The probability of birth defect is 10% . What is the difference in probability that no one in a family of 10 people have that birth defect.

Question

Using binomial or Poisson distribution

Answer 1

Question should be What is the difference in probability that no one in a family of 10 people have that birth defect.

 

Use binomial distribution (Bernoulli trials). S=0.9, F=0.1 (S represents successful (non-defect) birth; evaluate the expansion of (S+F)¹⁰ using the binomial theorem.  The term that represents no F results is S¹⁰; all other terms have F as a factor, to some exponent, along with a binomial coefficient.

 

Answer is 0.9¹⁰ = 0.3487 rounded to 4 decimal places.