Question

A multiple-choice test consists of 8 questions. Each question has answer choices of a, b, c, d, and e, and only one of the choices is correct. If a student randomly guesses on each question, what is the probability that he gets fewer than 3 of them correct?
Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.

Answer 1

The probability that he gets fewer than 3 of them correct is : 0.80

Analysis of the problem

The problem is a Binomial problem

n = 8

P(correct ) = 1/5

Determine the probability that a student gets fewer than 3 correct answers

P( 0<= x <=2 ) = binomcdf ( 8, 1/5, 2)

                       = ⁸C₂(1/5)² (4/5)⁶  +  ⁸C₁(1/5)(4/5)⁷  +  ⁸C₀(4/5)⁸

                       =  0.7969 ≈ 0.80

                     

Hence we can conclude that The probability that he gets fewer than 3 of them correct is : 0.80

Learn more about binomial probability : brainly.com/question/9325204

#SPJ1