Question

Suppose the probability that a randomly selected​ man, aged 55​ - 59, will die of cancer during the course of the year is StartFraction 300 Over 100 comma 000 EndFraction . How would you find the probability that a man in this age category does NOT die of cancer during the course of the​ year?

Answer 1

Answer:

The probability that a man in this age category does NOT die of cancer during the course of the​ year is 0.997.

Step-by-step explanation:

Suppose the probability of an event occurring is $P_{i}$.

The probability of the given event not taking place is known as the complement of that event.

The probability of the complement of the given event will be,

$1 - P_{i}$

In this case an events X is defined as a man, aged 55​ - 59, will die of cancer during the course of the year.

The probability of the random variable X is:

$P (X) = \frac{300}{100000}=0.003$

Then the event of a man in this age category not dying of cancer during the course of the​ year will be complement of event X, denoted by X'.

The probability of the complement of event X will be:

$P(X')=1-P(X)$

          $=1-0.003\\=0.997$

Thus, the probability that a man in this age category does NOT die of cancer during the course of the​ year is 0.997.