In the united states, the true probability of a baby being a boy is 0.512 (based on the data available at this writing). among the next five randomly selected births in the united states, what is the probability that at least one of them is a girl?

Question

14-02-2018
Mathematics

contestada

In the united states, the true probability of a baby being a boy is 0.512 (based on the data available at this writing). among the next five randomly selected births in the united states, what is the probability that at least one of them is a girl?

Respuesta :

Otras preguntas

Mrs. martinez is a new third grade teacher. before school started, she reviewed the entire math text and planned her approach for the year. now she moves method

HELP!!!!!!!!! ME!!!!!!!!! HELP!!!!

An igneous rock is found on the ground and has no identifiable crystals. What is the most likely origin of this rock?molten material that cooled slowlymolten ma

Two cars that are 150 miles apart start driving toward each other on parallel roads. The average speed of the first car is 60 miles per hour. The average speed

hey what is this 82*20/3*68/10

If i have 350 sq ft of land i need to cover with mosh how many bags of mosh do i need if one bag has 2 sq ft?

Explain how the analogy of a ball and a hill is useful for describing the forms of energy to beginning physiology students. use the synthesis of glucose by plan

What is a major difference between the united nations and the european union?

Which of the following is a type of kinetic energy. A. A car parked at the top of a hill. B. A rolling ball. C. Magnets stuck to each other. D. A

HEEEEEELP!!! Which sentence contains an introductory phrase? When we got to the tent, we looked back to see if the bear was still behind us. The big, brown

11beehshahbaz 11beehshahbaz · Answer 1 · 2018-02-21T21:07:58+01:00

The probability of at least one girl is the complement of probability of none girl.
i.e.
Probability of at least 1 girl = 1 - Probability of none girl

Probability of none girl means all 5 baby boys are born. So first we find the probability of all 5 babies being born as boys.

Probability of being a boy = 0.512
Since the birth of next baby is independent of the previous ones, we can write:

Probability of 5 baby boys = [tex] (0.512)^{5} [/tex]
So,
Probability of no baby girl = [tex] (0.512)^{5} [/tex]

Thus,
Probability of at least one baby girl = 1 - [tex] (0.512)^{5} [/tex] = 0.945

The final answer is rounded of to three decimal digits.