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PROPEDEUSE | Inleiding Statistiek | inzendcode 279Z3 $3.26   Add to cart
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PROPEDEUSE | Inleiding Statistiek | inzendcode 279Z3
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  • Course
  • Inleiding statistiek Propedeuse
  • Institution
  • LOI - Leidse Onderwijsinstellingen

De derde inzendopgave van de Inleiding Statistiek module. Deze opgave vindt u in de propedeusefase van de opleiding Toegepaste Psychologie. Beoordeling van de inzendopgave 94/100 Module afgerond met het cijfer 8

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Document information

  • July 13, 2022
  • 6
  • 2021/2022
  • Other
  • Unknown

Subjects

  • statistiek
  • inleiding statistiek
  • propedeuse statistiek

Written for

  • LOI - Leidse Onderwijsinstellingen
  • HBO Toegepaste Psychologie
  • Inleiding statistiek Propedeuse
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I NLEIDING S TATISTIEK
Inzendopgave 3_[uw naam]

, Opdracht 3.1

Beschrijving opdracht
Het gewicht van courgettes kan beschreven worden door een variabele x die
normaal verdeeld is met μ = 380 gram en σ = 25 gram.

A. Hoe groot is de kans dat een willekeurige courgette meer dan 390 gram
weegt? (5 punten)
B. Hoe groot is de kans dat een willekeurige courgette tussen 350 en 400 gram
weegt? (10 punten)
C. Courgettes worden op de veiling verpakt in dozen van ongeveer 6 kg. Hoe
groot is de kans dat 15 courgettes minder wegen dan 6 kg? (10 punten)

Uitwerking opdracht


Tabel weergave uitwerking

A. X = gewicht van de courgettes en is normaal verdeeld.
X−μ X−380
Z= =
σ 25
De kans dat een courgette ≥ 390 =
P (X > 390) = P (Z > 0,4) = 0,3446

B. P (350 < X <400) = P (-1,2 < Z < 0,8) =
P (Z < 0,8) - P (Z < -1,2) =
P (Z < 0,8) - P (Z >1,2) =
0,7881 – 0,1151 = 0,6730

C. Y = gewicht van 15 courgettes en is normaal verdeeld.
µy = 15 x 380 = 5700
2 = 15 x 252 (9375)
 = √ 15 x 252 (96.82)
Y −μ 6000−5700
Z= →Z= = 3.09
σ 96.82
De kans dat 15 courgettes minder dan 6 kilo wegen =
P (Y < 6000) = P (Z < 3,09 =) = 0,999




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