Chapter 4: Q. 38 (page 285)
Use the following information to answer the next eight exercises: The Higher Education Research Institute at UCLA collected data from
The binomial distribution is
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On average, how many years would you expect a physics major to spend doing post-graduate research?
Use the following information to answer the next seven exercises: A ballet instructor is interested in knowing what percent
of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established
the following probability distribution.
• Let
• Let
On average, how many batches should the baker make?
Use the following information to answer the next four exercises: Ellen has music practice three days a week. She practices
for all of the three days
week is selected at random.
A consumer looking to buy a used red Miata car will call dealerships until she finds a dealership that carries the car. She estimates the probability that any independent dealership will have the car will be
a. In words, define the random variable
b. List the values that X may take on.
c. Give the distribution of
d. On average, how many dealerships would we expect her to have to call until she finds one that has the car?
e. Find the probability that she must call at most four dealerships.
f. Find the probability that she must call three or four dealerships
On average, Pierre, an amateur chef, drops three pieces of egg shell into every two cake batters he makes. Suppose
that you buy one of his cakes.
a. In words, define the random variable
b. List the values that
c. Give the distribution of
d. On average, how many pieces of egg shell do you expect to be in the cake?
e. What is the probability that there will not be any pieces of egg shell in the cake?
f. Let’s say that you buy one of Pierre’s cakes each week for six weeks. What is the probability that there will not
be any egg shell in any of the cakes?
g. Based upon the average given for Pierre, is it possible for there to be seven pieces of shell in the cake? Why?
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