Which piece of evidence best supports the idea that monkey man has influenced

In a multiple choice exam, there are 5 questions and 4 choices for each question (a, b, c, d). Nancy has not studied for the exa

maria [59]

Using the binomial distribution, it is found that there is a 0.6836 = 68.36% probability that she guesses at least one right.

For each question, there are only two possible outcomes, either she gets it right or she does not get it right. The probability of getting a question right is independent of any other question, hence the <em>binomial distribution</em> is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 5 questions, hence n = 5.

For each question, she guesses one out of 4 options, hence p = 1/4 = 0.25.

The probability that she guesses at least one right is:

$P(X \geq 1) = 1 - P(X = 0)$

In which:

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

$P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164$

Hence:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3164 = 0.6836$

0.6836 = 68.36% probability that she guesses at least one right.

You can learn more about the binomial distribution at brainly.com/question/24863377

8 0

1 year ago

Can syrup clean a scratched CD

Neko [114]

Not likely, yet using peanut butter will fix it for a time. To use peanut butter apply a small amount to the scratched area then wipe the surface of the CD until u can only see peanut butter in the scratch. Hope this helped

5 0

3 years ago

Read 2 more answers

A private pilot wishes to insure his airplane for $. The insurance company estimates that a total loss will occur with probabil

stealth61 [152]

The premium that the insurance company should charge each year to realize an average profit of $500 is $6,900.

First step is to calculated the expected amount to pay

Expected amount=Total loss +50% loss+25% loss

Expected amount=$200,000(0.002)(1)+$200,000(0.01)(0.5)+$200,000(0.1)(0.25)

Expected amount=$400+$1,000+$5,000

Expected amount=$6,400

Second step is to calculate the premium