Suppose a certain ophthalmic trait is associated with eye color. Three hundred randomly selected individuals are studied, with results given in the following table. Eye Color Trait Blue Brown Other Total Yes 70 30 20 120 No 20 110 50 180 Total 90 140 70 300 Are events A (has blue eyes) and B (has the trait) independent or mutually exclusive or both? Both Mutually Exclusive Independent
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Now, let's check if the events are mutually exclusive. Two events are mutually exclusive if their intersection is 0: P(Blue Eyes and Trait) = $\frac{30}{328}$ Since $\frac{30}{328} \neq 0$, the events are not mutually exclusive. Show more…
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Suppose a certain ophthalmic trait is associated with eye color. 300 randomly selected individuals are studied with results shown below What is the probability that a person selected at random has blue eyes? Submit the answer as a percent. For example if it is 10% enter 10 in the blank Trait Blue Brown Other Total Yes 70 30 20 120 No 20 110 50 180 Total 90 140 70 300
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This chart shows the possible outcomes for eye color for a child: a) What type of variable is eye color? Categorical b) Draw or plot the probability distribution for eye color (example p. 121 – die roll) c) Are having green eyes and having blue eyes mutually exclusive events? d) What is the probability of having green eyes or blue eyes?
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The single gene trait for eye color in humans is symbolized as "B," which represents the dominant allele, and "b," which represents the recessive allele. Only in the homozygous recessive condition will an individual have blue eyes; brown eyes result from having one dominant allele. If two individuals heterozygous for the trait are crossed, all the possible genotypes seen in the offspring are: Bb and bb Brown eyes and blue eyes Brown eyes only Blue eyes only BB, Bb, and DD
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