Question

The probability of winning on an arcade game is 0.620. If you play the arcade game 27 times, what is the probability of winning no more than 11 times? (Round your answer to 3 decimal places, if necessary.)

Answer 1

The probability of winning on an arcade game is 0.620 and their are 27 arcade game. So, by Binomial distribution we have Mean of number of arcade game won is and

Standard deviation of the number of arcade game won is

Using normal approximation to Binomial distribution we define the standard random variable Z as

where x denotes number of arcade games won

Then by normal distribution we have the required probability as