You are given 7 to 1 odds against rolling a sum of 6 with the roll of two fair dice, meaning you win $7 if you succeed and you lose $1 if you fail. Find the expected value (to you) of the game.

Answers

Answer 1
Answer:

Answer:

The expected value of the game is $0.33.

Step-by-step explanation:

There are N = 36 outcomes of rolling two 6-sided fair dice.

The sample for the sum of two numbers to be 7 is:

S = {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2) and (6, 1)}

n (S) = 6

It is provided that there is a 7 to 1 odds against rolling a sum of 6 with the roll of two fair dice.

That is, you win $7 if you succeed and you lose $1 if you fail.

Compute the expected value of the game as follows:

E(X)=\sum x\cdot P (X=x)

         =[\$(7)* (6)/(36)]+[\$(-1)* (30)/(36)]\n\n=(7)/(6)-(5)/(6)\n\n=(7-5)/(6)\n\n=(1)/(3)\n\n=\$0.33

Thus, the expected value of the game is $0.33.


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Help please as fast as you can

Select the correct answer.What is the current value of a future sum of money called?
А.
current value
B.
present value
С. .
future value

Answers

Answer:

b. present money

Step-by-step explanation:

the concept that States an amount of money today is worth more than that sum amount in the future. future money is not worth much then the amount received today.

Answer is B, Present Value

The perimeter of a rectangle is 38 units. The length is 13 units longer than the width. What are the dimensions of the rectangle?

Answers

Answer:

3 units ×16 units

Step-by-step explanation:

Please see the attached picture for full solution.

Answer:

Length = x+13=6+13=19units

Step-by-step explanation:

P = 2(l +w)

Let width be x

Length = x + 13

P = 38

38 = 2(x + 13 + x)

38 = 2(2x + 13)

38 = 2x + 26

2x = 38 - 26

2x = 12

x = 12/2

x = 6unit

Width = 6units

Length = x + 13 = 6+13 = 19units

Fourth term of sequence is 216, sixth term 96

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312 I think, hop[e this helps

Convert 100 inches per minute to feet per hour?

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100 inches per minute
There are 60 minutes per hour so
100 inches per minute equals
6,000 inches per hour
there are 12 inches per foot so that converts to
500 feet per hour



Help please asp. !!!

Answers

9514 1404 393

Answer:

  (d)  101,376 square inches

Step-by-step explanation:

At $5.50 each, Larry can afford ...

  $485/($5.50/board) ≈ 88.2 boards

Each of the 88 boards is 8 inches wide and 144 inches long, so the total area Larry can afford to cover is ...

  (88)×(8 in)(144 in) = 101,376 in²

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 36843684 grams and a standard deviation of 448448 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 43564356 grams. Round your answer to four decimal places.

Answers

Answer:

93.32% probability that the weight will be less than 4356 grams.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = (X - \mu)/(\sigma)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 3684, \sigma = 448

If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4356 grams.

This is the pvalue of Z when X = 4356. So

Z = (X - \mu)/(\sigma)

Z = (4356 - 3684)/(448)

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

93.32% probability that the weight will be less than 4356 grams.