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Some characteristics in animals are said to be sex-influenced. For example, the production of horns in sheep is governed by a pair of alleles, H and h. The allele H for the production of horns is dominant in males but recessive in females. The allele h for horn less ness is dominant in females and recessive in males. Thus, given a heterozygous male (Hh) and a heterozygous female (Hh), the male will have horns but the female will be hornless. Assume that two such animals mate and the offspring is just as likely to be male as female. The lamb inherits one gene for horns randomly from pack parent. Use a tree diagram to show that the probability that a lamb will be a hornless female is 3/8. Find the average number of lambs born to obtain the second hornless female. Would you be surprised if at most five lambs were born to obtain the second hornless female? Explain.

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