Question

In the U.S. More male babies are born than females. In 1998 some 2,265,031 males were born and 2,287,419 females were born. Find the empirical probability of an individual being born as a boy

Answer 1

0.498 or 49.8%

Explanation:

Empirical probability or experimental probability = number of times an event occured/total number of trials.

In this case, the number of times an event (male being born) occured = 2,265,031 and the total number of trials = 2,265,031 males + 2,287,419 females = 4,552,450 individuals.

The Empirical probability of an individual being a boy = 2,265,031/4,552,450

= 0.498 or 49.8%

Answer 2

Answer: The empirical probability that the individual being born is a male = 0.498

Explanation:

Given the following :

Number of males born =2,265,031

Number of females born = 2,287,419

Empirical probability is given as :

P( A) =( Number of possible outcomes of event A ÷ Total number of events)

Total number of events = (number of males born + number of females born)

Total number of events = (2,265,031 + 2,287,419) = 4552450

Probability(individual being born is a boy) =

(Number of males born ÷ Total number of children born)

=2265031÷(2265031+2287419) = 0.49754110424057

Therefore, the empirical probability that the individual being born is a male = 0.498