50% of babies are born female. Olive wants to find he probability that 20 or more of the 50 babies are born today were female. If we use a double-sided coin and assign heads as females and tails as males, what is the best way to perform this simulation
A. Keep track of the number of heads flipped in 50 flips . These represent the number of females born today
B. Keep track of the number of heads flipped in 100 flips. These represent the number of females born today
C. Keep track of the number of heads flipped in 50 flips. These represent the number of females born today. Repeat this 5 times
D.Keep track of the number of heads flipped in 50 flips. These represent the number of females born today. Repeat this 200 times

Respuesta :

Answer:

A. Keep track of the number of heads flipped in 50 flips. These represent the number of females born today.

Step-by-step explanation:

Remember: we are performing a simulation.

A double-sided fair coin has a 50% probability of landing heads and a 50% probability of landing tails; therefore, it is a good choice when simulating our scenario.

Since we are performing a simulation, flipping the double-sided coin 50 times, results in the outcomes similar to 50 babies born today; therefore, keeping track of the number of heads flipped in 50 flips represents the number of females born today.

Doing something else like flipping the coin 100 times and keeping track of the heads gives us the number of females born when 100 babies are born, NOT when 50 babies are born.

Therefore, choice A is correct.

Probability of a event is the ratio of the favorable outcome of that event to the total number of outcome of that event. The simulation for the given problem performed by keep track of the number of heads flipped in 50 flips . These represent the number of females born today. Thus the option A is the correct option.

Given information-

50% of babies are born female.

The heads of a double-sided coins is assigned to female babies.

The tails of a double-sided coins is assigned to male babies.

The probability of 20 or more babies are born female has to be find out.

Probability

Probability of a event is the ratio of the favorable outcome of that event to the total number of outcome of that event.

Double-sided coin probability

The probability of a double sided coin is 50 percent or 1/2. In which 50 percent chance is for landing the head side and 50 percent chance is for landing the tail side.

As there is total 50 babies born and there is equal number of chance male and female. For this two outcomes, chances of female is 50 percent thus the chances of male baby is also 50 percent.

For the 50 babies there should be total 50 outcomes. 50 outcomes can only land by flipping the coin 50 times.

Hence the simulation for the given problem performed by keep track of the number of heads flipped in 50 flips . These represent the number of females born today. Thus the option A is the correct option.

Learn more about the probability here;

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