1. An eight-sided dice is rolled 24 times a) What is the expected number of times...

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Question

1. An eight-sided dice is rolled 24 times a) What is the expected number of times the dice shows 8? b) What is the probabilit

Answer 1

Answer #1

A) expected number of times the die show 8 = p(8) * number of trials = 1/8 * 24 = 3

B) 24C3 (1/8)^3(7/8)21 = 0.23939

C) using normal approximation :

Mean = np = 24 * 1/8 = 3

Standard deviation = s = sqrt(np(1-p)) = 1.6201

P(x>=6) = 1 - p(z < (6-3)/1.6201) = 1- p(z< 1.85) = 1- 0.9678 = 0.0322

Answer 2

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