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Statistics and Data Science / Statistiek en Datawetenskap - 188

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Van die vyftig studente wat geregistreer is vir ‘n MBA statistiek kursus is daar 10 wat in finansies spesialiseer.  As vier studente gekies word om aan ‘n klasaanbieding deel te neem, wat is die waarskynlikheid dat 2 van die studente in finansies spesialiseer? / Fifty students are registered for an MBA statistics course, of which 10 are majoring in finance.  If four students are selected at random to participate in a class demonstration, what is the probability that 2 of those students are finance majors?

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‘n Kennisgewing op die petrolpompe van ‘n ketting petrolgroep moedig kliënte aan om hul olie na te gaan, want hulle beweer dat een uit vyf motors gewoonlik olie nodig het.  Indien dit waar is, wat is die waarskynlikheid dat een uit die volgende vyf motors se olie nagegaan moet word? / A sign on the gas pumps of a chain of gasoline stations encourages customers to have their oil checked, claiming that one out of five cars needs to have oil added.  If this is true, what is the probability that one out of the next five cars needs oil checked?

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‘n Belegger ontvang die onderstaande inligting met betrekking tot die opbrengs op twee aandele: / An investor is given the following information about the returns on two stocks.

Aandeel / Stock

1

2

Gemiddeld / Mean

0.09

0.13

Standaardafwyking /

  Standard Deviation

0.15

0.21

Bereken die verwagte opbrengs van die portefuelje wat bestaan uit 60% van aandeel 1 en 40% van aandeel 2. / Compute the expected return of the portfolio composed of 60% of stock 1 and 40% of stock 2

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‘n Spesifieke soort gis laat brooddeeg 90% van die kere rys.  ‘n Bakkery bak 25 brode.  Wat is die verwagte aantal brode wat sal rys? / Bread made using a certain type of yeast rises 90% of the time.  A bakery bakes 25 breads.  What is the expected number of breads that will rise?

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Gegee dat X~Poisson(λ=5), bereken P(X=7). / Given that X~Poisson(λ=5), calculate P(X=7).

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Tygervallei sentrum beraam die waarskynlikheidsverdeling van die aantal keer wat klante by winkels ingaan soos hieronder gegee. / Tygervalley centre estimates the probability distribution of the number of stores mall customers actually enter, as shown in the table.

X

0

1

2

3

4

5

6

 P(X) 

 0.04 

 0.19 

 0.22 

 0.28 

 0.12 

 0.09 

 0.06 

Bereken die standaardafwyking van die aantal winkels wat deur klante besoek word. / Calculate the standard deviation of the number of stores entered by customers.

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What percentage of the products given in the dataset is red in colour?

  

Watter persentasie van die produkte wat in die datastel gegee word, is rooi in kleur?

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Which one of the clothing types ("Tag") has more Ad Boosts = "Yes" than Ad Boosts = "No"? Watter een van die klere tipes ("Merker") het meer vir “Ad Boosts” = "Yes" as vir "Ad Boosts" = "No"?
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Consider the variable “Product Rating”. Construct a frequency distribution for this variable using the classes (0.5, 1]; (1, 1.5]; (1.5, 2]; (2, 2.5]; (2.5, 3]; (3, 3.5]; (3.5, 4]; (4, 4.5]; (4.5, 5] and make an ogive of this variable. Select the correct ogive corresponding to the frequency distribution. 

 Beskou die veranderlike “Produkgradering”. Stel ‘n frekwensieverdeling vir hierdie veranderlike op deur die klasse (0.5, 1]; (1, 1.5]; (1.5, 2]; (2, 2.5]; (2.5, 3]; (3, 3.5]; (3.5, 4]; (4, 4.5]; (4.5, 5] te gebruik en maak 'n ogief van die veranderlike. Selekteer die korrekte ogief wat met die frekwensieverdeling ooreenstem.  
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