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Question 5 Cystic fibrosis (CF) is a recessive gene disease meaning that a child has to...

Question 5

Cystic fibrosis (CF) is a recessive gene disease meaning that a child has to inherit a defective CF gene from each parent. This means that there is a 25% chance of a child having cystic fibrosis if both parents are CF carriers Hence the number of children with CF (in a family whose parents are CF carriers) has a binomial distribution with n = the number of children in the family and p= 0.25

i. In a family of four (4) children whose parents are CF carriers, what is the probability that exactly one (1) of the children has cystic fibrosis. (2 mark)

ii. In a family of six (6) children whose parents are CF carriers, what is the probability that one or more of the children has cystic fibrosis.

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