Question

In the U.S., 51% of all births are boys, and 49% are girls. Use the binomial model to find the probability that 6 out of 10 births at a local hospital are boys.
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A.
17%

B.
21%

C.
49%

D.
51%

Answer 1

Answer: The correct answer is B) 21%

Step-by-step explanation:

This is a binomial model probability problem. We need to find the probability of 6 out of 10 new births at a hospital being boys. The information we need is the number of trials observed, the number of successes and the percentage chance you have of any birth being a boy. The number of trials are 10, with the number of successes being 6 (the number of trials we want to be boys) It states that 51% or 0.51 of all births in the US are boys so we can use this value to determine our answer using our binomial model formula. After simplifying we get our answer of 21% I hope this has been of use to you :)

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