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How many newborns have some hearing problems?

User ChrisBorg
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1 Answer

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Final answer:

The probability of exactly two babies out of 1,000 healthy babies being born deaf is approximately 0.2707, or 27.07%.

Step-by-step explanation:

The probability that exactly two babies were born deaf out of a survey of 1,000 healthy babies can be found using the binomial distribution formula. In this case, the probability of a single baby being born deaf is 2/1000 = 0.002. The formula for calculating the probability of exactly two successes in n trials is:

P(X = k) = (n C k) * p^k * (1 - p)^(n - k)

Substituting the values, we have:

P(X = 2) = (1000 C 2) * (0.002)^2 * (1 - 0.002)^(1000 - 2)

Calculating these values using a calculator, we find that the probability is approximately 0.2707, or 27.07%.

User Wholeman
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