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
bulgar [2K]
3 years ago
13

Suppose that Y takes on the values {0, 1, 2, 3}, each with probability 1/4. Take a random sample of 5 numbers from this distribu

tion. In how many possible samples can the sum of the five numbers (Y1 + Y2 + Y3 + Y4 + Y5) equal to 1? [Give the number of samples, not the proportion of possible samples]
Mathematics
1 answer:
arsen [322]3 years ago
8 0

Answer:

The total number of samples that give this outcome is 5.

Step-by-step explanation:

Since Y takes values in {0,1,2,3}, For us to have that Y_1+Y_2+Y_3+Y_4+Y_5=1 implies that all of them are zero but one. The one that is non-zero necessarily is equal to 1. To calculate the number of samples that give this outcome is equivalent to counting the total number of ways in which we can pick the i-index such that Y_i=1. Note that in this case we can either choose Y1 to be 1, Y2 to be 1 and so on. So, the total number of samples that give this outcome is 5.

You might be interested in
Evaluate (x + y)for x= -3 and y= 5.<br> A.-1/2<br> B.0<br> C.1<br> D.2
bazaltina [42]
It’s D
Proof:
(-3 + 5 = 2)
7 0
3 years ago
Read 2 more answers
Solve this system of equations using substitution. Put your answer in ordered pair form, (x,y).
Gelneren [198K]
2x + 5y = 2
-3x - y =-3

-3x - y = -3
y = 3x - 3

substitute y = 3x - 3 into the first equation.

2x + 5y = 2
2x + 5(3x - 3) = 2
2x + 15x - 15 = 2
17x - 15 = 2

solve for x in 17x - 15 = 2

17x - 15 = 2
17x = 2 + 15
17x = 17
x = 1

substitute x = 1 into y = 3x - 3

y = 3x - 3
y = 3(1) - 3
y = 3 - 3
y = 0

(1, 0) << the answer

hope this helped, God bless!
8 0
3 years ago
The mass of Earth is 5.97 X 10²⁴ kilograms. The mass of the Moon is 7.34 x 10²² kilograms. What is the combined mass of earth.
Damm [24]

Answer:

13.31 x 10^{46}

Step-by-step explanation:

So, if we take the two equations, and add the normal numbers together, we have: 5.97 + 7.34 = 13.31

Then if we add the two tens together it would be: 10^2^2 + 10^{24 = 10 to the power of 46.

The equation would be 13.31 x 10^{46}

I'm not an expert, so sorry if this is wrong.

6 0
3 years ago
Read 2 more answers
0.7 , 2/3 , 5/8 , 65% in least to greatest
egoroff_w [7]

Answer:

65%,0.7,2/3,5/8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The area of a rectangle is 99 square units. Its width measures 9 units. Find the length of its diagonal. Round to the nearest te
mariarad [96]

Answer:

14.21 units (14.2)

Step-by-step explanation:

Formula for area is W(L) or width multiplied by length.

The formula for finding the length of a rectangle's diagonal is :

d = \sqrt{w^{2}+l^{2}  }

Now we solve for d.

d = \sqrt{w^{2} + (\frac{A}{W})^{2}

= \sqrt{9^{2} + (\frac{99}{9})^{2}

≈ 14. 21267

≈ 14.2

Please mark branliest thanks!

4 0
3 years ago
Other questions:
  • Mt.Whitney in California is 14,492 feet tall. Mt. McKinley in Alaska is 5,826 feet taller than Mt.Whitney. How tall is Mt.Mckinl
    9·1 answer
  • PICTURE ISSSS SHOWN...
    6·1 answer
  • Please help me with this
    14·2 answers
  • A family spends 1⁄10 of its annual income for housing, 1⁄4 for food and clothing, 1⁄5 for general expenses, and 2⁄15 for enterta
    5·1 answer
  • How do you write 1 trillion in expanded form?
    14·1 answer
  • What is 4 to the z power
    11·1 answer
  • What is the measure of m
    5·1 answer
  • What are the coordinates of Point X?<br> A. (3, –4)<br> B. (–3, –4)<br> C. (4, –3)<br> D. (4, 3)
    11·2 answers
  • Please help me with this MATH question.
    14·1 answer
  • Ten people each order one scoop of ice cream. They order 4 scoops of vanilla, 3 scoops of chocolate, 2 scoops of lemon, and 1 sc
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!