as established by businessweek Assume that male and female births are equally likely and that the...

Question

Question

as established by businessweek

Answer 1

Answer #1

Solution:

Given,

p = 1/2 = 0.5 (probability of boys)

1 - p = 1 - 0.5 = 0.5

n = 10

$\therefore$ X follows the Binomial(10 , 0.5)

Using binomial probability formula ,

P(X = x) = (_n C _x) * p^x * (1 - p)^{n - x} ; x = 0 ,1 , 2 , ....., n

Now ,

P[Exactly 4 boys]

= P(X = 4)

= (₁₀ C ₄) * 0.5⁴ * (0.5)^{10 - 4}

= 210 * 0.5⁴ * (0.5)⁶

= 0.205

Answer is

OC. 0.205

Answer 2

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