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
Nata [24]
3 years ago
13

Let X be a random variable that is equal to the number of times a 5 is rolled in three rolls of a fair 5-sided die with the inte

gers 1 through 5 on the sides. What is E[X2 ]? What is E2 [X], that is, (E[X])2 ? Justify your answers briefly.
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
7 0

Answer:

Step-by-step explanation:

Note: If you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

Firstly we will make PMF

For X=0, P=(4/5)^3=64/125

For X=1, P=C(3,1)*(1/5)*(4/5)^2=3*16/125=48/125

For X=2, P=C(3,2)*(1/5)^2*(4/5)=3*4/125=12/125

For X=3, P=C(3,3)*(1/5)^3=1/125

So,

E[X^2]=1*48/125+2^2*(12/125)+3^2/125=0.84

E[X]=48/125+12/125*2+1/125*3=0.6

So,

E[X]^2=0.36

You might be interested in
Can someone help out ??
kupik [55]

Answer:

120 cubes

Step-by-step explanation:

Find the volume of the prism and then divide it by the volume of one cube (which is 1/27 cm):

V = length*width*height = (5/3 cm)(4/3 cm)(2 cm) = 40/9 cm³.

Dividing this result by 1/27 yields

40       27         40*3    

------ * ------ = -------------- = 120

  9        1               1

120 cubes (answer)

7 0
3 years ago
-2^x+3=-3^-x-2 solve for x
Sindrei [870]

Answer:

x = 2.34373881

There you go

8 0
3 years ago
A spinner numbered 1 through 12 is spun. Find the probability that
anastassius [24]

Answer:

\dfrac{1}{6}

Step-by-step explanation:

Let <em>A</em> be the event of getting an odd number.

<em>P(A)</em> be the probability of getting an odd number.

Total odd numbers here are 6 i.e. \{1,3,5,7,9,11\}

Here, total numbers in the game are 12 i.e \{1,2,3,....,12\}.

Formula for probability of an <em>event E</em> can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}

Let <em>B</em> be the event of getting 11.

<em>P(B)</em> be the probability of getting 11.

Total number of possible cases is 1.

P(B) = \dfrac{1}{12}

P(A \cap B) is the probability that we get 11 and an odd number.

Possible number of cases = 1

P(A\cap B) = \dfrac{1}{12}

<em>P(B/A)</em> is the probability that we get an 11 given that it is an odd number.

P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}

Hence, P(B/A) = \dfrac{1}{6}

4 0
3 years ago
Read 2 more answers
Julianne earned $296 working at a grocery store last week. She earned $8 per hour. How many hours did Julianne work?
hram777 [196]
37 hours
You divide 296 by 8 and then you get your answer


4 0
3 years ago
Read 2 more answers
Zelmas friend told her that she could earn $54 for cleaning up after a birthday party. Zelma wants to calculate the hourly rate
Alik [6]
Nothing it can be the
5 0
3 years ago
Read 2 more answers
Other questions:
  • 8,24,,48,72 What is the pattern
    6·1 answer
  • Determine the displacement of end A with respect to end D if the diameters of each segment are dAB = 0.85 in ., dBC = 1.1 in .,
    15·1 answer
  • I do not know #5 plz help
    11·1 answer
  • Emily owns 10.2 shares of stock in a company. On Friday, the stock dropped by $1.35/share. What was the total change in value of
    8·1 answer
  • If you could only plot 5 points to graph y=sinx, which points would you choose? How would you connect these points? Please expla
    15·1 answer
  • I NEED AN ANSWER NOW!!! This is passed due!!! Dhruv is a car salesman. He is paid a salary of $2,200 per month, plus $500 for ea
    9·1 answer
  • Please help quick will give brainliest!
    8·1 answer
  • (2m - 5m^3 ) - (5m + 3m^3- 7m^4 ) + (8 - 3m^3- 5m^4+ 4m)
    10·2 answers
  • How do you use the distributive property to simplify an algebraic<br> expression?
    15·1 answer
  • Fill in the blank for this graph.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!