Question

A student takes an exam containing 10 true or false questions. If the student guesses, what is the probability that he will get less than 6 but more than 3 questions right? Round your answer to four decimal places.

Answer 1

The probability thta a student guess a question correctly = 1/2 = 0.5

Let X denotes the number of correct answers among 10 true or false questions.

Here,

X ~ Normal(n = 10, p = 0.5)

The probability mass function of X is

Now,

The probability that he will get less than 6 but more than 3 questions right