Question

In a recent survey of homes in a major Midwestern city, 30% of the homes have a fax machine and 75% have a personal computer. Suppose 15% of the homes have both a fax machine and a personal computer. What is the probability that a randomly selected home does not have a fax machine or does not have a personal computer?

Answer #1

In a recent survey of homes in a major Midwestern city, 10% of
the homes have a fax machine and 55% have a personal computer.
Suppose 7% of the homes with a fax machine also have a personal
computer. What is the probability that a home has a fax machine or
a personal computer?

According to the Consumer Electronics Manufacturers
Association, 10% of all U.S. households have a fax machine and 52%
have a personal computer. Suppose 91% of all U.S. households having
a fax machine have a personal computer. A U.S. household is
randomly selected.
a. What is the probability that the household has a fax
machine and does not have a personal computer?
b. What is the probability that the household has neither a
fax machine nor a personal computer?
c. What...

13)A survey for brand recognition is done and it is determined
that 30% of consumers have heard of Dull Computer Company. A survey
of 847 randomly selected consumers is to be conducted. For such
groups, would it be unusual to get 305 consumers who recognize the
Dull Computer Company name? Why or why not? Explain your answer
using descriptive statistics and/or probability appropriately.
14)The number of lightning strikes in a year at the top of a
particular mountain has a...

According to a recent survey, 75% of American households have a
Vacuum Cleaner. If 20 American households are selected at random,
find the probability that 18 of them have a Vacuum . Out of the
selected households, what is the probability that there is more
than 1 Vacuum? What is the probability out of the
selected households, that there is at most 3 Vacuum ?

Real estate ads suggest that 54% of homes for sale have garages,
43% of homes have swimming pools, and 15% have both features. Show
your work.
(a) What is the probability that a home for sale has neither a
pool nor a garage? Round your answer to two decimal places.
(b) What is the probability that a home for sale has a pool but
no garage? Round your answer to two decimal places.

Suppose that in Los Angeles, 66% of homes have a garage, 23%
have a pool and 12% have both.
1. What is the probability that a home chosen at random has a
pool?
2. What is the probability that a home chosen at random has a
garage?
3. What is the probability that a home chosen at random has
neither a pool nor a garage?
4. What is the probability that a home chosen at random has a
garage but...

Suppose that on average 2 people in a major city die each year
from alien attack. Suppose that each attack is random and
independent.
(a) If X is the number of deaths from alien attack within the
next year from a randomly selected major city, what type of random
variable is X?
(b) Use the Poisson approximation to approximate the probability
that the next major city you visit will have at least 3 deaths due
to alien attack?
(c) Why...

Of the people living in a large city, 30% have high income, 50%
have middle income, and 20% have low income. Of those who have high
income, 10% are expats. Of those who have middle income, 30% are
expats. Of those who have low income, 20% are expats.
What is the probability that a randomly selected person is an
expat? Show your work.
What is the probability that a randomly selected person has high
income, given that the person is...

1. Phones. Recent research suggests that 43% of Americans have a
home phone, 90% have a cell phone, and 36% have both a landline and
a cell phone.
What is the probability that a randomly selected American
has:
a. A home or cell phone?
b. Neither a home phone nor a cell phone?
c. A cell phone but no home phone?

In a survey of 1390 people, 1073 people said they voted in a
recent presidential election. Voting records show that 75% of
eligible voters actually did vote. Given that 75% of eligible
voters actually did vote, (a) find the probability that among 1390
randomly selected voters, at least 1073 actually did vote. (b)
What do the results from part (a) suggest?

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