Chapter 4: Q.30 (page 285)
P(x = 4) = _______
1
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Identify the mistake in the probability distribution table.
Use the following information to answer the next five exercises: A physics professor wants to know what percent of physics
majors will spend the next several years doing post-graduate research. He has the following probability distribution.
Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.
What values does take on?
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 . We are interested in the number of dealerships she must call.
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
Approximately of students at a local high school participate in after-school sports all four years of high school. A group of seniors is randomly chosen. Of interest is the number that participated in after-school sports all four years of
high school.
a. In words, define the random variable .
b. List the values that may take on.
c. Give the distribution of
d. How many seniors are expected to have participated in after-school sports all four years of high school?
e. Based on numerical values, would you be surprised if none of the seniors participated in after-school sports all
four years of high school.
f. Based on numerical values, is it more likely that four or that five of the seniors participated in after-school sports
all four years of high school? Justify your answer numerically.
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 may take on.
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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