Question

Asked Dec 1, 2019

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Step 1

From the given information,

Total number of births = 912

Total number of baby girl birth = 462

Total number of baby boy birth = 450

Since, births are independent of gender that is baby will be a girl or boy are equally likely to happen.

Thus,

P(GIRL) = P(BOY)

= 1/2

Let *x* be a random variable that represents the born baby will be a girl.

So, in general *x*

From the given information,

Total number of births = 912

Total number of baby girl birth = 462

Total number of baby boy birth = 450

Since, births are independent of gender that is baby will be a girl or boy are equally likely to happen.

Thus,

P(GIRL) = P(BOY)

= 1/2

Let *x* be a random variable that represents the born baby will be a girl.

So, in general *x *follows binomial distribution.

Thus, required probability is –

follows binomial distribution.

Step 2

Thus, required probability is –

Step 3

Since, *np*≥10 or at least np is 5 (*np*>5) therefore the binomial distribution can be treat...

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