Using the table below, answer the following questions:

a) Findtheprobabilityofrandomlychoosing astudentfromyoursamplewhoisleft-handed,giventhatsheisfemale.

b) Ofthestudentswhoareleft-handed,findtheprobabilityofrandomlychoosing astudentwhoisfemale.

c) WhatdoesP(R|M)mean?Finditsprobability.

d) WhatdoesP(M|R)mean?Finditsprobability.

e) Findtheprobabilityofrandomlychoosing astudentfromyoursamplewhoismale,giventhatthestudentisleft-handed.

f)ComparingthevaluesforP(M|L)andP(M),aretherandom variablesHandednessandGenderdependentorindependentvariables?Clearly explainyourreasoningusingacompletesentenceandoneofthesephrases:equally likely,morelikely,or lesslikely.

Random Variable: Gender Female (F) Male (M) Total Random Variable: LeftHanded (L) 2 2 4 Handedness FlightHanded (R) 10 2 12 Total 12 4 16