Mathematics: In history class, colin takes a multiple-choice quiz. there are 10 questions. each question has five possible answers. to the nearest percentage, what is the probability that colin will get exactly 3 questions correct if he guesses an answer to each question?

In history class, colin takes a multiple-choice

Ответ:

jh179170

10.03.2022

P = 0.201

Step-by-step explanation:

If the discrete random variable X represents the number of correct Colin responses then X can be represented by a binomial distribution with parameters p, n, x.

In this case p represents the probability that colin gets a correct answer, n represents the number of questions.

So the probability that Colin receives x correct questions is:

$P(x) = \frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}$

Where:

$p=\frac{1}{5}$

n=10

x=3

$P(x=3) = \frac{10!}{3!(10-3)!}*(\frac{1}{5})^3*(1-\frac{1}{5})^{10-3}$

$P(x=3) = \frac{10!}{3!*7!}*\frac{1}{125}*(\frac{4}{5})^{7}$

P = 0.201

0,0(0 оценок)

In history class, colin takes a multiple-choice quiz. there are 10 questions. each question has five possible answers. to the nearest percentage, what is the probability that colin will get exactly 3 questions correct if he guesses an answer to each question?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question