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
fiasKO [112]
3 years ago
14

The number of home runs scored by a certain team in one baseball game is a random variable with the distribution x 0 1 2 P(x) 0.

4 0.4 0.2 The team plays 2 games. The number of home runs scored in one game is independent of the number of home runs in the other game. Let Y be the total number of home runs. Find E(Y ) and Var(Y ).
Mathematics
1 answer:
DanielleElmas [232]3 years ago
5 0

Answer: E(Y) = 1.6 and Var(Y)=1.12

Step-by-step explanation:

Since we have given that

X       0        1       2

P(X)   0.4   0.4    0.2

Here, number of games = 2

So, Y=X_1+X_2

Since X_1\ and\ X_2 are independent variables.

so, E[Y]=2E[X]\\\\Var[Y]=2Var[X]

So, we get that

E(X)=0.4\times 0+0.4\times 1+0.2\times 2=0.8\\\\and Var[x]=E[x^2]-(E[x])^2\\\\E[x^2]=0\times 0.4+1\times 0.4+4\times 0.2=1.2\\\\So, Var[x]=1.2-(0.8)^2\\\\Var[x]=1.2-0.64=0.56

So, E[y]=2×0.8=1.6

and Var[y]=2×0.56=1.12

Hence, E(Y) = 1.6 and Var(Y)=1.12

You might be interested in
Simplify expression<br>9-18÷3+7​
m_a_m_a [10]

Answer: 10

18 divide by 3 is 6 because you always divide first is this case

9-6+7 now solve straight across

9 minus 6 is 3 plus 7 is 10

Step-by-step explanation: Also

You are beautiful. You are amazing. You are wonderful. You are perfect just the way you are. Never worry about the way people think about you. Only worry if you like you. You are the most important person to yourself. Just be yourself. No can tell you who you can be. You are truly perfect just the way you are. Never tell yourself you are not good enough, you are enough. Never tell yourself "I'm ugly" you are beautiful. Never let yourself down.

3 0
3 years ago
Read 2 more answers
Which graph represents the solution set of the inequality x+2≥ 6?
daser333 [38]
The x intercept would be on (-2,0)
6 0
2 years ago
Read 2 more answers
Find the slope of the line and the y intercept described by x-2y=-6
PtichkaEL [24]

Answer:

The slope is -6 and the y intercept is 0

6 0
3 years ago
In the drawing what is the measure of angle y
KiRa [710]

Answer:

100

Step-by-step explanation:

P.s. solved it roughly

5 0
3 years ago
Read 2 more answers
Please help with this question, thanks!
sweet [91]

The first box would be 2 and the second box would be 11.

49-65=2(3-11)

-16=2(-8)

-16= -16


4 0
3 years ago
Other questions:
  • Given m∠D = 70°, m∠E = 42, and m∠EHG = 68°, prove DF is parallel to GH.
    13·1 answer
  • Question 9
    14·1 answer
  • Is this graph a function?
    6·1 answer
  • A student performed the following steps to find the solution to the equation x^2+14x+40=0 where did the student go wrong
    15·2 answers
  • Vincent earns $546 on Monday and he earns $352 on Tuesday. How much total money does Vincent earn?
    14·2 answers
  • Please I need help in this question, Best answer gets BRAINLIEST
    6·1 answer
  • 48 is 9 less than 3 times a number. What is the number?
    6·2 answers
  • What is the largest two-digit number that is a multiple of 5 and 10 at the same time?
    8·1 answer
  • Consider the data set
    10·1 answer
  • Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!