School
DAILY LESSON LOG
Teacher STATISTICS & PROBABILITY
I. OBJECTIVES A! Cotet Stadard% B! Per4orace Stadard% C! Lear#$ Co7etec#e%; O8
CCNHS – SENIOR HIGH SCHOOL DEPARTMENT ENGR! CESAR M! DEL ROSARIO "R!
Teach#$ Date% ad NO'EMBER 1 ( T#e )*+,1- . M(Th
MONDAY
TESDAY
2EDNESDAY
Lear#$ Area
GRADE Stra 11 d STATISTICS AND PROBABILITY
/0arter THIRD
THRSDAY
The learer #% a8le to a77l6 a a77ro7r#ate rado var#a8le var#a8le 4or a $#ve real(l#4e 7ro8le 9%0ch a% # dec#%#o a5#$ ad $ae% o4 chace:! At the ed o4 the le%%o* the learer 0%t 8e a8le to.
At the ed o4 the le%%o* the learer 0%t 8e a8le to.
At the ed o4 the le%%o* the learer 0%t 8e a8le to.
1. "nd te #ossible 1. construct te values o$ a random #robabilit% mass mass $unction o$ a discrete random 1. illustrate a random variable and variable and its variable (discrete and corres#onding 2. illustrate a #robabilit% istogram. continuous) and distribution $or a random variable 2. distinguis bet!een adiscrete and its #ro#erties. discrete and a continuous random variable. M11;1+SP(IIIa(= M11;1+SP(IIIa(= ad ()
M11;1+SP(IIIa(>
'andom Variables and robabilit% istributions
'andom Variables and robabilit% istributions
'andom Variables and robabilit% istributions
Elementary Statistics (8th Ed.) Step-by-step approach, pp. 253-259
Elementary Statistics (8th Ed.) Step-by-step approach, pp. 253-259
Elementary Statistics (8th Ed.) Step-by-step approach, pp. 253-259
III. *E+'&I&, 'ESO-'CES A! Re4erece% 1. Teacher’s Guide pages 2. Learner’s Materials pages 3. Textbook pages
3RIDAY
The learer deo%trate% 0der%tad#$ o4 5e6 coce7t% o4 rado var#a8le% ad 7ro8a8#l#t6 d#%tr#80t#o%!
M11;1+SP(IIIa(1 M11;1+SP(IIIa(1 ad (+
II. CO&TE&T
T# e
Grade level
4. Additional Materials fro Learning !esource "L!# portal B! Other Lear#$ Re%o0rce%
www.anal yz emat h.com
www. anal yzemath.com
www.anal yzemath.com
IV. 'OCE-'ES A! Rev#e?#$ 7rev#o0% le%%o or 7re%et#$ the e? le%%o B! E%ta8l#%h#$ a 70r7o%e 4or the le%%o
C! Pre%et#$ ea7le%; #%tace%
e!nitions and concepts o"# -$ariable -%andom $ariable -iscrete %andom $ariable -&ontin'o's random $ariable Eamples o" discrete random
Rev#e? the coce7t% d#%c0%%ed d0r#$ the @r%t d#%c0%%#o
Rev#e? the coce7t% d#%c0%%ed d0r#$ the @r%t d#%c0%%#o
e!nitions and concepts o"# -robability robability Eperiment -Sample Space -*'tcome
-robability distrib'tions and o'tcomes -robability mass "'nction (pm") -pm" histo+ram
robability istrib'tion o" tossin+ a coin three times.
ariable#
Eamples o" discrete random
. o. o" st'dents
ariable in probability
2. o. o" boo/s in a library
eperiments#
robability distrib'tion "or rollin+ a sin+le dice.
. 0ossin+ a "air coin Eamples o" contin'o's
2. %ollin+ a dice1s
random ariable#
3. rawin+ cards
. hei+ht
. drawin+ a ball "rom a container
2. wei+ht 3. temperat're
%epresent +raphically the probability distrib'tion "or the sample space "or tossin+ three coins.
. len+th or distance
D! D#%c0%%#$ e? coce7t% ad 7ract#c#$ e? %5#ll% 1
E! D#%c0%%#$ e? coce7t% ad 7ract#c#$ e? %5#ll% +
Conce#ts and Conce#ts and de"nition de"nition o$ terms/ o$ terms/ 1. Variableis a 1. robabilit% as a characteristic or attrib'te +eneral concept can be that can ass'me de!ned as the chance o" an dierent al'es. eent occ'rrin+. 2. 'andom Variable is 2. robabilit% a ariable whose al'es E#eriment are determined by is a chance process that chance. leads to well-de!ned res'lts called 0. iscrete 'andom o'tcomes. variable hae a !nite n'mber o" 0. Outcome is the res'lt possible al'es or an o" a sin+le trial o" a in!nite n'mber o" probability eperiment. al'es that can be . Sam#le S#ace is the co'nted. set o" all possible o'tcomes . Continuous 'andom o" a probability eperiment. Variable are obtained "rom data that can be meas'red rather than co'nted.
