Question

50% of babies are born female Oliver wants to find the probability that 20 or more of the 50 babies born today were female if we use a double sided coin and a sign heads us females and Tails as males what is the best way to perform this this simulation

Answer 1

Solution:

Number of babies which are female = 50%=$\frac{1}{2}$

So, if Population of 50 is considered , and 50% of population is female then  out of 25 must be female.

Population of female can't exceed 25.

Probability of an event = $\frac{\text{Total favorable outcome}}{\text{Total Possible outcome}}$

 Probability that 20 or more of the 50 babies born today were female

    =  $_{20}^{50}\textrm{C}\times [\frac{1}{2}]^{20} \times [\frac{1}{2}]^{30}+_{21}^{50}\textrm{C}\times [\frac{1}{2}]^{21} \times [\frac{1}{2}]^{29}+_{22}^{50}\textrm{C}\times [\frac{1}{2}]^{22} \times [\frac{1}{2}]^{28}+_{23}^{50}\textrm{C}\times [\frac{1}{2}]^{23} \times [\frac{1}{2}]^{27}+_{24}^{50}\textrm{C}\times [\frac{1}{2}]^{24} \times [\frac{1}{2}]^{26}+ _{25}^{50}\textrm{C}\times [\frac{1}{2}]^{25} \times [\frac{1}{2}]^{25}$

Simulation of the Above Situation

If we use a double sided coin and a sign heads us females and Tails as males,Toss the coin 50 times , number of times Heads comes shows number of females born and number of times tails appears shows Population of men.

It may not happen that Number of heads =Number of tails if we toss the coin 50 times.So if number of tosses increases the chances are more likely that , number of heads= Number of tails. But for above problem we just have to toss coin 50 times only, that is

Number of males = Number of females

Answer 2

Answer:

keep track of the number of heads flipped in 50 flips. these represent the number of females born today repeat this 200 times.

Step-by-step explanation: