Plzzzzzzzzzzzzzzzz help me and thank you

Solved

Show answers

Ответ:

lilsneak13

05.04.2022

Mathematics

0.1732 = 17.32% probability exactly 24 residents own a home.

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they own a home, or they do not. The probability of a resident owning a home is independent of any other resident. This 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.

78% of residents in Summerville own a home.

This means that p = 0.78

30 residents are randomly selected:

This means that n = 30

Find the probability exactly 24 residents own a home.

This is P(X = 24).

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

$P(X = 24) = C_{30,24}.(0.78)^{24}.(0.22)^{6} = 0.1732$

0.1732 = 17.32% probability exactly 24 residents own a home.

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice