Posted by Jacob on Saturday, June 26, 2010 at 9:38am.
Using the normal approximation to the binomial distribution, find the mean and standard deviation, then use z-scores to find your probability.
Your values are the following:
p = .45, q = 1 - p = .55, x = 45, and n = 110
Now find mean and standard deviation.
mean = np = (110)(.45) = ?
standard deviation = √npq = √(110)(.45)(.55) = √(27.225) = ?
Once you have finished the calculations, then use z-scores and z-table to find probability:
z = (x - mean)/sd
Once you have the z-score, then use the table to determine your probability. Remember the problem is asking "fewer than" when looking at the table to determine your probability. You should find the answer you seek from the choices given.
I hope this will help get you started.
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