A recent survey of students at John Tukey High School revealed that 18% of the students are in favor of changing the dress code. If you ran-
domly select 15 students from this school, what is the probability that
at least three of these students are in favor of the proposal to change the
dress code?

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that 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.

18% of the students are in favor of changing the dress code.

This means that

You randomly select 15 students

This means that

What is the probability that at least three of these students are in favor of the proposal to change the dress code?

This is

In which

In which

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.