Consider a game in which a player rolls a number cube to determine the number of points earned. If a player rolls a number greater than or equal to 4, the number of the roll is added to the total points. Any other roll is deducted from the player’s total. What is the expected value of the points earned on a single roll in this game?

Answers

Answer 1

Answer: $E_(roll)= \sum_(i=1)^(n) (x_i)(p_i)$
$E_(roll)= ((-1)((1)/(6)))+((-2)((1)/(6)))+((-3)((1)/(6)))+((4)((1)/(6)))+((5)((1)/(6)))+((6)((1)/(6)))$
$E_(roll)= ((-1)/(6))+((-1)/(3))+((-1)/(2))+((2)/(3))+((5)/(6))+(1)((6)((1)/(6)))$
$E_(roll)= (3)/(2)$

Related Questions

STEP 1Choose at least 4 of the following constructions to use on your Wrapping Paper Design:• A bisected angle• A perpendicular line drawn from a point not on a line to a line• A perpendicular line drawn through a given point on a given line• A quadrilateral with at least one pair of parallel lines• A segment bisected by a perpendicular line, ray, or segment• An equilateral triangle• Two congruent triangles• Two congruent segments• Two parallel lines, one of which is drawn through a given pointPerform these constructions on a sheet of paper leaving all marks used in the construction. STEP 2Write down the instructions for the 4 chosen constructions, in your own words. Give these instructions to another person to recreate the constructions. Adjust your instructions as needed to make sure they are clear and precise. (Take notes, this will be included in your reflection summary).STEP 3Combine your constructions to make a pattern or design for your Wrapping Paper. You will do this on a standard sheet of paper. Be creative, but make sure to include all 4 of your constructions. Make sure to number your constructions and create a key describing each element. STEP 4Write a paragraph reflecting on any difficulties you encountered creating your design, the key, or writing your construction instructions.
Help !! Please I can’t find the answer
Help pleaseif we have100 applesand jim eats20and kellie eats5what is the eqation to solve
HELP ME HELP ME HELP ME
A dartboard has a diameter of 12 inches. What are its radius and circumference? Round to the nearest hundredth. Use 3.14 for π. The radius is inches. The circumference is approximately inches.

Round 71290 to the nearest 10 what's the answer?

Answers

71290 because the ones are 0 and zero is lower than 5
so it wouldn't add anything to the tens

the rule is if the number is more than 5+ it will add 1 to the next number
for example if we have this number 189 and we want to round it to the nearest 10 ..
we will see the ones place is it more than 5+ ? YEAH bcz its 9 ...
so 9 will add one to the tense and the answer will be 190 :)

hope you got the point .

List 3 values that would make this inequality true.

Answers

10, 20, and 30. Hope this helped :0

I think 5, 10, and 15 might work, but 10, 20, and 30 do for sure.

"The quotient of a number and four decreased by ten is two. What is the number?" im confused. can someone help?

Answers

this is how to answer it
x/4-10=2

9) In one year, Angie's height went from 58 to 60 inches. What was the percentage increase in Angie's height? (Round to the nearest percentage)

Answers

The percentage increase in Angie's height is 3 %

Solution:

Given that, In one year, Angie's height went from 58 to 60 inches

To find: percentage increase

The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.

The percent increase is given as:

$\text { percent increase }=\frac{\text { final value - initial value}}{\text { initial value }} * 100$

Here in this problem,

Initial value = 58 inches

Final value = 60 inches

Substituting the values we get,

$percent\ Increase = (60-58)/(58) * 100\n\npercent\ Increase = (2)/(58) * 100\n\npercent\ Increase = 0.0344 * 100\n\npercent\ Increase = 3.45 \approx 3$

Thus percentage increase in Angie's height is 3 %

Angie score 91 points on a test Mom I received a 65% grade on the test how many points are possible on the test

Answers

I am guessing that the 91 points are the 65%. I do not completely understand the question but this is my best analysis. So from my perception of the question is that the 91 points are equal 65%. This equation is just saying:
91 = 0.65x
So all you have to do is divide each side by 0.65:
x=140.
The number of points possible on the test is 140. Have a splendid day. ;)

(here is the process I did)

91=0.65x
Step 1: Flip the equation.
0.65x=91

Step 2: Divide both sides by 0.65.
0.65x/0.65 = 91/0.65x = 140

Answer: x = 140

Here is a list of numbers. 17 21 14 17 12 15 what is the mean