98 points in total! 1 question! no calculator! show your work! a student randomly guesses on 10 true or false questions. use the binomial model to determine the probability that the student gets 5 out of the 10 questions right. show all your steps.

0.2460 is the required probability.

Step-by-step explanation:

 We have been given binomial model

n is the total number of questions which is 10

x is the questions taken out to be which is 5

p is the probability of right answers which is :

q is the probability of the false answers which is :

We will use the model by substituting the values we get:

on substituting the values we get:

Cancel out the common terms from numerator and denominator we get:

mean, 40.6

step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!