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
eduard
3 years ago
13

In testing a certain kind of missile, target accuracy is measured by the average distance X at which the missile explodes. The d

istance X is measured in miles and the sampling distribution of X is given by:
X 0 10 50 100
P(X) 1/40 1?20 1/10 33/40

Calculate the variance of this sampling distribution.

Options:

a) 27.6
b) 5138.7
c) 761.0
d) 253.7
e) 88.0
f) None of the above

Mathematics
1 answer:
3241004551 [841]3 years ago
5 0

Answer:

The answer is c) 761.0

Step-by-step explanation:

Mathematical hope (also known as hope, expected value, population means or simply means) expresses the average value of a random phenomenon and is denoted as E (x). Hope is the sum of the product of the probability of each event by the value of that event. It is then defined as shown in the image, Where x is the value of the event, P the probability of its occurrence, "i" the period in which said event occurs and N the total number of periods or observations.

 The variance of a random variable provides an idea of the dispersion of the random variable with respect to its hope. It is then defined as shown in the image.

Then you first calculate E [x] and E [x^{2}], and then be able to calculate the variance.

E[x]=0*\frac{1}{40} +10*\frac{1}{20} +50*\frac{1}{10} +100*\frac{33}{40}

E[x]=0+\frac{1}{2} +5+\frac{165}{2}

E[X]=88

So <em>E[X]²=88²=7744</em>

On the other hand

E[x^{2} ]=0^{2} *\frac{1}{40} +10^{2} *\frac{1}{20} +50^{2} *\frac{1}{10} +100^{2} *\frac{33}{40}

E[x²]=0+5+250+8250

<em>E[x²]=8505 </em>

Then the variance will be:

Var[x]=8505-7744

<u><em>Var[x]=761 </em></u>

You might be interested in
-3p = -48<br> What does p equal
Rina8888 [55]

Answer:

p=16

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Abigail is redecorating a master bathroom. The legend on the blueprint shows at 3 cm equals 9 m. What is the scale factor?
zaharov [31]
300:1. A meter is 100 cm, so 9 meters is 900 cm / 3 = 300.
3 0
2 years ago
A machine paints 340 toy boats in 45 minutes.which expression equals the unit rate per hour.
-Dominant- [34]
So what you need to do is put 340 over 45 min in a fraction form then you need to turn the 45min into 1 min and divide 340 by 45 and then you would get the answer
8 0
3 years ago
Connect them plz and ty
SashulF [63]

Answer:

I am truly sorry if any of these answers are incorrect, I am here to help and I will do my best!

Step-by-step explanation:

A clock that uses hands to tell time is less precise than a clock that uses numbers.

A signal stored on a vinyl record is less easily copied than a signal stored in a computer.

A signal that is continuously varying is less reliable than a signal with limited possible values.

A signal transmitted by the human voice loses more energy as it travels than a signal transmitted by a fiberoptic cable.

Hope this helps! :)

If so, Brainliest would be nice... But it is ok if not :)      

5 0
3 years ago
Which of the following is the ratio of 5 cm to 10 km​
pshichka [43]

Answer:

1/200000

Step-by-step explanation:

first 10 km equals to 1000000cm

so 5/1000000cm

equals to 1/200000

3 0
2 years ago
Other questions:
  • Please help me with this thanks :)
    10·1 answer
  • (x+7)/(x^2-49) find the domain. show work
    15·1 answer
  • A 1,349 tv is on sale for 20% off. If sales tax is 8%, find the price of the tv including tax
    11·1 answer
  • Please help
    13·1 answer
  • A pair of jeans is discounted for 30% off. What if the original price is $31.50, what is the discount?
    9·2 answers
  • .04 is 1/10 of what number ?
    13·2 answers
  • Please answer the question down below
    15·1 answer
  • Maths help please!!!!!!!!!!!
    13·1 answer
  • 3y+ 2x = 12<br>y=x-1<br><br>What is x and y quick! ​
    8·1 answer
  • The width of the rectangle is 50% of its length. What is the area of the rectangle?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!