M 362K, Spring 03, Smith
Assignment for Monday, October 20
I. Read: Sections 4.6 and 4.7 (Section 4.6 should be familiar from Friday's
class.)
II. Do the following practice problems:
1. In the situation of Problem 40 on p. 176,
a. Identify a Bernoulli random variable
X.
b. Identify a binomial random variable
Y.
c. Restate the question asked in terms
of one of the random variables X or Y.
d. Answer the question asked.
2. A manufacturer of nails claims that only 3% of its
nails are defective.
a. What is the probability that there
will be two defective nails in a random sample of 24 nails from the manufacturer?
b. If you take a random sample of
24 nails from this manufacturer and find that two of them are defective,
do you have good reason to doubt the manufacturer's claim?
3. p. 177 #57