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
Damm [24]
3 years ago
5

Can u please help me prove those​

Mathematics
1 answer:
Alex Ar [27]3 years ago
6 0

Answer:

ii

Step-by-step explanation:

A c A u B

B c A

Aç n Bc = Ac

What do you need to be explainer

You might be interested in
It is estimated that 75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell
Mademuasel [1]

Answer:

a) 75

b) 4.33

c) 0.75

d) 3.2 \times 10^{-13} probability that no one in a simple random sample of 100 young adults owns a landline

e) 6.2 \times 10^{-61} probability that everyone in a simple random sample of 100 young adults owns a landline.

f) Binomial, with n = 100, p = 0.75

g) 4.5 \times 10^{-8} probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

Step-by-step explanation:

For each young adult, there are only two possible outcomes. Either they do not own a landline, or they do. The probability of an young adult not having a landline is independent of any other adult, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell phone at home.

This means that p = 0.75

(a) On average, how many young adults do not own a landline in a random sample of 100?

Sample of 100, so n = 100

E(X) = np = 100(0.75) = 75

(b) What is the standard deviation of probability of young adults who do not own a landline in a simple random sample of 100?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100(0.75)(0.25)} = 4.33

(c) What is the proportion of young adults who do not own a landline?

The estimation, of 75% = 0.75.

(d) What is the probability that no one in a simple random sample of 100 young adults owns a landline?

This is P(X = 100), that is, all do not own. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 100) = C_{100,100}.(0.75)^{100}.(0.25)^{0} = 3.2 \times 10^{-13}

3.2 \times 10^{-13} probability that no one in a simple random sample of 100 young adults owns a landline.

(e) What is the probability that everyone in a simple random sample of 100 young adults owns a landline?

This is P(X = 0), that is, all own. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{100,0}.(0.75)^{0}.(0.25)^{100} = 6.2 \times 10^{-61}

6.2 \times 10^{-61} probability that everyone in a simple random sample of 100 young adults owns a landline.

(f) What is the distribution of the number of young adults in a sample of 100 who do not own a landline?

Binomial, with n = 100, p = 0.75

(g) What is the probability that exactly half the young adults in a simple random sample of 100 do not own a landline?

This is P(X = 50). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 50) = C_{100,50}.(0.75)^{50}.(0.25)^{50} = 4.5 \times 10^{-8}

4.5 \times 10^{-8} probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

8 0
2 years ago
So i called a friend a brat as a joke but shes mad at me now what do i do
Dmitry_Shevchenko [17]
You could apologize
3 0
3 years ago
Debbie set a goal to run 6 miles. On Monday she ran 2.6 miles and on Tuesday she ran 1.75 miles. How far would Debbie need to ru
Makovka662 [10]
She will need to run 1.65 to reach her go
7 0
3 years ago
Jenny’s mom is 36 years old. What percent of Jenny’s mother’s age is Jenny’s great-grandmother’s age (90)?
irakobra [83]
She is 40% her age

Hope this helped :)
6 0
3 years ago
What is the best estimation of the equation
valentina_108 [34]

Answer:

What is the best estimation of the equation  

7

8

−

6

11

? Drag the numbers into the boxes. Numbers may be used once, twice, or not at all.

1/2 added to

1/42011/21/8

1

 

−

 

1/2

=  

1/2

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Which graph represents the solution set of the system of inequalities? {y<23xy≥−x+2
    12·2 answers
  • The figure shown has two parallel lines cut by a transversal:
    15·2 answers
  • the probability density for a particle in a box is an oscillatory function even for very large energies. Explain how the classic
    10·1 answer
  • Given the diagram below with line DE║ line AC. Find BC.
    10·1 answer
  • 19x^3 + (14x + 4x^3) =
    15·2 answers
  • Use the formula L= 10 log 10 R, where Is the loudness of a sound and R is the sound's relative intensity. to find out how much l
    5·1 answer
  • Which is the best description for the graph below?<br><br> A graph decreases from (0, 3) to (9, 0).
    15·1 answer
  • Help Please!!!!!!!!!!!!!
    12·1 answer
  • Please help with maths question thank youu​
    15·1 answer
  • The box-and-whisker plot below represents some data set. What percentage of the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!