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
frez [133]
3 years ago
12

Simulate the rolling of two dice 10,000 times. (b) Identify which rolls of the dice are in the event A, the dice add up to a per

fect square (4 or 9). Determine what proportion of the 10,000 rolls are in A. (c) Identify which rolls of the dice are in the event B, the dice add up to an even number. Determine what proportion of the 10,000 rolls are in B. (d) Find out which rolls are in A ∩ B. Find the proportion that are in A ∩ B. How does that compare to the proportion in A multiplied by the proportion that are in B?
Mathematics
1 answer:
dexar [7]3 years ago
4 0

Answer:

Answer explained below

Step-by-step explanation:

(a)

Simulate the rolling of two dice 10,000 times D1 and D2 are the 10,000 results of roll of dice 1 and dice 2.

D1 = sample(c(1:6), 10000, replace = TRUE)

D2 = sample(c(1:6), 10000, replace = TRUE)

Sum = D1 + D2

(b)

The event A, the dice add up to a perfect square (4 or 9).

A = Sum[Sum == 4 | Sum ==9]

Proportion of A, P(A) = 0.189

length(A) / length(Sum)

(c)

The event B, the dice add up to an even number.

B = Sum[Sum %% 2 == 0]

Proportion of B, P(B) = 0.5049

length(B) / length(Sum)

(d)

The  rolls are in A ∩ B (common to both A and B)

> intersect(A,B)

[1] 4

The proportion that are in A ∩ B is 0.0792

length(Sum[Sum == 4]) / length(Sum)

P(A) * P(B) = 0.189 * 0.5049 = 0.0954

The proportion in A multiplied by the proportion that are in B is not equal to P(A ∩ B)

(e)

Of the rolls in which B occurs, the proportion of those rolls are also in A is 0.4190476

length(Sum[Sum == 4]) / length(A)

This proportion is greater than the P(A) calculated in part (b).

You might be interested in
The value of n is both 5 times as much as the value of m and 36 more than the value of m. What are the values of n and m? Explai
Anvisha [2.4K]
I think the answer is 36 times 5 which equals 180. Hope this helps!!
5 0
3 years ago
What is the range of the following function?
ankoles [38]

Answer:

  -4 ≤ y < ∞

Step-by-step explanation:

The graph shows the range (vertical extent) has a minimum value of -4, and includes all y-values greater than or equal to that value.

In interval notation, the range is [-4, ∞).

4 0
3 years ago
The data set represents the total number of people who bought bananas each hour at a grocery store 1,1,5,5,7,8,8,10,12
Virty [35]
I think that it might be 9
5 0
3 years ago
Evaluate the expression below for m=350. 3.5m
aev [14]
Just plug in 350 for 'm':

\sf 3.5m

\sf 3.5(350)

Multiply:

\boxed{\sf 1225}
7 0
3 years ago
write an equation to represent the relationship, and find the amount of peanut butter used to make 25 cracker packages. the tabl
Nadusha1986 [10]

We are given 4 points.

(\frac{1}{2},2)

(\frac{5}{8},\frac{5}{2})

(\frac{3}{4},3)

(\frac{7}{8},\frac{7}{2})

Using this, we can make an equation.

y=4x

I got m=4 by using the slope formula.

m=\frac{2.5-2}{0.625-0.5}

m=\frac{0.5}{0.125}

m=4

So the equation we have is y=4x

Now, we can solve for how much peanut butter is used to make 25 packages by plugging in 25 for y, which is the number of cracker packages.

25=4x

x=\frac{25}{4}

We need to use \frac{25}{4} teaspoons of peanut butter to make 25 packages of crackers.

Hope this helps.

頑張って!

4 0
3 years ago
Other questions:
  • Can someone please help me
    11·1 answer
  • Select the reason why these triangles are
    15·1 answer
  • Can someone please help me with these questions
    10·2 answers
  • Whoever answers this question correctly will get a 5.0 rating, thanks, and a brainlyist.
    9·1 answer
  • Two points from the line of best fit can be used to find the slope of the line, which can be used to find the equation of the li
    13·1 answer
  • How to do 1.36 divided by 0.08
    7·2 answers
  • Can someone please help me? I will mark brainliest. Random answers will be reported
    15·1 answer
  • This is for algebra 1
    13·2 answers
  • Steven earns extra money babysitting. He charges $31.25 for 5 hours and $50 for 8 hours.Explain why the relationship between how
    14·1 answer
  • Find the value of x and FG based on the diagram
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!