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
fenix001 [56]
2 years ago
10

Weary of the low turnout in student elections, a college administration decides to choose an SRS of three students to form an ad

visory board that represents student opinion. Suppose that 48% of all students oppose the use of student fees to fund student interest groups, and that the opinions of the three students on the board are independent. Then the probability is 0.48 that each opposes the funding of interest groups.Call the three students A, B, and C. Give the probability of each possible outcomes (AcBcCc are the events that the students support the student fee usage).Pr(ABC) = _____Pr(ABCc) = _____Pr(ABcC) = _____Pr(AcBC) = _____Pr(ABcCc) = _____Pr(AcBCc) = _____Pr(AcBcC) = _____Pr(AcBcCc) = _____
Mathematics
1 answer:
-Dominant- [34]2 years ago
5 0

Answer:

P(ABC) = 0.110592

P(ABC^c) = 0.119808

P(AB^cC) = 0.119808

P(A^cBC) = 0.119808

P(AB^cC^c)  = 0.129792

P(A^cBC^c)  = 0.129792

P(A^cB^cC)  = 0.129792

P(A^cB^cC^c)  = 0.140608

Step-by-step explanation:

Given

P(A) = P(B) = P(C) = 48\%

Convert the probability to decimal

P(A) = P(B) = P(C) = 0.48

Solving (a): P(ABC)

This is calculated as:

P(ABC) = P(A) * P(B) * P(C)

This gives:

P(ABC) = 0.48*0.48*0.48

P(ABC) = 0.110592

Solving (b): P(ABC^c)

This is calculated as:

P(ABC^c) = P(A) * P(B) * P(C^c)

In probability:

P(C^c) = 1 - P(C)

So, we have:

P(ABC^c) = P(A) * P(B) * (1 - P(C))

P(ABC^c) = 0.48 * 0.48 * (1 - 0.48)

P(ABC^c) = 0.48 * 0.48 * 0.52

P(ABC^c) = 0.119808

Solving (c): P(AB^cC)

This is calculated as:

P(AB^cC) = P(A) * P(B^c) * P(C)

P(AB^cC) = P(A) * [1 - P(B)] * P(C)

P(AB^cC) = 0.48 * (1 - 0.48)* 0.48

P(AB^cC) = 0.48 * 0.52* 0.48

P(AB^cC) = 0.119808

Solving (d): P(A^cBC)

This is calculated as:

P(A^cBC) = P(A^c) * P(B) * P(C)

P(A^cBC) = [1-P(A)] *P(B) * P(C)

P(A^cBC) = (1 - 0.48)* 0.48 * 0.48

P(A^cBC) = 0.52* 0.48 * 0.48

P(A^cBC) = 0.119808

Solving (e): P(AB^cC^c)

This is calculated as:

P(AB^cC^c)  = P(A) * P(B^c) * P(C^c)

P(AB^cC^c)  = P(A) * [1-P(B)] * [1-P(C)]

P(AB^cC^c)  = 0.48 * [1-0.48] * [1-0.48]

P(AB^cC^c)  = 0.48 * 0.52*0.52

P(AB^cC^c)  = 0.129792

Solving (f): P(A^cBC^c)

This is calculated as:

P(A^cBC^c)   = P(A^c) * P(B) * P(C^c)

P(A^cBC^c)   = [1-P(A)] * P(B) * [1-P(C)]

P(A^cBC^c)   = [1-0.48] * 0.48 * [1-0.48]

P(A^cBC^c)   = 0.52 * 0.48 * 0.52

P(A^cBC^c)  = 0.129792

Solving (g): P(A^cB^cC)

This is calculated as:

P(A^cB^cC)  = P(A^c) * P(B^c) * P(C)

P(A^cB^cC)  = [1-P(A)] * [1-P(B)] * P(C)

P(A^cB^cC)  = [1-0.48] * [1-0.48] * 0.48

P(A^cB^cC)  = 0.52 * 0.52 * 0.48

P(A^cB^cC)  = 0.129792

Solving (h): P(A^cB^cC^c)

This is calculated as:

P(A^cB^cC^c)  = P(A^c) * P(B^c) * P(C^c)

P(A^cB^cC^c)  = [1-P(A)] * [1-P(B)] * [1-P(C)]

P(A^cB^cC^c)  = [1-0.48] * [1-0.48] * [1-0.48]

P(A^cB^cC^c)  = 0.52*0.52*0.52

P(A^cB^cC^c)  = 0.140608

You might be interested in
Pls help! will mark brainliest if correct
nevsk [136]

I dont know what is it sorry but I try the love yaaysya

3 0
2 years ago
What time between 6pm and 6:30 pm the hour and minutes hands be exactly 125* degree apart
vladimir2022 [97]

Answer:

6:10pm

Step-by-step explanation:

At 6:00 the hands are 180° apart.

The hour hand moves 1/12 of circle per hour = 30° per hour = 0.5° per minute.

The minute hand moves 1/60 of the circle per minute = 6° per minute

Angle between the hands decreases by 6-0.5 = 5.5° per minute.

180 - 5.5t = 125

t = 125/5.5 = 10 minutes

The hands are 125° apart at t minutes after 6:00, or 6:10.

4 0
2 years ago
This grid shows where a squirrel hid different nuts which ordered pair shows wheee the squirrel hid the acorns
Hoochie [10]
2,8 is the Awnser if you can see it on the graph it goes 2 up 8 right
5 0
3 years ago
What is the value of the expression 4x−y2y x when x = 3 and y = 3? −3 1 9 18
pychu [463]
(4x - y)/(2y + x) = (4(3) - 3)/(2(3) + 3) = (12 - 3)/(6 + 3) = 9/9 = 1
7 0
2 years ago
Solve the system of equations.
bixtya [17]
I believe X= -1 and Y= -9. Hope this helped!
5 0
3 years ago
Other questions:
  • Using the graph above, create a system of inequalities that only contains points B and C in the overlapping shaded regions. Expl
    7·1 answer
  • An empty shipping box has a mass of 2.75kg. An electronics store is packing 5 identical laptop in the shipping box. Each laptop
    7·1 answer
  • Amy wants to sell at most 25 cookies and at least 10 sprites
    13·1 answer
  • 8456.2 in exponential form?
    15·1 answer
  • Simplify the expression.<br> (4a- 80 - 4a2) + (7a3 - 7 - 6a)
    12·1 answer
  • Use the Ratio Test to determine whether the series is convergent or divergent.
    6·1 answer
  • Helpppppp I need help Asap
    9·2 answers
  • Suppose we want to choose for letters without replacement from 18 distant lovers how many ways can this be done if the order of
    8·1 answer
  • Hey! i’ll give brainliest please help!
    5·2 answers
  • Whats the reciprocal of <br> 4 3/7
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!