Anationwide survey conducted by the national cancer society revealed the following information: of 10,000 people surveyed, 3,300 were "heavy coffee drinkers' and 160 had cancer of the pancreas. of those who had cancer of the pancreas, 137 were heavy coffee drinkers. using the data in this survey, determine whether the events "being a heavy coffee drinker" and "having cancer of the pancreas" are independent events. not independent independent

, so this events are dependent.

Step-by-step explanation:

Two events, A and B, are independent if:

In this problem, we have that:

Event A is being a heavy coffee drinker.

Of 10,000 people surveyed, 3,300 were "heavy coffee drinkers'. This means that

Event B is having cancer of the pancreas. Of 10,000 people surveyed, 160 had cancer of the pancreas. So .

is having cancer of the pancreas and being a heavy coffee drinker. Of 10000 people, 137 had cancer of the pancreas and were heavy coffee drinkers. So .

Now we verify if the equality is satisfied:

, so this events are dependent.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497