University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2019
Views:

272

Pages:

2
Author:

Dixie Summers

AP Statistics Probability * Conditioual 1. Name #3 In 1912 the luxury liner Titanic, on its first voyage across the Atlantic, struck an iceberg and sank. Some passengers got offthe ship in lifeboats, but many died. The two-way table gives information about adult passengers who lived and who died, by class of passenger at random. Class of Travel First Class Second Class Third Class tavel. Survived 197 94 151 r/{z Suppose we choose an adult Died 122 167 476 3lq 2bl La1 1LS tza-l probability he or she survived? person the ttrat was in first class, what's selected a) Given that the f q-l .GrO oi = b) If the per$on selected survived, what's the probability that he or she was a third-class passenger? l5l qit = ' 3r\z c) If the person selected survived, whal's the probability that he or she died? 9=o 4{L d) If the person selected was in second class, wlrat's the probability that he or she died? Jb1 kbt = ,b10 e) Find P(survived l2nd class\. _"lq -_ a6O "-Gl 0 find P(surrived). .{q) 1;]-, ' 'bt-(" f to determine whether the events "survivedo' and'osecond class" are independent. Explain your reasoning. S) Use your answers to e and )/ ^}rou * P(s.,..r,.rer\ p (s*rrurueC I z^{ ,3c d^*) *i *t to lzat random English. Here is the distribution of results: 2. Choose a student in grades 9 Soanish 0.35 Lanzuage Probability French .10 if he or she is studying a language other than German .06 Sisn 0.08 All others 0.01 None 0.40 than English? a) What,s the probability that the student is studying a language other ,3v * .1 + "oe t, oB 1,ol --, b given that he or she is studying b) What,s ttre conditional probability that a student is studying spanish some language other than English? 2E : -:lr(a . 583 given that he or she is c) What,s the conditional probability that a student is studying Sign Language studying some language other than English? ' .oE :{=.r33 distibution of the adjusted gross income (in thousands of dollars) reported on individual federal income tax returns in a recent year: 3. Here is the lncome Probability <25 0.431 25-49 a.248 s0-99 0.215 r00-499 0.100 > 500 0.006 gross income of $50,000 or a) What is the probability that a randomly chosen return shows an adjusted more? .Lt5+.(+.oov = *azl probability ttrat the b) Given that a retum shows an income of at least $50,000, what is the conditional income is at least $100,000? ' l.t , ooc .Tu = ^i3O probability that the c) Given that a return shows an income of at least $50,000, what is the conditional income is at least $500,000? ,oD6 ,i; = .0tq