Find the probability that in 200 tosses of a fair die, we will obtain at least 30 fives.
A).6229
B).5871
C).8871
D).7673

Question

Quizplus · Accepted Answer

The probability of rolling a five on a fair die is 1/6. Using the normal approximation to the binomial distribution, we calculate the mean (μ = np = 200*(1/6) ≈ 33.33) and standard deviation (σ = √(np(1-p)) ≈ 5.27). We then find the z-score for 29.5 (continuity correction) and use the standard normal distribution to find the probability of getting at least 30 fives. The closest choice is .7673.

Find the Probability That in 200 Tosses of a Fair