SOLUTION: Twenty percent of the employees of a large company are female.use the normal approximation of the binomial probabilities to answer the following questions.what is the probability t
Algebra ->
Probability-and-statistics
-> SOLUTION: Twenty percent of the employees of a large company are female.use the normal approximation of the binomial probabilities to answer the following questions.what is the probability t
Log On
Question 755228: Twenty percent of the employees of a large company are female.use the normal approximation of the binomial probabilities to answer the following questions.what is the probability that in a random sample of 80 employees
a)exactly 16 will be female?
b)14 or more will be female?
c)15 or fewer will be female
d)exactly 17 will be female?
I have the answers but i cannot figure out how to find the z score's on part a the mean and the x values aren't close enough. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Twenty percent of the employees of a large company are female.use the normal approximation of the binomial probabilities to answer the following questions.what is the probability that in a random sample of 80 employees
----
mean = 0.2*80 = 16
std = sqrt[npq] = sqrt[16*0.8] = 3.58
--------
a)exactly 16 will be female?
P(x = 16) is approximately P(15.5< x <16.5)
z(15.5) = (15.5-16)/3.58 = -0.1397
z(16.5) = (16.5-16)/3.58 = +0.1397
Ans: appromately normalcdf(-0.1397,0.1397) = 0.1111
========================================
Cheers,
Stan H.
======================
b)14 or more will be female?
Use P(13.5< x < 80.5)
----
c)15 or fewer will be female
Use P(-0.5< x < 15.5)
----------
d)exactly 17 will be female?
Same procedure are "a".
===========================
Cheers,
Stan H.
================
(