The state lottery claims that the probability of winning is p = 1/10 for one of its scratch-off games.If this is true, then what is the probability of getting at least 10 winning tickets in a sample of n = 100?
A)p(z -0.17)
B)p(z 0)
C)p(z +0.17)
D)p(z 0.33)

Question

The state lottery claims that the probability of winning is p = 1/10 for one of its scratch-off games.If this is true, then what is the probability of getting at least 10 winning tickets in a sample of n = 100?
A)p(z > -0.17)
B)p(z > 0)
C)p(z > +0.17)
D)p(z > 0.33)

Quizplus · Accepted Answer

The probability of getting at least 10 winning tickets in a sample of n = 100 is given by the binomial distribution with p = 1/10 and n = 100. The z-score for x = 10 is z = (10 - 100(1/10)) / sqrt(100(1/10)(1 - 1/10)) = -0.17. Therefore, the probability of getting at least 10 winning tickets is given by p(z > -0.17).

The State Lottery Claims That the Probability of Winning Is