SOLUTION: Help... Answer the following: (A) Find the binomial probability P(x = 4), where n = 12 and p = 0.30. (B) Set up, without solving, the binomial probability P(x is at most 4) usin

Algebra ->  Probability-and-statistics -> SOLUTION: Help... Answer the following: (A) Find the binomial probability P(x = 4), where n = 12 and p = 0.30. (B) Set up, without solving, the binomial probability P(x is at most 4) usin      Log On


   



Question 639337: Help...
Answer the following:
(A) Find the binomial probability P(x = 4), where n = 12 and p = 0.30.
(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 µ and σ in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the calculations.

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
a.
b.
c. µ = np = 12(0.3) = 3.6
and σ = sqrt%28npq%29+=+sqrt%28%2812%29%280.3%29%280.7%29%29+=+1.58745
P%28X+=+4%29=+P%283.5+%3C=+X+%3C=+4.5%29
+P%28%283.5-3.6%29%2F1.58745+%3C=+Z+%3C=+%284.5-3.6%29%2F1.58745%29