factoring

When the leading coefficient is 1, the coefficient of the x-term is the sum of the constants in the binomial factors, and the constant term is their product. You can see this by multiplying out the generic case:

(x +a)(x +b) = x^2 +(a+b)x + ab

What this means is that when you're factoring, you're looking for factors of the constant that add up to give the coefficient of the x-term. Here, the x-term is negative and the constant is positive, so both factors will be negative.

12 = -1×-12 = -2×-6 = -3×-4

The sums of these factor pairs are -13, -8, -7. Clearly, the last pair of factors of 12 will be useful to us, since that sum is -7. So, the binomial factors of our equation are ...

(x -3)(x -4) = 0

___

If the leading coefficient is not zero, the method of factoring is similar, but slightly different. Numerous videos and web sites discuss the method(s).

7 0
3 years ago
Mark bought refreshments. Sandwiches were 2.50 each and bottles of water were $1.25 each. He spent $356.25 on a total of 180 ite
Over [174]
First you have to write the equation. in the scenario, use standard form.
Ax+By=C
plug the numbers in. A=2.50, B=1.25, and C is the total, 356.25. the 180 doesn't come in quite yet.
your equation is 2.50x+1.25y=356.25. now, since they only bought 180 items, you can't go past that.

I am sorry, but I am about to leave for school, and therefore do not have enough time to answer the last of your question. I hope the part I could answer has helped you.
7 0
3 years ago
**MARKING BRAINLIEST PLEASE HELP**
Aleonysh [2.5K]

Answer:

whats the question

Step-by-step explanation:

8 0
3 years ago
Sayyida has a circular garden of radius 21m. She ran round the garden twice. what distance did she cover?​
yawa3891 [41]

answer

C = 263.76 m

Step-by-step explanation:

C = 2×pi×r

C = 2×3.14×21

C = 131.88 m

For 2 rounds,

C = 131.88 x 2

C = 263.76 m

7 0
3 years ago
Other questions:
  • PLEASE HELP I WILL GIVE YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • PLEASE HELP ASAP! A mountain climber is at an altitude of 2.9 mi above the earth’s surface.
    5·1 answer
  • Simplify -3p - 2m + 8p - 7m
    5·1 answer
  • What number represents thr same amount as 3 hundreds + 4 tens + 16 ones
    9·2 answers
  • Solve for x √2x=4√5<br> A. X=5√2<br> B. X=8√5<br> C. X=10<br> D. X=40
    5·1 answer
  • Can anyone help me with this answer:
    14·1 answer
  • I need help only on number 3
    8·1 answer
  • Which of the following statements are correct? Select ALL that apply!
    9·1 answer
  • State the slope. Interpret the slope. What foes it mean in the context of this problem
    6·1 answer
  • PLZ HELP ME ASAP plz and thanks
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!