Question

transducer for her WOIRE 12. Fruit Flies An experiment with fruit flies involves one parent with normal wings and one parent with vestigial wings. When these parents have an offspring, there is a 3/4 probability that the offspring has normal wings and a 1/4 probability of vestigial wings. If the parents give birth to five offspring, what is the probability that at least one of the offspring has vestigial wings? If researchers need at least one offspring with vestigial wings, can they be quite confi- dent of getting one? Im Frercises 13-16 use the data in the following table.

Answer 1

solution: - - Let 'Abe event that an offspring has vestigial wings. - Let B' be the event that an off spring has normal wings -). Let 'n be the number of offspring has vestigial wings. - het in' be the total number of trails. n=5 P(A) =P =+ P (B) = q = 0.25 4. = 3 = 0.75 The required probability can be calculated. PCX 21) (that at least one of them have vestigial wings) = prexactly I have vestigal wings) + P cexactly 2 have vestigial wings) + Prexactly 3 have vestigial wings tpeetcactly 4 have vestigal wings) + PCexactly share vestigal wings) PCX 21) = P(1) +PC2) +PC3) + PC4) + PC5) = 1-PCO) = |- ncx (P) (9)

= 1-5c0 (0.25)° (0.75)50 = 1-0.237 = 0.763 Therefore one offspring have Probability of at least vestigal wings is 0.763