Astudent randomly guesses on 10 true/false questions. use the binomial model to determine the probability that the student gets 5 out of 10 questions right. show all your steps.

Step-by-step explanation:

we are given

A student randomly guesses on 10 true/false questions

so,

there only true and false

so, probability getting true question is

so, probability getting false question is

the student gets 5 out of 10 questions right

so,

r=5

we can use binomial probability formula

now, we can plug values

we can simplify it

and we get

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.