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
Andrew [12]
3 years ago
7

cConsider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,

that many points will be added to the player’s total. Any other roll will be deducted from the player’s total. What is the expected value of the points earned on a single roll in this game?
Mathematics
2 answers:
quester [9]3 years ago
4 0
Expected value = -1(1/6) + 2(1/6) + 3(1/6) - 4(1/6) + 5(1/6) - 6(1/6) = -1/6 + 2/6 + 3/6 - 4/6 + 5/6 - 6/6 = -1/6 = -0.167
Ira Lisetskai [31]3 years ago
4 0

Answer:

E(X) = 1/6

Step-by-step explanation:

Given:-

- A numbered cube is rolled.

+ Points : Prime Number

- Points : Any other number.

Find:-

What is the expected value of the points earned on a single roll in this game?

Solution:-

- We will denote a random variable (X) that represents the number of points in a game. We have 6 faces with (1 , 2 , 3 , 5) as prime numbers ( + Points ). Where numbers ( 4 & 6 ) will denote the ( - Points ).

- We will express the random variable (X) in probability distribution table. The probability of getting any number on the cube is equal to (1/6). The distribution table is as follows:

          X        -6           -4             1            2           3            5

      P(X)        1/6         1/6           1/6         1/6        1/6          1/6

- The expected value for the random variable E(X) can be determined by the following formula:

                    E(X) = Sum ( Xi*P(X) )

Where,   i : Term number from table:

                    E(X) = (-6)*(1/6) + (-4)*(1/6) + (1)*(1/6) + (2)*(1/6) + (3)*(1/6) + (5)*(1/6)

                    E(X) = (1/6)* ( -6 -4 + 1 + 2 + 3 + 5 )

                    E(X) = ( 1 / 6 ) * ( 1 )

                    E(X) = 1/6

- The expected value of points earned per single roll in this game is 1/6

You might be interested in
Which function is greater for<br> x &lt; 2 (for all x values less than 2) ?
kodGreya [7K]

Answer:

Function 1

Step-by-step explanation:

8 0
3 years ago
Alejandro rounded the number 76.518 to 76.5. Jiro rounded the same number to 76.52. Who is correct? Explain your reasoning
sergeinik [125]
Alejandro is correct because you do not need to add another number to 76.518, as Jiro did, but you need to round it to the nearest tenth.

Glad I could help, and good luck!

4 0
3 years ago
Read 2 more answers
Your neighbor had to drop the selling price of her home from $180,000 to $165,000. What percent did the price get lowered? Round
Vikki [24]
You could do 165,000 divided by 180,000. This is 165000/180000, and that will give you the percentage that 165000 is of 180000 in decimal form, which is 0.9167.
Then we round to the nearest tenth, which is 0.92
0.92 as a percentage is 92%.
100% - 92% = 8%
The price of the home dropped by 8%.
8 0
3 years ago
Solve step by step! Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Colt1911 [192]

Answer:

X is an acute angle, which means it is less than 90*, so it is probably 45*

Step-by-step explanation:

I was confused at first but then, I’m just like, I can solve this!

3 0
2 years ago
Read 2 more answers
What is the mean weight ___ pounds ?
natulia [17]
It is 84 ibs
Explanation
It’s actually easy if you learn 5 minutes of it
But thats the correct answer
8 0
3 years ago
Other questions:
  • A baseball camp is held to cmplex that has 6 baseball diamonds.The coaches would like each diamond to have the same number of ca
    12·1 answer
  • The profit earned by a hot dog stand is a linear funsion of the number of hot dogs sold.It cost the owner $48 dollars each morni
    9·1 answer
  • How are the sin 30° and the cos 60° related? Explain using complete sentences.
    15·1 answer
  • A painter can paint 360 square feet in 1.5 hours. What is the painter rate in square feet per hour
    10·1 answer
  • Express tan J as a fraction in simplest form
    14·1 answer
  • Help pls and thank you :)
    5·2 answers
  • pablo drove 240 mies using 9 gallons of gas. At this rate how many gallons of gas would he need to drive 216 miles?
    6·1 answer
  • When you have two shapes to compare on a coordinate plane, you can determine the scale factor, knowing that the transformation w
    6·1 answer
  • How do I solve these? Please give an explanation!!
    11·1 answer
  • Help me plsssssssss its easy and show work please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!