Question

MathLab Elementary Statistics X Krizia Lugar。 1 2/18/19 10:57 PM Test: Test 2 Time Remaining: 01:01:26 Submit Test This Question: 1 pt This Test: 21 pts possible In a certain country, the true probability of a baby being a boy is 0 511. Among the next seven randomiy selected brths in the country, what is the probabulity that at least one of them is a girl? The probability is

Answer 1

Given that,

The true probability of a baby being a boy is 0.511.

The question asked ,

Among the next seven randomly selected births in the country, what is the probability that at least one of them is a girl.

Now as the births are randomly selected they are independent of each other , so the seven randomly selected births are independent of each other.

Now first we have to understand what is the success event and what is failure event in this case.

As it is asked what is the probability that one of them is a girl , so we take the event that a baby turns out to be a girl as success and that of being a boy as failure.

Now we let denote $E_{i}$ as the event of a failure on the trial . Then the probability of no successes is , by independence,

Hence the probability that among next seven randomly selected births in the country at least one of them is girl is given by

The answer is rounded up to three decimal places.