3. -3 points MintroSla18 4.E 127 My Notes Ask Your Teacher Here are the projecte

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3. -3 points MintroSla18 4.E 127 My Notes Ask Your Teacher Here are the projected numbers (in thousands) of earned degrees in a certain country during one academic year, dassified by level and by the sex of the degree recipient: Bachelor's Masters Professional Doctorate Female 931 Male 6652 4327 Use these data to answer the following questions. (a) What is the probability that a randomly chosen degree recipient is a man? (Round your answer to four decimal places.) b) What is the conditional probability that the person chosen received a bachelor's degree, given that he is a man? (Round your answer to four decimal places.) (c) Use the multiplication rule to find the probability of choosing a male bachelor's degree recipient. Check your result by finding this probability directly from the table of counts. (Round your answer to four decimal places.) 1. 4. -3 points MintroSta18 4.E 130 My Notes Ask Your Teacher People with albinism have little pigment in their skin, hair, and eyes. The gene that govems albinism has two forms (called alleles), which we denote by a and A. Each person has a pair of these genes, one inherited from each parent. A child inherits one of each parent's two alleles independently with probability 0.5. Albinism is a recessive trait, so a person is albino only if the inherited pair is aa Beth's parents are not albino but she has an albino brother. This implies that both of Beth's parents have type Aa. Beth is not albino. She marries Bob, who is albino. Bob's genetic type must be a (a) What is the conditional probability that a child of Beth and Bob is non-albino if Beth has type Aa? What is the conditional probability of a non-albino child if Beth has type AA? b) Beth and Bob's first child is non-albino. What is the conditional probability that Beth is a carrier, type Aa?

Explanation / Answer

Ans:

a)P(male)=1005/2419=0.4155

b)P(Bachelor's degree/male)=P(Bachelor's degree and male)/P(male)=(665/2419)/(1005/2419)

=665/1005=0.6617

c)P(Bachelor degree and male)=P(Bachelor's degree/male)*P(male)=(665/1005)*(1005/2419)

=665/2419=0.2749

Bachelor's Master's Professional Doctrate Total Female 931 401 55 27 1414 Male 665 270 43 27 1005 Total 1596 671 98 54 2419

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