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
Tools return to our hardware store as damaged or resold has damaged at a reduced price 32% of the original price of $164.95. wha
Alina [70]

Answer:

$112.17

164.95 * 0.32 = 52.784

164.95 - 52. 784 = 112.166

112.166 = 112.17

5 0
3 years ago
Read 2 more answers
Which decimal number is 17/21 equal to?
exis [7]

It is equal to 0.8 five star please?

8 0
3 years ago
Read 2 more answers
Can someone help me?
tekilochka [14]
Check the picture below.

make sure your calculator is in Degree mode.

5 0
3 years ago
if the temperature dcreases by a constant rate of 3 degrees celcius each minute what will the temperature cecius after 5 minute
kozerog [31]

Answer:

i realy dont known dude haaaaaaaahaaahahahah

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Least common multipul
Otrada [13]

ANSWER:

From 2 to 10=

Explanation:

2/2/10

5/1/5

/1/1

6 0
2 years ago
Other questions:
  • What is the volume of a cylinder tgat gas tge sane vase and height as the cone?
    13·1 answer
  • Find the sum of the first 6 terms of geometric series 2-10+50+.....
    14·1 answer
  • Solve equation <br> -143 = 1+8(3 – 3b)
    8·2 answers
  • CAN SOMEONE HELP ME ON NUMBER 8 PLS , ASAP YOU’LL GET BRAINLEST
    13·1 answer
  • Graph x+3y = 6.<br> Please help
    6·1 answer
  • Find the area of the shape below
    11·1 answer
  • Plsss help explain I have an exam later and I need to understand this
    15·1 answer
  • What is 1+1+1+1+1? (whoever answers correctly gets brainliest)
    6·2 answers
  • Please Help I Don't Understand
    14·1 answer
  • Pls help asap............
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!