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

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

Explanation:

Answer 2

Number of babies which are female = 50%=
`(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}* [(1)/(2)]^(20) * [(1)/(2)]^(30)+_(21)^(50)\textrm{C}* [(1)/(2)]^(21) * [(1)/(2)]^(29)+_(22)^(50)\textrm{C}* [(1)/(2)]^(22) * [(1)/(2)]^(28)+_(23)^(50)\textrm{C}* [(1)/(2)]^(23) * [(1)/(2)]^(27)+_(24)^(50)\textrm{C}* [(1)/(2)]^(24) * [(1)/(2)]^(26)+ _(25)^(50)\textrm{C}* [(1)/(2)]^(25) * [(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