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A firm classifies its customers in two ways according to: / ‘n Firma klassifiseer klante op twee maniere, volgens:
(I) whether the account is overdue and / of die rekening agterstallig is en
(II) whether the account is new (less than twelve months) or old. / of die rekening nuut is (minder as twaalf maande) of oud.
An analysis of the firm’s records provides the following table of joint probabilities: / ‘n Analise van die firma se rekords verskaf ons van die volgende tabel van gesamentlike waarskynlikhede:
| Overdue / Agterstallig | Not overdue / Nie agterstallig |
New / Nuut | 0.06 | 0.13 |
Old / Oud | 0.52 | 0.29 |
One account is randomly selected. / Een rekening word ewekansig geselekteer.
If the account is overdue, what is the probability that it is new? / Indien die rekening agterstallig is, wat is die waarskynlikheid dat dit ‘n nuwe rekening is?
Suppose there are 100 students in your class, of whom ten are left-handed. Two students are selected at random (without replacement). / Veronderstel daar is 100 studente in u klas, waarvan tien linkshandig is. Twee studente word ewekansig gekies (sonder terugplasing).
What is the probability that one is right-handed and the other is left-handed? / Wat is die waarskynlikheid dat een regshandig is en die ander linkshandig is?
A single die is rolled. What is the probability that it lands on a number greater than two?
/
‘n Enkele dobbelsteen word gegooi. Wat is die waarskynlikheid dat dit op ‘n getal groter as twee land?
Suppose the following events: / Veronderstel die volgende gebeurtenisse:
A = student passes Statistics and Data Science 188 / student slaag Statistiek en Datawetenskap 188
B = student takes Financial Accounting as major / student neem Finansiële Rekeningkunde as hoofvak
Also / Verder
P(A) = 0.38 P(A | B) = 0.50 P(A en / and B) = 0.24
The probability that student does not pass Statistics and Data Science 188, given that the student does take Financial Accounting as a major. / Die waarskynlikheid dat ‘n student nie Statistiek en Datawetenskap 188 slaag nie, gegee dat die student Finansiële Rekeningkunde as hoofvak neem.
A part store sells both new and used parts. Sixty percent of the parts in stock are used. Sixty five percent are used or defective. If five percent of the store’s parts are defective, what percentage is both used and defective?
/
‘n Onderdele winkel verkoop nuwe en gebruikte onderdele. Sestig persent van die onderdele is gebruikte onderdele. Vyf-en-sestig persent is gebruik of defektief. Indien vyf persent van die winkel se onderdele defektief is, watter persentasie is beide gebruik en defektief.
If four times as many students pass Statistics and Data Science 188 as those who fail and one statistics student is selected at random, what is the probability that the student will pass Statistics and Data Science 188?
/
Indien vier keer soveel studente Statistiek en Datawetenskap 188 slaag as die wat dit sak en een student word ewekansig gekies, wat is die waarskynlikheid dat die student Statistiek en Datawetenskap 188 sal slaag?
Die volgende relatiewe frekwensieverdeling is ‘n opsomming van die tyd (in minute) wat ‘n steekproef van telefoonoproepe geduur het. / The following relative frequency distribution summarizes the duration (in minutes) of a sample of telephone calls.
Tyd / Time | Relatiewe frekwensie / Relative frequency |
(0 – 5] | 0.37
|
(5 – 10] | 0.22
|
(10 – 15] | 0.15
|
(15 – 20] | 0.10
|
(20 – 25] | 0.07
|
(25 – 30] | 0.07
|
(30 – 35] | 0.02
|
Die variasiewydte van die waarnemings is / The range of the observations is
Akademiese prestasie van huiskomiteelede van dameskoshuise is nie na wense nie aangesien hulle te veel tyd aan koshuisverpligtinge bestee. Uit al die dameskoshuise van die universiteit word 96 senior damestudente in ‘n ondersoek na die aangeleentheid betrek. Die akademiese prestasie (goed, gemiddeld of swak) van dames wat op ‘n huiskomitee dien (ja) en dames wat nie op ‘n huiskomitee dien nie (nee) is opgesom in die volgende gebeurlikheidstabel: / Academic achievements of house committee members of women’s residences are unsatisfactory because they devote too much time to residence duties. From all the women’s residences at the university, 96 senior female students were involved in an investigation regarding this matter. The academic achievement (good, average or poor) of women who served on house committees (yes) and those who did not (no) are summarised in the following contingency table:
| Huiskomitee / House committee | ||
|
| Ja / Yes | Nee / No |
Prestasie / Achievement | Goed / Good | 14 | 25 |
Gemiddeld / Average | 8 | 14 | |
Swak / Poor | 15 | 20 |
Watter persentasie van die dames wat op ‘n huiskomitee dien presteer gemiddeld? / What percentage of women that serve on a house committee perform average?
Die volgende relatiewe frekwensieverdeling is ‘n opsomming van die tyd (in minute) wat ‘n steekproef van telefoonoproepe geduur het. / The following relative frequency distribution summarizes the duration (in minutes) of a sample of telephone calls.
Tyd / Time | Relatiewe frekwensie / Relative frequency |
(0 – 5] | 0.37
|
(5 – 10] | 0.22
|
(10 – 15] | 0.15
|
(15 – 20] | 0.10
|
(20 – 25] | 0.07
|
(25 – 30] | 0.07
|
(30 – 35] | 0.02
|
As daar altesaam 18 oproepe is wat 25 minute of langer duur, hoeveel oproepe duur minder as 15 minute? / If there are 18 calls lasting 25 minutes or more, how many calls lasted less than 15 minutes?
The appropriate graph to illustrate the relationship between two quantitative variables is called
/
Die toepaslike grafiek om die verwantskap tussen twee kwantitatiewe veranderlikes te illustreer, is