Homework SourseA binomial random variable has a rate parameter of 035 and a
A binomial random variable has a rate parameter of 0.35 and a size parameter of 500. Using normal approx of binomial what is prob that the binomial will be greater than or equal too 188? Using continuity correct?
A binomial random variable has a rate parameter of 0.35 and a size parameter of 500. Using normal approx of binomial what is prob that the binomial will be greater than or equal too 188? Using continuity correct?
Solution
As
u = mean = np = 187.5
s = standard deviation = sqrt[n p (1 - p)] = 10.6653645
We first get the z score for the critical value. As z = (x - u) sqrt(n) / s, then as
x = critical value = 187.5
u = mean = 175
s = standard deviation = 10.6653645
Thus,
z = (x - u) / s = 1.172018077
Thus, using a table/technology, the right tailed area of this is
P(z > 1.172018077 ) = 0.120594899
