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
Ivenika [448]
3 years ago
7

According to a recent study, 1 in every 9 women has been a victim of domestic abuse at some point 19) in her life. Suppose we ha

ve randomly and independently sampled twenty-five women and asked each whether she has been a victim of domestic abuse at some point in her life.
1. Find the probability that at least 2 of the women sampled have been the victim of domestic abuse. Round to six decimal places.
Mathematics
1 answer:
melomori [17]3 years ago
6 0

Answer:

P(X\geq 2)=1-P(X\leq 1)=1-[0.054294+0.167762]=0.777944

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Find the probability that at least 2 of the women sampled have been the victim of domestic abuse.

On this case we want to find this probability

P(X\geq 2) =1-P(X

And we can find the individual probabilities like this:

P(X=0)=(25C0)(0.11)^0 (1-0.11)^{25-0}=0.054294  

P(X=1)=(25C1)(0.11)^1 (1-0.11)^{25-1}=0.167762  

P(X\geq 2)=1-P(X\leq 1)=1-[0.054294+0.167762]=0.777944

You might be interested in
What are the solutions to the equation
igor_vitrenko [27]

Answer:

the answer to the question is 26.0

6 0
3 years ago
Will give brainliest ! need help due in an hour
bekas [8.4K]
If I’m not mistaken your years are going to be the x value and the cases are your y values so type the year as the x value and type the number of cases as the y value Let me know if I was right
5 0
3 years ago
In a certain isosceles right triangle, the altitude to the hypotenuse has length
Law Incorporation [45]

The angle bisector, median, and altitude are all the same things in an isosceles triangle.

That means that the legs of the smaller triangles created by the altitude are 4 root 2.

By special properties of an right triangle, the hypotenuse is 8.

Since the legs of the original right triangle are congruent, the area of the original triangle is 8*8/2.

Now we just simplify:

8*8/2=64/2=32

8 0
3 years ago
Item 23 Find the sale price. Original price: $50 Discount: 15% Item 23 Find the sale price. Original price: $50 Discount: 15%
Akimi4 [234]

Answer:

$42.50

Step-by-step explanation:

discount reduces the price of the good

discount value = 15% x 50 = 0.15 x 50 = 7.5

sales price = 50 - 7.5 = 42.50

7 0
2 years ago
Subtract 6x 2 −7x−2 from 6x^{2}-2x+6
ki77a [65]

Answer:

5x+8

Step-by-step explanation:

The from is the key word

That means the second term is first

6x^2 -2x +6 - (6x^2 -7x -2)

Distribute the minus sign

6x^2 -2x +6 - 6x^2 +7x +2

Combine like terms

5x+8

3 0
2 years ago
Other questions:
  • Select the correct answer.
    7·1 answer
  • Rose blew h bubbles in two hours. which algebraic expression shows how many bubbles she blew in one minute?
    10·1 answer
  • How do you solve :<br><br><img src="https://tex.z-dn.net/?f=x%20%7B%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20" id="Tex
    5·1 answer
  • Tell whether each addition problem has a sum greater the 1/2.
    6·2 answers
  • You have found a jackpot, say what ever you want
    10·1 answer
  • What is the value of the expression (3a-b)/(6(b+a)) when a = 4 and b = -2? Show your work to support your answer.
    13·1 answer
  • The outside of a closed glass display case measures 22" x 15" x 12". The glass is half inch thick. How much air is contained in
    10·1 answer
  • PLEASE HELP I'VE BEEN DOING THIS FOR 2 HOURS!!
    13·2 answers
  • HELP ME PLEASE https://brainly.com/question/22734415<br> I’m gonnna fail :(
    10·1 answer
  • S'y afin buys 12 cookies .He gives 3.1 of the cookies to his mother. He gives 6.1 of the cookies to his brother. a)How many cook
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!