SOLUTION: 2. Consider a binomial distribution with 14 identical trials, and a probability of success of 0.6 i. Find the probability that x = 2 using the binomial tables ii.Use the norm

Question 309588: 2. Consider a binomial distribution with 14 identical trials, and a probability of success of 0.6

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.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Consider a binomial distribution with 14 identical trials, and a probability of success of 0.6
i. Find the probability that x = 2 using the binomial tables
I used a TI calculator to get P(x=2) = 14C2(0.6)^2(0.4)^12 = 0.00055..
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ii.Use the normal approximation to find the probability that x = 2. Show all work.
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Find area over the interval (1.5,2,5) using u = np = 14*0.6 = 8.4,
and std = sqrt(npq) = 1.833
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z(1.5) = (1.5-8.4)/1.833 = -3.7643
z(2.5) = (2.5-5.6)/1.833 = -3.2188
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P(x=2) = P(-3.2188 < z < -3.7643) = 0.000560
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Cheers,
Stan H.
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