SOLUTION: Answer the following: (A). Find the binomial probability P(x = 4), where n = 12 and p = 0.60. (B). Set up, without solving, the binomial probability P(x is at most 4) using

Question 364480: Answer the following:
(A). Find the binomial probability P(x = 4), where n = 12 and p = 0.60.
(B). Set up, without solving, the binomial probability P(x is at most
4) using probability notation.
(C). How would you find the normal approximation to the binomial probability
P(x = 4) in part A? Please show how you would calculate mean and
standard deviation in the formula for the normal approximation to the
binomial, and show the final formula you would use without going
through the calculations.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Answer the following:
(A). Find the binomial probability P(x = 4), where n = 12 and p = 0.60.
P(x=4) = 12C4(0.6)^4(0.4)^8 = 0.0420
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(B). Set up, without solving, the binomial probability P(x is at most 4) using probability notation.
12C0(0.6)^0*(0.4)^12 + 12C1(0.6)(0.4)^11+ ... + 12C4(0.6)^4(0.4)^8
=============================================

(C). How would you find the normal approximation to the binomial probability
P(x = 4) in part A?
Please show how you would calculate mean and standard deviation in the formula for the normal approximation to the binomial, and show the final formula you would use without going through the calculations.
mean = np = 12*0.6
std = sqrt(npq) = sqrt(12*0.6*0.4)
Find the area under the normal curve between x = 3.5 and x = 4.5
=========================================
Cheers,
Stan H.
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