Seat Exercise 2

Feat i University Math 321 Probability & Statistics Practice Set 2 A. 1. There are 200 names in a bowl and one is drawn as the door prize winner. What is the probability that yo u win, assuming that your name is in the bowl? 2. Suppo se there are three doctors in a grou p o te n peop le. ! a person is selected at random, what is the probability that he or she is a doctor? ". #onsider the sample space S $ % s1, s2, s", s&' in which( )r*s1+ $ 0.& )r*s2+ $ 0.2 )r*s"+ $ 0.1 What is )r*s&+? &. A ehicle arriing at an intersection can turn let, turn right, or continue straight ahea d. ! an e-periment consi sts o obsering the moement o one ehicle at this intersection( a. ist th e eleme nts o the s ample s pace *l ist o outcome s+ b. At tach pr obabil it ies to these el ements i al l possible outcomes are e/ually liely c. i nd the pr obabil it y that the ehi cl e turns, under the assumption o part b aboe. . 3ydraulic assemblies or landing gear coming rom an aircrat rewor acility are in spected or deects . 3istory show s that 45 ha e de ects in the sha ts alone, 65 ha e de ect s in the bus hin gs alo ne, and 25 ha e de ect s in bot h shat s and bushi ngs. ! a randoml y chosen as semb ly is to be used on aircrat, ind the probability that it has a. a bushing de ect b. a sha t or bushin g de ec t c. onl y one o the t wo ty pes o de ect s d. no de ec ts in s ha ts or b ush ing s 7. 1. Whic h o t he are b inomi al ran dom ariab les? a. The number o acc ident s per wee inol ing al cohol in the )hilippines b. The number o iolen t crimes committed p er mont h in 8.#. c. The number o succ ess ul hear t tr ansplant s out o i e patients d. The length o a pris on ter m or po ssession o shab u e. The number o 9W appl icants who are gyp ped by the recruitment agency *gyp $ il( linlang + 2. A bas etb all play er has a 05 ch ance o ma ing a re e throw. 9ut o two tries, what is the probability that he misses both shots? ". Sup pos e " o the 12 bott les i n a case o wi ne are bad. ! two bottles are randomly select ed, what the proba bilities o the ollowing a.a 7oth are good b. 7o th are bad c. 9ne i s good and one is bad &. The /uality o computer diss is measured by sending the diss through a certiier that cou nts the number o missin g pulses. A certain brand o computer diss has aeraged 0.1 missing pulse per dis. ind the probabil ity that( a. an ins pecte d dis w ill ha e no mis sing p ulse b. an ins pecte d dis will ha e more th an one mi ssin g pulse #. 1. A sect ion o an elec trical circ uit has two relays in parallel, as shown in the igur e at rig ht. The relays operate i n: dependentl y, and wh en a switch is thrown , each wi ll close properly with probability 0.4. ! both rela ys are open, ind the probability that current will low rom s to t when the switch is thrown. 2. ;n er gy shor tage and the syroceting uel costs hae made many consumers aware o the size o the automobiles they pur chase. A ma nuacturer has succee ded in compiling data on automobile size and manuacturer o newly purchased units " rd /uarte r o 200. Suppo se a cus tomer i s selected at random, and was interiewed. ind the probabi lity that the customer selected( a. )re er s medi um siz e cars b. )re ers <itsubishi cars c. )re er s he ay Toyot a cars d. )re ers T oy ota or hea y ca rs e. )re er s =iss an g i en h e does not preer heay cars Car Size A S S E M B L E R TOT AL T M H N ight 1> 6 141 10 413 <ed 126 42 1&2 &6 396 3eay 4 & 60 24 191 TOTA LS 341 192 383 84 1000 2 1 s • • t *T = Toyota M = Mitsubishi H $ 3onda N $ =issan

Upload
jason-clark-alonto
Category

Documents
view
215
download
0

Embed Size (px):

Transcript of Seat Exercise 2

8/9/2019 Seat Exercise 2

http://slidepdf.com/reader/full/seat-exercise-2 1/1

Feati UniversityMath 321 Probability & Statistics

Practice Set 2

A. 1. There are 200 names in a bowl and one is drawn as the door

prize winner. What is the probability that you win, assuming thatyour name is in the bowl?

2. Suppose there are three doctors in a group o ten people. ! aperson is selected at random, what is the probability that he or she is a doctor?

". #onsider the sample space S $ %s1, s2, s", s&' in which()r*s1+ $ 0.& )r*s2+ $ 0.2 )r*s"+ $ 0.1

What is )r*s&+?

&. A ehicle arriing at an intersection can turn let, turn right, or continue straight ahead. ! an e-periment consists o obseringthe moement o one ehicle at this intersection(a. ist the elements o the sample space *list o outcomes+b. Attach probabilities to these elements i all possible

outcomes are e/ually lielyc. ind the probability that the ehicle turns, under the

assumption o part b aboe.

. 3ydraulic assemblies or landing gear coming rom an aircratrewor acility are inspected or deects. 3istory shows that 45hae deects in the shats alone, 65 hae deects in thebushings alone, and 25 hae deects in both shats andbushings. ! a randomly chosen assembly is to be used onaircrat, ind the probability that it hasa. a bushing deectb. a shat or bushing deectc. only one o the two types o deectsd. no deects in shats or bushings

7. 1. Which o the are binomial random ariables?a. The number o accidents per wee inoling alcohol in the

)hilippinesb. The number o iolent crimes committed per month in 8.#.c. The number o successul heart transplants out o ie

patientsd. The length o a prison term or possession o shabue. The number o 9W applicants who are gypped by the

recruitment agency *gyp $ il( linlang +

2. A basetball player has a 05 chance o maing a ree throw.9ut o two tries, what is the probability that he misses bothshots?

". Suppose " o the 12 bottles in a case o wine are bad. ! twobottles are randomly selected, what the probabilities o theollowinga.a 7oth are good

b. 7oth are badc. 9ne is good and one is bad

&. The /uality o computer diss is measured by sending the dissthrough a certiier that counts the number o missing pulses. Acertain brand o computer diss has aeraged 0.1 missing pulseper dis. ind the probability that(a. an inspected dis will hae no missing pulseb. an inspected dis will hae more than one missing pulse

#. 1. A section o an electrical circuithas two relays in parallel, asshown in the igure at right.

The relays operate in:dependently, and when aswitch is thrown, each willclose properly with probability0.4. ! both relays are open,ind the probability that currentwill low rom s to t when theswitch is thrown.

2. ;nergy shortageand thesyroceting uelcosts hae

made manyconsumersaware o thesize o theautomobiles they purchase. A manuacturer has succeeded incompiling data on automobile size and manuacturer o newlypurchased units "rd /uarter o 200. Suppose a customer isselected at random, and was interiewed. ind the probabilitythat the customer selected(a. )reers medium size carsb. )reers <itsubishi carsc. )reers heay Toyota cars

d. )reers Toyota or heay carse. )reers =issan gien he does not preer heay cars

Car

Size

A S S E M B L E R TOT

ALT M H N

ight 1> 6 141 10 413

<ed 126 42 1&2 &6 396

3eay 4 & 60 24 191

TOTA

LS341 192 383 84 1000

s • • t

*T = Toyota M = Mitsubishi H $ 3onda N $ =issan