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lina2011 [118]
2 years ago
6

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

m at all and decides to randomly guess the answers. What is the probability that:.
SAT
1 answer:
maria [59]2 years ago
8 0

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

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MA_775_DIABLO [31]

The probability of choosing a puppy that is female and white from the given sample we have is; 25%

<h3>How to solve conditional probability?</h3>

The question asks for the probability that Ruby will randomly choose a puppy that is female and white. This is not mutually exclusive events or joint.

White female = 8 - (3 + 1 + 2)

White Female = 2 puppies

Mixed colored females = 3

White male = 1

Mixed colored male = 2

Total number of puppies = 8

Thus, the probability of choosing a puppy that is female and white is;

P(choosing a female puppy) = 2/8 = 1/4 = 25%

Complete question is;

Rubys dog has 8 puppies. the puppies include white females, 3 mixed color females, 1 white male, and 2 mixed color males. ruby wants to keep one puppy.what is the probability that she randomly chooses a puppy that is female and white

Read more about Conditional Probability at; brainly.com/question/23382435

8 0
2 years ago
Which is the equation of the line with slope 3 that contains point (-1, 5)?
Ber [7]
C i hope this helps you
6 0
3 years ago
The accompanying graph depicts demand at point d demand is
Georgia [21]

The accompanying graph depicts demand At point A, demand is: A)The accompanying graph depicts demand.

<h3>What did the graph depicts  at point A?</h3>

It depict the demands of goods at at that point.

The accompanying graph depicts demand At point A, demand is: A)The accompanying graph depicts demand.

CHECK THE COMPLETE QUESTION:

The accompanying graph depicts demand at point d demand:

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B) inelastic.

C) elastic.

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What table? you didn’t attach anything?
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One benefit of digital technology, such as desktop publishing, is that it restricted design work to trained designers thereby el
zheka24 [161]

This is false. This is not a benefit of digital technology.

<h3>What is digital technology?</h3>

This is the term that is used to refer to all of the hard wares and the soft ware components of the computer as well as the networks and internet. It also involves communication technology and information, that is used on the computer.

The benefits of digital technology has to do with the fact that devices are created to be more compact, efficient and are able to run in a much faster way. Modern digital technology has created a system where devices are portable as well as handy.

Hence we can say that It is false that a benefit of digital technology, such as desktop publishing, is the restriction of design work to trained designers thereby elevating the standards of graphic design.

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