False; 2 is obviously divisible by 2, but cannot be divided by 4.
In the sequence of even positive integers {2, 4, 6, 8, 10, 12, …}, the set containing every other even number is also a counterexample:
{2, 6, 10, 14, 18, …}
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:
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:
In which:
Hence:
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
All of the following are mistakes that students should avoid when submitting an application except sending in their application too early.
Answer:
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