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