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Stat 215 Assignment 10
Module:
NormalApprox
, Exercise:
Births
Objective
: (not available)
Problem Description
:
The probability a birth results in a girl baby is 0.5, at least to a close
approximation. Of the next 40 births, we are interested in the number of girl
births.
The following
normal approximation to the normal applet
displays the
probabilities of a random variable
X
with
n
= 40 and
p
= 0.5. Use this applet to
answer the questions below.
Question 1
(of 5)
Question
Are we justified in using the normal distribution to approximate the assumed binomial distribution? Why?
Answer
Yes, to a close approxmation since np = n(1p) = 40 (.5) = 20 > 5. This indicates that the normal approximation
should be good. The approximation also depends on the original binomial assumptions being correct. It is plausible
to assume that the probability of a girl is constant from birthtobirth and that births are independent.
Your Answer
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 Spring '08
 Dr.
 Probability

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