Answer to Question #300859 in Discrete Mathematics for Tege

Question

5. What is the probability that exactly eight 0 bits are generated when 10 bits are generated with the probability that a 0 bit generated is 0.9, the probability that a 1 bit generated is 0.1, and the bits are generated independently?

Answer 1

we define the probability as below

b(8; 10 , 0.9) = (10C8) * (0.9)⁸ * (0.1)² = 0.19371 which is the required probability