Question

In a sample of 50,001st born babies eight were found to have a certain syndrome. Find the empirical probability that a family's first child will be born with this syndrome

Answer 1

Empirical Probability that a family's first child will be born with this syndrome is 0.0002.

Explanation:

Empirical Probability of an event E is defined

`\textrm{P(E)}  = \frac{\textrm{Number of times the event actually happens}}{\textrm{ Total number of times the experiment performed }}`

Let E: Event that the child born has a certain syndrome.

Now here, total number of times experiments performed = 50,000

The number of favorable outcome = 1

`\implies P(E)  = (1)/(50,00)   = 0.0002`

Hence, here the Empirical Probability that a family's first child will be born with this syndrome is 0.0002.