Question 632534: Please help....
Answer the following:
(A) Find the binomial probability P(x = 5), where n = 14 and p = 0.30.
(B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation.
(C) How would you find the normal approximation to the binomial probability P(x = 5) 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 stanbon(75887)   (Show Source):
You can put this solution on YOUR website! (A) Find the binomial probability P(x = 5), where n = 14 and p = 0.30.
Ans: binompdf(14,0.3,5) =
--------
(B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation.
Ans:; 5C0(0.3)^0*(0.7)^14 + 5C1(0.3)*(0.7)^13+...+5C5(0.3)^5*(0.7)^9
--------
(C) How would you find the normal approximation to the binomial probability P(x = 5) 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.
u = np = 14*0.3 = 4.2
std = sqrt(npq) = sqrt(4.2*0.7) = 1.7146
---
Find P(4.5< x <5.5) to get the normal approximation.
========================
Cheers,
Stan H.
|
|
|
