Mathematics, 21.12.2019 04:31 jasminebrown72

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 have 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.

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Answer from: blueval3tine

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

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:

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

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

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

Answer from: Quest

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

5c+2< 27 i really do not understand this.

Answer from: Quest

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What are the y-intercept and the slope of the line represented in the graph? a. y-intercept = -4 and

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