An article in the New England Journal of Medicine, reported about a study of smokers in California and Hawaii. In one part of the report, the self-reported ethnicity and smoking levels per day were given. Of the people smoking at most ten cigarettes per day, there were 9,886 African Americans, 2,745 Native Hawaiians, 12,831 Latinos, 8,378 Japanese Americans, and 7,650 Whites. Of the people smoking 11 to 20 cigarettes per day, there were 6,514 African Americans, 3,062 Native Hawaiians, 4,932 Latinos, 10,680 Japanese Americans, and 9,877 Whites. Of the people smoking 21 to 30 cigarettes per day, there were 1,671 African Americans, 1,419 Native Hawaiians, 1,406 Latinos, 4,715 Japanese Americans, and 6,062 Whites. Of the people smoking at least 31 cigarettes per day, there were 759 African Americans, 788 Native Hawaiians, 800 Latinos, 2,305 Japanese Americans, and 3,970 Whites. Suppose that one person from the study is randomly selected. Find the probability that person smoked 11 to 20 cigarettes per day. (Enter your probability as a fraction.)

Explanation:

The probability of randomly selecting one person from the study that smoked 11 to 20 cigarettes per day equals the frequency of people smoking 11 to 20 cigarrets divided by the numbers of people that participated in the study.

You need to work (order the data) to obtain the figures you need.

1. People smoking at most ten cigarettes per day,

2. People smoking 11 to 20 cigarettes per da.

3. People smoking 21 to 30 cigarettes per day,

1,671 African Americans,

1,419 Native Hawaiians,

1,406 Latinos,

4,715 Japanese Americans, and

6,062 Whites.

4. People smoking at least 31 cigarettes per day.

Calculate the totals:

Group                         Total

[0 - 10]                      41,490

[11 - 20]                    35,065

[21 -30]                    15,273

[31 and more]           8,622

          Total           100,450

5. Calculate the probability that a person smoked 11 to 20 cigarretes per day:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

step-by-step explanation: