MATH120 Exam4 2014Spring Prunty Pink

Embed Size (px)

Citation preview

  • 3.) Use the data to estimate th{~ability that a scheduled flight from Airline:Ajboes not depart on-time?

    a.)0.125 ~ c.)0.375 d.)0.075 e.)0.6 r f.) none of these C,(..91\~ ~\(~ I\\ +- ) , /'Zr E

    ' \ \ - l'llrfb 0!s. ~,\r-V' - - - yl f(O* l>t\.\-I-) - f\l l'r) ~ --Z,6{)

    b) 0.9 a) 0.5

    2.) Use the data to estimate the {probability that a scheduled flight from this airport loes depart on-time or is from airline C? - A\' a,VI; 5

    c) 0.225 @[ 0.675) e) 0.56 f) 0.45 rd~_]) o (jl) + b'oD - 2Z S JJ:.5-

    ~ I .:s;:::....:::. ~ -:! /o

  • yr\ .. ~ e , ('(W/l'~ ft Pr n ~) :::---t) yt f>,V G} "'"17 l f') h?\~J -:::. 0 , 5E:

    6) Given that A and Bare mutuall exclusive, P(A) = 0.3, andP(B) = 0.25 findP(A u B). a) 0.528 b) 0.475 c) 0.55 d) 0.075 e) O f) none of these

    Find the probability of getting at least 2 heads when this coin is tossed 3 times. 1-A..U 6~ ~-00 a.) 0.5 b.) 0.568 ~d.) 0.557 e.) 0.432 f.) none of these

    fC) ll\.,. 3 it) ;;. , u 31- -t , 1;(\o ? D. (.LI"

    Outcome (# of heads out of 3 OH 1H 2H 3H tosses) Probability 0.064 0.288 0.432 ? 2(~

    4.) An unfair coin is tossed 3 times, and the number of heads is recorded. The probability distribution for this experiment is given below.

    5) A fair coin is tossed three times. Consider the following events: it .} 1-j-

    ) ( 1 T1) Let A be the event that all three tosses land the same way-;,

  • - - -

    9) The letters in the words COMPUTERS are to be used no more than once each to form a random sequence of 3 letters. What is the probability that the sequence will contain the letter M?

    ~ b.) y.; c.) :% d.) 7J' e.) Ji f.) none of these hL5) :::- '\ . ~ 7

    ~ c ( ;)_\ 2) ' c ( 0_ I '3 ) c (__ l I J))

    f

    - ,__. ~-g.) none of these

    2o .__ :: .1si7 tZM

    d) 0.25 e) 0.625 c) 0.0179 b) 0.3571 a) 0.0357

    8) A disciplinary board at a university consists of 6 faculty members, 2 administrators, and 1 student. Five members from the board are chosen at random to be on a committee. Find the probability that the committee contains both administrators and the student member was not selected for the committee.

    ? l/ 5/ ..

    7) At your health club 40 % of the members are women, 25 % are over the age of 40, and 10 % are women over the age of 40. If a member is selected at random, find the probability that the person is a man who is 40 or younger.

    a.) 0.15 b.) 0.35 d.) 0.25 e.) 0.55 f.) none of these ( I>~ r;

    10) A bag contains 5 red, 2 green, and 6 blue marbles. Cramer reaches in and grabs es at random. Find the percent probability that he gets all of the green marbles, given that he picked none of the blue ones.

    a) 18.2% b) 7. 7% c) 1.4% ~ e) 63.6% f) none of these ,\\ inJ ! H f i'.~ti lfll1le1~Gc-v110 ~~- F

    ~) II> (\(.N'bB) ~ -;?

    t: cL '! ) 4) - 35' :::;. b'l ~ 51

  • ~ 'f Z w i 5.,_ (r-0~ lt ,,,.e (yr t I s~A-0 \ w 7-"' ~ j ( q, ) ( , I 5) +- [, I 'i_ . 8'5 )

    13)Molly enters 2 different sweepstakes contests. The probability of winning the first contest is 0.1, and the probability of winning the second contest is 0.15. Find the probability she wins exactly one contest. (Assume independence of the events.)

    a.) 0.235 b.) 0.264 ~ d.) 0.015 e.) 0.25 f) none of these

    - ~tl - _ ( ({., J ) ( (7 I :3) -t-

    (_,(_13 J 4 J l( '3 5) -t~5 -

    e.) 17% d.) 29% c.) 5% b.) 95% ~ p (' /A. i.,"' , s o-- ~ I """"' ) ~

    \,\: ~ rJu l

    12) A bag contains 3 cherry, 4 orange, and 6 lemon candies. You reach in and grab 4 pieces at random. Find the percent probability that you get at most one lemon.

    11.) A professor randomly assigns a 4-digit code to each of his students for the purpose of posting grades. (digits may repeat) Find the probability that a student's code contains at least one 3.

    a~ b.)0.2916 c.) 0.6561 d.)0.0001 e.)0.001 f) none of these

    {~~~ --- pLt1.1" W\"cl scs J) t( I ~if L r/'b 3 J :; I

    ::::- I _ _ ~ '( - -:. o , 311.3 i

  • ;J ) ~ pt_ e (1 1)))

    ' 6 7,S .j) lP I B fl I)j -= D (J05 1 ~ ~P)~f1 ~ n D~ )-::: a. z.12 ~

    0' 59 'I f

    16) Find the percent chance that randomly selected defective item as produced by an operator with

    some experience.