SOLUTION: Consider a binomial distribution with 15 identical trials, and a probability of success of 0.5 i. Find the probability that x = 2 using the binomial tables ii. Use

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Question 228867: Consider a binomial distribution with 15 identical trials, and a probability of success of 0.5

i. Find the probability that x = 2 using the binomial tables
ii. Use the normal approximation to find the probability that x = 2. Show all work.
(Points: 4)
Please help with this question.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Consider a binomial distribution with 15 identical trials, and a probability of success of 0.5
i. Find the probability that x = 2 using the binomial tables
P(x=2) = 15C2(1/2)^2(1/2)^13 = 105(1/2)^15 = 105/2^15 = 0.0032043....
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ii. Use the normal approximation to find the probability that x = 2.
Ans: P(x=2) = 0
Comment: The probability of any particular number is zero because the
area over a point is zero.
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Cheers,
Stan H.