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ID: 3129308 • Letter: A
Question
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In 1865, Gregor Mendel suggested a theory of inheritance based on the science of genetics. He identified heterozygous individuals for flower color that had two alleles (one r = recessive white color allele and one R = dominant red color allele). When these individuals were mated, 3/4 of the offspring were observed to have red flowers and 1/4 had white flowers. The table summarizes this mating: each parent gives one of its alleles to form the gene of the offspring. Parent 2 Parent 1 R rr TR Rr RR We assume that each parent is equally likely to give either of the two alleles and that, if either one or two of the alleles in a pair is dominant (R), the offs pring will have red flowers (a) What is the probability that an offspring in this mating has at least one dominant allele? (Enter an exact number as an eger,fraction, or decimal.) (b) What is the probability that an offspring has at least one recessive allele? (Enter an exact number as an integer, fraction, or decimal.) (c) What is the probability that an offspring has one recessive allele, given that the offspring has red flowers? (Enter an exact number as an integer, fraction, or decimal.)Explanation / Answer
B a 0.8(0.8) 0.64 b 0.74(0.26) 0.1924 c 0.8(0.8)*(0.26)^2 0.043264 C a 28/70 0.4 b 1/21 0.04761 c 1/8 0.125 d 28/32 0.875 e 1/8 0.125 d a 1 b 1-0.1^9 0.999999999 c 1/2^9 0.001953125
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