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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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andriy [413]

There are different aspects to a story. The factors that makes this story interesting is that;

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A great story is known to comprise of the use of storytelling to make important news more interesting and it is known to be more than just to inform but to also adds value to the related topic.

See full question below.

What makes this story interesting? Check all of the boxes that apply.

The writing style is exciting, and the author  uses precise words.

I was hiking on a crisp, clear autumn morning  when a snake came slithering toward me. "It's  probably just a garter Snake," I thought. As  the snake slithered nearer, I spotted a rattle b at the tip of its tail. I jumped back with a gasp. The Snake was poisonous!

The passage includes sensory details, such  as what the narrator saw and heard.  The passage makes it easy to decide how the  narrator felt during the event. The event is told in a reasonable sequence.

Learn more about stories from

brainly.com/question/11728058

7 0
2 years ago
Nine less than four times a number equals fifteen
Natasha_Volkova [10]
Simple
Nine less than a number times four equals fifteen
basically, x*4-9=15 would be your equation, or something similar
Well, we know x can't equal 1,2,3,OR 4. Five is also out, because 5*4=20-9=11, so cross that out.
But if you try doing 6*4-6=15, it fits.
6*4=24, 24-9=15
Thus, x=6, so your answer to Nice less than four times a number equals fifteen is 6. 
~Hope this helps!

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