1) Sunshine Insurance offers life insurance to men age 70. Mortality tables indicate the likelihood of a 70-year-old man surviving another year is .92.
If the policy is offered to six men age 70
a. What is the probability all six men survive the year?

b. What is the probability that at least one does not survives?

60.6%

0.0003%

Step-by-step explanation:

Because they are independent events, the final probability will be the multiplication of each event, that is, 0.92 multiplied 6 times, in other words:

0.92 ^ 6 = 0.606

that is to say that the probability that the 6 men survive is 60.6%

Now, to calculate that at least one survives, it means that 5 died, the probability that one dies is 1 - 0.92 = 0.08, and how they are 5 would be:

0.08 ^ 5 = 0.0000032768

Then multiplied by 0.92, which is that one survives, we are left with:

0.0000032768 * 0.92 = 0.00000301465

Which means that the probability of one surviving is 0.0003%, it is a very low probability because the probability of surviving is really high.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.