- Use the information below to answer the following questions.
| Age (years) | 0−4 | 5−19 | 20−44 | 45−64 | 65−84 | 85+ | total |
| Male | 10,708 | 31,534 | 53,091 | 38,112 | 14,622 | 1,858 | 149,925 |
| Female | 10,284 | 30,074 | 51,432 | 39,961 | 18,519 | 3,879 | 154,149 |
| U.S. population, in thousands, by age and gender for a certain year. |
- Find the
probability that during the year, a U.S. resident was female. (Round your
answer to one decimal place.)
%
(b) Find the probability that during the year, a U.S. resident was male and between 20 and 44 years of age, inclusive. (Round your answer to one decimal place.)
%
- If p(E) = 1/5, find o(E).
o(E) =
- Suppose the table below gives the lifetime odds of death from selected causes, and use it to answer the following question.
| Heart disease | 1:6 |
| Cancer | 1:6 |
| Lower respiratory disease | 1:28 |
| Intentional Self-harm | 1:128 |
| Motor vehicle accidents | 1:135 |
| Unintentional poisoning | 1:141 |
| Falls | 1:150 |
| Assault by firearm | 1:337 |
| Car occupant | 1:413 |
| Fire or smoke | 1:147 |
| Pedestrian | 1:745 |
| Motorcycle rider | 1:907 |
| Accidental drowning | 1:1,110 |
| Choking on food | 1:3,842 |
| Pedal cyclist | 1:4,980 |
| Airplane accidents | 1:7,229 |
| Sharp objects | 1:32,321 |
| Heat | 1:58,370 |
| Hornets, wasps, or bees | 1:71,105 |
| Legal execution | 1:79,814 |
| Dog bite | 1:122,215 |
| Lightning | 1:126,157 |
What is the
probability that a person will die from lightning? Write your answer as a
fraction.
- If o(E) = 5:9, find o(E’).
o(E’) =
- If p(E) = 5/8, find o(E) and o(E’).
o(E) =
o(E’) =
6. To determine the effect their salespeople have on purchases, a department store polled 700 shoppers regarding whether or not they made a purchase and whether or not they were pleased with the service they received. Of those who made a purchase, 131 were happy with the service and 133 were not. Of those who made no purchase, 201 were happy with the service and 235 were not. Use probability rules (when appropriate) to find the probability of the event stated. (Enter your answers as fractions.)
(a) A shopper made a purchase.
- A shopper did not make a purchase.
- A supermarket polled 1,000 customers regarding the size of their bill. The results are given in the table below.
| Size of Bill | Number of Customers |
| below $20.00 | 205 |
| $20.00–$39.99 | 114 |
| $40.00–$59.99 | 189 |
| $60.00–$79.99 | 174 |
| $80.00–$99.99 | 194 |
| $100.00 or above | 124 |
Use probability rules (when appropriate) to find the relative frequency with which a customer’s bill is as stated. (Enter your answers as fractions.)
(a) less than
$40.00
(b) $40.00 or more
- After examining their clients’ records, Crashorama Auto Insurance calculated the probabilities in the figure below.
| Miles/Year < 10,000 | 10,000 ≤ Miles/Year < 20,000 | 20,000 ≤ Miles/Year | |
| Accident | 0.04 | 0.11 | 0.29 |
| No accident | 0.20 | 0.16 | 0.20 |
(a) Find the probability
that the client drives less than 10,000 miles/year and has an accident.
(b) Find the probability that a client drives less than 10,000 miles/year or
has an accident.
(c) Find the probability that a client does not drive less than 10,000 miles
per year and does not have an accident.
