In a blue box survey, 78% of households recycle paper, 60% recycle plastic and 52% recycle both paper and plastic.
1) What
percentage of households recycle either paper or
plastic? (86%)
2) Based
on the probabilities, which households are more likely to recycle plastic:
those that recycle paper or those that don’t recycle paper? From this, can we
conclude that recycling one thing depends on recycling the other? (those that
recycle paper)
3) What
is the probability a household does not recycle paper if it doesn’t recycle
plastic? (35%)
4)
Explain
why a household recycling both paper and plastic are not mutually exclusive
events. (see key)
A credit
card company conducted a survey with 10,000 people to determine if there is a
link between annual household income and credit card balances. These were the
results:
|
Balance|Income |
<$35K |
$35K
to under $50K |
$50K
to under $75K |
$75K
to under $100K |
$100K+ |
Total |
|
<
$500 |
107 |
508 |
191 |
0 |
0 |
806 |
|
$500
to under $1000 |
169 |
1377 |
826 |
254 |
64 |
2690 |
|
$1000
to under $5000 |
0 |
890 |
1419 |
911 |
254 |
3474 |
|
$5000+ |
0 |
254 |
805 |
1229 |
742 |
3030 |
|
Total |
276 |
3029 |
3241 |
2394 |
1060 |
10000 |
5) What percentage has a credit card
balance under $1000? (34.96%)
6) What percentage of those who earn
between $35,000 and $50,000 has a credit card balance under $1000? (62.23%)
7) What percentage of those who earn
less than $75,000 has a credit card balance under $1,000? (48.55%)
8) What percentage of those who have a
credit card balance of at least $1000 has an annual household income of at
least $50,000 (82.41%)
9) Which income group is the most
likely to have a credit card balance of at least $1000? What is the trend in the
percentage of each income group that has a credit card balance of at least
$1000? ($100K+ at 93.96%; the percentage increases with each income group)
10) You are given the following table:
|
Brand |
% market share |
% used by under 25 age group |
|
Brand A |
25 |
70 |
|
Brand B |
15 |
55 |
|
Brand C |
60 |
40 |
What is the overall market share of the under
25 age group? Which brand has the largest market share of this group and what
percentage of this group does it have? (overall =
49.75%; brand C at 48.24%)
A survey of work commute habits was conducted. Respondents were divided
into inner city and suburbs. These are some of the findings:
·
76.2% live in the suburbs
·
Of those living in the suburbs, 25.2% take transit at least once a week
to work
·
Of those
living in the inner city, 12.8% take transit at least once a week to work
11)
What is the overall percentage of those who take transit at least once a
week to work? (22.25%)
12)
Of those who take transit at least once a week to work, what percentage live in the suburbs? (86.31%)
13)
Of those who take transit less than once a week to work, what percentage live in the inner city? (26.69%)