Question

< 1 2 3 5 6 7 8 9 10 11 12 13 > Question 4 of 13 (4 points) | Attempt 1 of 1 View question in a popup | Ở 24m 17s Remaining 5.2 Section Exercise 27, 28ab (calc) Take a guess: A student takes a multiple-choice test that has 11 questions. Each question has five choices. The student guesses randomly at each answer. Let X be the number of questions answered correctly. (a) Find P (6). (b) Find P (More than 3). Round the answers to at least four decimal places. Part 1 of 2 (a) P (6) = 0 Part 2 of 2 (b) P (More than 3) = 0 Submit Assignment

Answer 1

Solution

Given that ,

Using binomial probability formula ,

P(X = x) = (_n C _x) * p^x * (1 - p)^{n - x}

(a)

P(X = 6) = (₁₁ C ₆) * 0.2⁶ * (0.8)⁵

Probability = 0.0097

(b)

P(more than 3)

= 1 - binom.dist(3,11,0.2,TRUE)   

= 0.1611