Question

. Using the p=.80 . A survey from Veterinary Research Unlimited found that 80% of dogs do not have chronic ear infections. If 1000 dogs are selected at random, find the probability that::

a. Can you use a normal approximation to a binomial distribution? Yes or no -

b. How can you tell?

c. Find the probability that at most 790 will not have chronic ear infections.

d. Find the probability that exactly 800 will not have chronic ear infections.

e. Find the probability that at least 805 will not have chronic ear infections.

Please show all work or if you used a TI 84 please explain the necessary steps to get the answer, thank you for the help :)

Answer #1

A survey from Veterinary Research Unlimited found that 80% of
dogs do not have chronic ear infections.
Assume you have 1000 dogs and you want to determine the
following:
a. Can you use a normal approximation to a binomial
distribution? Yes or no
b. How can you tell?
c. Find the probability that at most 790 will not have chronic
ear infections.
d. Find the probability that exactly 800 will not have chronic
ear infections.
e. Find the probability that...

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c. The value in part a should be quite small. Explain why this
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Problem 1: Relations among Useful Discrete Probability
Distributions. A Bernoulli experiment consists of
only one trial with two outcomes (success/failure) with probability
of success p. The Bernoulli distribution
is
P (X = k) =
pkq1-k,
k=0,1
The sum of n independent Bernoulli trials forms a binomial
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