Answer:
probability of defective = 0.0545
Probability of a chip to be stolen = 0.0917
Step-by-step explanation:
given data
all computer chips produced are defective = 50%
legally marketed are defective = 5 %
stolen = 1%
solution
we get here probability of defective that is
probability of defective = P ( insepected and defective + stolen and defective) .........................1
put here value
probability of defective = (1 - 0.01) × 0.05 + 0.01*0.5
probability of defective = 0.0545
and
So, Probability of a chip to be stolen given defective =P (stolen and defective) ÷ P(defective) ......................2
put here value
Probability of a chip to be stolen = 0.01 × 0.5 ÷ 0.0545
Probability of a chip to be stolen = 0.0917
So for a mother ages 28 , there is a chance of 1 in 1000 , but at the age of 38 there is a chance of 1 in 200 . to work out how many times more likely it is for the 38 year old to give birth to a child with down syndrome is to divide 1000 by 200 and this gives us 5 . so the 38 year old is 5 times more likely to give birth to a child with down syndrome than a 28 year old :)