Question

(HELP!)
What is the probability that out of 125 babies born, at least 60 will be girls? Assume that boys and girls are equally probable and round your answer to the nearest tenth of a percent.
(This is on APEX btw).

A. 51.2%
B. 70.4%
C. 10.5%
D. 99.0%

Answer 1

Let $X$ be the random variable denoting the number of girls that are born. Then $X$ has a binomial distribution on $n=125$ babies and probability of getting a girl $p=0.5$. The probability we want is

$\mathbb P(X\ge60)=\displaystyle\sum_{x=60}^{125}\binom{125}x0.5^{125-x}0.5^x\approx0.704=70.4\%$

Answer 2

The probability that out of 125 babies born, at least 60 will be girls is 48%.

What is the probability?

Probability is the chance of happening of an event or incident.

Given, 125 babies are born. We need to find out the probability that at least 60 will be girls.

Therefore, the different ways one baby can be selected in between 125 babies is 125.

Again, the different ways one girl can be selected in between 60 girls is 60.

Therefore, the required probability = $\frac{60}{125}$ = 0.48 = 48%

Learn more about probability here: brainly.com/question/12926100

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