Sit'ations that ill'strates discrete random ariables# . 'mber o" pizzas sold by izza @actory or ;lbertos. 2. 'mber o" bananas sold in %awis @air ?ar/et. 3. 'mber o" boo/s in the library. Sit'ations that ill'strates contin'o's
Conce#ts $or robabilit% istributions/ T!o 'e3uirements $or a robabilit% istribution 1. 0he s'm o" the probabilities o" all the eents in the sample space m'st e4'al that is, 6 (7) . 2. 0he probability o" each eent in the sample space m'st be between or e4'al to and . 0hat is, : (7) : . 3. ; probability cannot be a ne+atie n'mber or +reater than . 45 5ormula/ () 1b-a< "or a : : b =here# a !rst discrete random ariable b last discrete random ariable rollin+ o" dice# 7(,2,3,,5,>) a and b> there"ore, ?@# 19-< 1> or .A
robability eperiments that Conce#ts and de"nition prod'ces discrete random o$ terms/ ariables and its sample 1. robabilit% 4ass spaces# 5unction 0he "'nction that assi+ns 1. Tossing a coin 'mber o" toss# probability "or a discrete Sample space# 2 (B and random ariable, beca'se it 0) shows how m'ch 'mber o" toss# 2 probability, or CmassD, is Sample space# +ien to each al'e o" the random ariables. 0he total mass (or wei+ht) (BB,0B,B0,00)
random ariable# . Fi"etimes (in ho'rs) o" 5 Faptop batteries. 2. =ei+hts o" the bac/pac/s o" the Senior Bi+h School st'dents 3. Glood press'res o" r'nners who will compete in the E$%;; marathon
3! Develo7#$ a%ter6 9Lead% to 3orat#ve A%%e%%et +:
G! 3#d#$ 7ract#cal
'mber o" toss# 3 Sample space# 8
2. 'olling a dice Sample space# > 'olling t!o dice Sample space# 3> 0. ra!ing a card Sample space# 52 ote# resent these random ariables in a table.
roblems/ roblems/ &.%.$. . @ind the probability o" . 0he amo'nt o" mil/ in hain+ a head i" a coin is a +allon tossed twiceI 2. 0he wei+ht o" a !sh +ns!er/ 6 or 7.89 3. 0he price o" a ho'se 2. @ind the probability o" . 0he time ta/en to hain+ no head i" a coin is comm'te "rom home to tossed twiceI school +ns!er/ : or 7.29 5. the len+th o" the room 3. @ind the probability o" .%.$. hain+ an een n'mber in >. 0he no. o" cars sold by rollin+ a dice onceI 0oyota +ns!er/ 0;< or 7.97 A. o. o" ho'ses in a city . @ind the probability o" bloc/ hain+ a n'mber +reater 8. o. o" !sh ca'+ht in a than in rollin+ a dice !shin+ trip onceI 9. o. o" complaints +ns!er/ 9;< or 7.=0000 receied at a radio 5. @ind the probability o" station drawin+ a diamond in a . o. o" heads dec/ o" cardsI obtained in three tosses +ns!er/ 10;92 or 7.29 o" a coin +##lication/ +##lications/
"or a probability distrib'tion is e4'al to one. 2. ; contin'o's random ariable doesnHt act'ally assi+n probability or mass, it assi+ns density, which means it tells yo' how dense the probability is aro'nd "or any al'e o" . &ontin'o's random ariables hae no probability at any sin+le point beca'se there is no area oer a sin+le point. roblems/ etermine whether each distrib'tion is a probability distrib'tion.
+##lication/
Fottery +amblin+, &ara y cr'z, &ard +ames J these are +ames o" chance with random ariables
a77l#cat#o% o4 coce7t% ad %5#ll% # da#l6 l#v#$
Meneralize the concepts and de!nitions presented.
H! Ma5#$ $eeral#at#o% ad a8%tract#o% a8o0t the le%%o I! Eval0at#$ lear#$
roblems/ Kndicate i" the "ollowin+ is &ontin'o's %andom $ariable or iscrete %andom $ariable. (Meneral Statistics boo/)
"! Add#t#oal act#v#t#e% 4or a77l#cat#o
V. 'E4+'>S VI. 'E5*ECTIO& A! No! o4 learer% ?ho eared , # the eval0at#o! B! No! o4 learer% ?ho reF0#re add#t#oal act#v#t#e% 4or reed#at#o ?ho %cored 8elo?
NO SCHEDLE
K" the probability that it will rain tomorrow is .2, what is the probability that it wonHt rain tomorrowI =o'ld yo' recommend ta/in+ an 'mbrellaI +ns!er/ .8 Since the probability that it wonHt rain is 8L, yo' co'ld leae yo'r 'mbrella at home and be "airly sa"e.
?any ariables in b'siness, ed'cation, en+ineerin+, and other areas can be analyzed by 'sin+ probability distrib'tions
%ein"orce the concepts disc'ssed and s/ills practiced.
%ein"orce the concepts disc'ssed and s/ills practiced!
roblems/ @ind the probabilities o" the "ollowin+ sit'ations. (Elementary Statistics, stepby-step approach, 8th Ed. pp. 23-2, selected problems only) roblems/ &lassi"y each o" the "ollowin+ random ariables as discrete or contin'o's. (Kntrod'ctory Statistics, Ath Ed. p. 93-9)
roblems/ etermine whether or not each table represents a alid probability distrib'tion. (Kntrod'ctory Statistics, Ath Ed. pp. 9>-99)
C! D#d the reed#al le%%o% ?or5 No! o4 learer% ?ho have ca0$ht 07 ?#th the le%%o! D! No! o4 learer% ?ho cot#0e to reF0#re reed#at#o! E! 2h#ch o4 6 teach#$ %trate$#e% ?or5ed ?ell 2h6 d#d the%e ?or5 3! 2hat d#c0lt#e% d#d I eco0ter ?h#ch 6 7r#c#7al or %07erv#%or ca hel7 e %olve G! 2hat #ovat#o or local#ed ater#al% d#d I 0%e;d#%cover ?h#ch I ?#%h to %hare ?#th other teacher% re#ared b%/
Cec?ed b%/
CES+' 4. E* 'OS+'IO J'.@ CE SS T1
E'AI& *. -'CI+@ +** ead@ CC&SSS
+##roved/
C+*IC> . +''IET+@ rinci#al I
