SOLUTION: Suppose a probability experiment consists of rolling a fair die 140 times. Assume that each of the 6 possible outcomes is equally likely to occur on any 1 roll of the die. Calculat

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Question 1128875: Suppose a probability experiment consists of rolling a fair die 140 times. Assume that each of the 6 possible outcomes is equally likely to occur on any 1 roll of the die. Calculate the probability that the number 2 comes up at most 27 times. Round your final answer to 3 significant digits. Use approximation to the binomial distribution and include the correction for continuity. Sketch the standard normal graph.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
np=(140/6)=23.33 expected value
np(1-p)=(140/6)(5/6)=700/36 variance and sd is sqrt(V)=4.41
z=(27.5-23.33)/4.41, using 27.5 as the continuity correction factor for at most 27
z< +0.946
probability is 0.828
Normal distribution with mean 23.33 and sd 4.41
binomial includes 27 and up to 27.5.