Here are the projected numbers (in thousands) of earned degrees in a certain cou

Question

Here are the projected numbers (in thousands) of earned degrees in a certain country during one academic year, classified by level and by the sex of the degree recipient: 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.) Joe buys a ticket in the Tri-State Pick 3 lottery every day, always betting on 956. He will win something if the winning number contains 9, 5, and 6 in any order. Each day, Joe has probability 0.009 of winning, and he wins (or not) independently of other days because a new drawing is held each day. What is the probability that Joe's first winning ticket comes on the 13th day? (Round your answer to four decimal places.)

Explanation / Answer

from above:

a)probabilty=987/2410=0.4095

b)probabilty =664/987=0.6727

c)probabilty =0.4095*0.6727=0.2755

5)probabilty=does not win on first 12 days*win on 13 th day =(1-0.009)12*0.009 =0.0081

Bachelor master professional Doctorate Total female 934 405 55 29 1423 male 664 250 44 29 987 Total 1598 655 99 58 2410

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