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
Tju [1.3M]
3 years ago
15

Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on

e chip has number 3 and rest is in pic

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
5 0

Answer:

a.  Table completed

b.  E(X) = -0.5

c.  Miguel loses $0.5 each time he plays

Step-by-step explanation:

a.  The total outcomes S = {11, 13, 15, 13, 15, 35}

Let A be the event he wins $2 and B be the even he loses $1.

Then, A ={11} and

B = {13, 15, 13, 15, 35}

p(A) = \frac{n(A)}{n(S)} =\frac{1}{6}

p(B) = \frac{n(B)}{n(S)} =\frac{5}{6}

Then, the table would be as follows:

X_{i}            2    -1

p(X_{i})        \frac{1}{6}     \frac{5}{6}


b.  E(X) = X_{1}p(X_{1})+X_{2}p(X_{2})

=2(\frac{1}{6} )+(-1)(\frac{5}{6} )

=\frac{2}{6} -\frac{5}{6}

=\frac{2-5}{6}

=-\frac{3}{6}

=-\frac{1}{2}


c.  Based on the result (b), Miguel loses $0.5 each time he plays

swiftyhanban
2 years ago
thank you for explaining!
Blababa [14]3 years ago
3 0

To check all the events (6), we label the chips. Suppose one chip with 1 is labeled R1 and the other B1 (as if they were red and blue). Now, lets take all combinations; for the first chip, we have 4 choices and for the 2nd chip we have 3 remaining choices. Thus there are 12 combinations. Since we dont care about the order, there are only 6 combinations since for example R1, 3 is the same as 3, R1 for us.

The combinations are: (R1, B1), (R1, 3), (R1, 5), (B1, 3), (B1, 5), (3,5)

We have that in 1 out of the 6 events, Miguel wins 2$ and in five out of the 6 events, he loses one. The expected value of this bet is: 1/6*2+5/6*(-1)=-3/6=-0.5$. In general, the expected value of the bet is the sum of taking the probabilities of the outcome multiplied by the outcome; here, there is a 1/6 probability of getting the same 2 chips and so on. On average, Miguel loses half a dollar every time he plays.

You might be interested in
Carol opened 20 different bags of the same kind of candy and recorded the colors and their frequencies, as shown in the table.
Alina [70]
It is 14% as you add up all of the numbers and divide 10 by that number and finally multiply by 100 for a percent
7 0
3 years ago
Read 2 more answers
What is the relationship between 0.04 and 0.004
podryga [215]
0.004 is one tenth of 0.04 or 0.04 is ten times 0.004
3 0
3 years ago
Read 2 more answers
Determine the value of x in the diagram
Sidana [21]

Answer:

3x + x + 3x + x = 360

8x = 360

x = 45

3(45)= 135

Step-by-step explanation:

3 0
3 years ago
Help me i will give brainliest! Asap
shusha [124]

Answer:

It's 5

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What part of the expression below should be calculated first?
Lostsunrise [7]
C ,in the most parenthesis
8 0
3 years ago
Read 2 more answers
Other questions:
  • Write a number in each box to make the sentences true
    7·1 answer
  • A line passes through the point (-8, 4) and has a slope of - 5/4.
    15·2 answers
  • What is the value of 2:3/4
    10·1 answer
  • Find the value of x in the triangle shown below.
    9·1 answer
  • It 3x - 2 = 7, then 3x = 9<br> is an example of the ?
    10·1 answer
  • A boat traveled 84 miles downstream and back. The trip downstream took 4 hours. The trip back took 28 hours. Find the speed of t
    9·1 answer
  • Norton can mow the large lawn in about 5 hours. When he works with
    9·1 answer
  • I need help! ill give brainliest!
    9·1 answer
  • 56<br> х<br> 52<br> Can someone help ?
    7·1 answer
  • Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. He
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!