Adult tickets to a play cost $22. Tickets for children cost $15. Tickets for a group of 11 people cost $228. Write and solve a s
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Answer:
The expected value of the points earned on a single roll in this game is .
Step-by-step explanation:
We are given that consider 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.
Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).
Here, the prime numbers are = 1, 2, 3 and 5
Numbers which are not prime = 4 and 6
This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.
Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.
Note that the probability of getting any of the specific number on the dice is .
Numbers on the dice (X) P(X)
+1
+2
+3
-4
+5
-6
Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.
Now, the expected value of X, E(X) =
=
=
=
=
Hence, the expected value of the points earned on a single roll in this game is .
Complete question
<em>18. GOLF Luis and three friends went golfing. Two of the friends rented clubs for $6 each. The total cost of the rented </em>
<em>clubs and the green fees for each person was $76. What was the cost of the green fees for each person? Define a </em>
<em>variable, write an equation, and solve the problem.</em>
The variable defined is "y", the equation is 4y + 2(6) = 76 and the value of the unknown variable is 16
Let the cost of green fees per person be y
If Luis and three friends went golfing, this means that 4 people went golfing. The total cost of green fees for all of them will be $4y
If two of the friends rented clubs for $6 each, total amount spent will be $2(6)
The equation that models the statement will then be expressed as;
Solve for y
The variable defined is "y", the equation is 4y + 2(6) = 76 and the value of the unknown variable is 16.
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