A student is taking a multiple-choice exam with 14 questions. Each question has four alternatives. If the student guesses on 10 of the questions, what is the probability she will guess at least 8 correct

0.042% probability she will guess at least 8 correct

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student guesses it correctly, or he does not. The probability of a student guessing a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

Each question has four alternatives.

One is correct, so

If the student guesses on 10 of the questions, what is the probability she will guess at least 8 correct

This is when . So

0.042% probability she will guess at least 8 correct

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have