Question

In the Smith family, 50% of people subscribe to cable TV and 60% subscribe to Netflix. Of those that subscribe to cable TV, 80% are Netflix subscribers.

(a) What proportion of Smiths subscribe to both cable TV and Netflix?

(b) What proportion of Smiths subscribe to cable TV or Netflix?

(c) Are the events ”subscribe to cable TV” and ”subscribe to Netflix” independent?

Answer #1

Emily wants to estimate the percentage of people who subscribe
to cable TV. She surveys 350 individuals and finds that 65
subscribe to cable TV. What is the sample proportion for
failures?

A large cable company reports the following. 80% of its
customers subscribe to its cable TV service 38% of its customers
subscribe to its Internet service 31% of its customers subscribe to
its telephone service 23% of its customers subscribe to both its
cable TV and Internet service 19% of its customers subscribe to
both its cable TV and phone service 22% of its customers subscribe
to both its Internet and phone service 15% of its customers
subscribe to all...

A large cable company reports the following.
80% of its customers subscribe to its cable TV service
40% of its customers subscribe to its Internet service
32% of its customers subscribe to its telephone service
28% of its customers subscribe to both its cable TV and
Internet service
21% of its customers subscribe to both its cable TV and phone
service
18% of its customers subscribe to both its Internet and phone
service
15% of its customers subscribe to all...

75%
of students watch The Simpsons and 50% watch Family Guy. Among the
students who watch Family Guy, 80% watch The Simpsons.
A) what is the proability randomly selected student watches
neither
B) what is the proability randomly selected student watches
both shows
C) randomly selected student watches The Simpsons, what is the
probability that they watch Family Guy
D) are these independent events? Explain

A local TV station claims that 60% of people support candidates
A, 30% support candidate B, and 10% support candidate C. A survey
of 500 registered voters is taken. The accompanying table indicates
how they are likely to vote.
Candidate A
Candidate B
Candidate C
350
125
25
Specify the competing hypotheses to test whether the TV
station's claim can be rejected by the data.
Test the hypothesis a the 1% significance level.
Conclusion? Your opinion supported the above questions...

Age
18-21
22-29
30-39
40-49
50-59
60 and over
Responded
73
255
245
136
138
202
Refused
11
20
33
16
27
49
A. If two selections are made with replacement, find the
probability that both people refused to respond.
B. If two selections are made without replacement, find the
probability that both people refused to respond.
C. Compare the results from parts (a) and (b). Should we treat
the two selections as independent or dependent events?
***Please show all...

Sal’s satellite company broadcasts TV to subscribers in Los
Angeles and New York. The demand functions for each of these two
groups are QNY =150−0.75PNY QLA=80−0.25PLA where Q is in thousands
of subscriptions per year and P is the subscription price per year.
The cost of providing Q units of service is given by C = 1000 + 80Q
where Q = QNY + QLA What are the profit-maximizing price and
quantity for Los Angeles?
A. $140, 45
B. $190,...

A researcher wants to study if binge-watching TV depends upon
the the season. He randomly samples a group of 60 people (35 in the
winter, 25 in the spring, subjects are independent between the
seasons). Of the Winter subjects, 25 Binge watch TV (10 don't). Of
the Spring subjects, 8 Binge watch TV (17 don't). What is the
observed Chi-Square statistic?
A. 3.58
B. 6.77
C. 9.16
D. 11.91
E. 8.04

In a faraway land, there are 72 % white people. There
are 30 % of people who have a particular disease. And if you
randomly select a person, that person has 20 % chance of being
white and have the disease.
A) What proportion of the students and non-white and who
is healthy?
B) Kelly's race is white, what is the chance that she
has this disease?
C) Are the events of being white and having the disease
independent events?...

Managing Ashland MultiComm ServicesThe Ashland MultiComm
Services (AMS) marketing department wants to increase subscriptions
for its 3-For-All telephone, cable, and Internet combined service.
AMS marketing has been conducting an aggressive direct-marketing
campaign that includes postal and electronic mailings and telephone
solicitations. Feedback from these efforts indicates that including
premium channels in this combined service is a very important
factor for both current and prospective subscribers. After several
brainstorming sessions, the marketing department has decided to add
premium cable channels as...

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