The rates, by age and sex classifications, of the 2004 U.S. populace matured 16 and over are appeared in the accompanying table.

Age (in years) Men Women Total 16 to 24 18 17 35 25 to 44 15 14 29 45 to 64 12 24 65 and Older 5 7 12 Total 50 100

Source: United States Census Bureau. a Find the contingent dispersion old enough gathering for men. b Find the contingent conveyance old enough gathering for ladies. c Is age autonomous of sex? Legitimize your answer.

Question 22

A capability assessment for a specific ability was given to 100 workers of a firm. Forty of the workers were men. Sixty of the representatives breezed through the assessment (by scoring over a preset level for good execution.) The breakdown of test results among people is appeared in the going with graph.

Male Female Total

Pass 24 36 60 Fail 16 24 40 Total 40 60 100

Assume that a representative is chosen indiscriminately from among the 100 who took the assessment. a Find the likelihood that the representative passed, given that he was a man. b Find the likelihood that the representative was a man, given that a passing evaluation was gotten. c Is the occasion of finishing the test free of the occasion of sexual orientation? Legitimize your answer.

Question 23

A cow without horns is supposed to be - surveyed." Horns are prevailing to survey; that is, if a calf gets a horn quality from one parent and a survey quality from the other parent, the calf will develop horns. A horned bull had a mother who was survey. an If the bull is reared to a survey cow, what is the likelihood that the calf will develop horns? b If the bull is reproduced to a homed cow that likewise had a mother who was survey, what is the likelihood that the calf will develop horns? c If the bull is reared to a horned cow that had guardians who were both homozygous for homs, what is the likelihood that the calf will develop horns?

Question 24

A mumps immunization was authorized in the United States in 1967. The American Committee on Immunization Practices suggested routine inoculation of youngsters a year and more established in 1977. Most youngsters get a MMR (measles-mumps-rubella) inoculation at 15 months. Lately, there have been mumps flare-ups on some secondary school and school grounds, driving a few universities to either strongly suggest or require a second mumps inoculation prior to entering. The Centers for Disease Control and Prevention (CDC) report that a solitary mumps immunization is 80% defensive and two antibodies are 90% defensive from mumps. (80% defensive implies that, if an immunized individual is presented to mumps, the likelihood of procuring the infection is 1 - 0.80 = 0.20.) On one college grounds, all understudies have at any rate one immunization. A subsequent immunization is firmly suggested yet not needed. A little over half of the understudies have the subsequent inoculation. A mumps episode happens nearby and all understudies are uncovered. What is the likelihood that a haphazardly chosen understudy with mumps had the subsequent immunization?