Question

Based on data from the U.S Center for Health Statistic, the death rate for males in the 15-24 age bracket is 114.4 per 100,000 population, and the death rate for females in that same age bracket is 44.0 per 100,000 population.
a) If a male in that bracket are randomly selected, what is the probability that he will survive? ( Express the answer with six decimal places.)
b) If two males in that ages bracket are randomly selected, what is the probability that they both survive?
c) If two females in that age bracket are randomly selected, what is the probability that they both survive?

Answer 1

Answer:

a) 0.998856

b) 0.997713

c) 0.999120

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Male death rate

114.4 per 100,000 population

So the survival rate is:

(100000 - 114.4)/(100,000) = 0.998856

Female death rate

44.0 per 100,000 population

So the survival rate is

(100000 - 44)/(100,000) = 0.99956

a) If a male in that bracket are randomly selected, what is the probability that he will survive? ( Express the answer with six decimal places.)

The survival rate for males is of 0.998856. So this is the probability that he will survive.

b) If two males in that ages bracket are randomly selected, what is the probability that they both survive?

Each one has a 0.998856 probability of surviving. So

$P = (0.998856)^{2} = 0.997713$

c) If two females in that age bracket are randomly selected, what is the probability that they both survive?

Each female has a 0.99956 probability of surviving. So

$P = (0.99956)^{2} = 0.999120$