Zad. 1 |
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Rzucamy dwukrotnie monetą. Jakie jest prawdopodobieństwo wyrzucenia orła? |
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Wyniki przedstaw w postaci histogramu. |
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Zad. 2 |
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Siła kiełkowania pewnego gatunku ziarna łubinu wynosi 0,98. Dla celów doświadczalnych wybieramy 10 ziaren. |
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Obliczyć prawdopodobieństwo, że wykiełkuje 8 ziaren. |
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Wyniki przedstaw w postaci histogramu. |
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zad. 3 |
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Obliczyć prawdopodobieństwo, że w wyniku 4 rzutów kostką do gry otrzymamy jedynkę. |
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raz jedynkę |
Wyniki przedstaw w postaci histogramu. |
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Zad. 4 |
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Kostka do gry – wyrzucamy jednocześnie 3 kostki do gry. Jakie jest prawdopodobieństwo uzyskania jednej „szóstki”. |
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Wyniki przedstaw w postaci histogramu. |
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Zad.5 |
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W pewnej zimowej populacji gawronów znana jest proporcja samic i wynosi ona p=0,5. |
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Jak ocenić prawdopodobieństwo, że odławiając 10 gawronów i badając ich płeć otrzymamy dokładnie 0,1,2,3,4...10 samic? |
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Wyniki przedstaw w postaci histogramu. |
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Zad. 6 |
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Dysponujemy zbiorem 10 tysięcy nasion fasoli o średniej długości 20mm |
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i odchyleniu standardowym d = 2,50 mm. Załóżmy, że rozkład długości tych nasion jest zgodny z rozkładem normalnym. |
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a. Jak wiele nasion powinno mieć długość mniejszą niż 23,2 mm? |
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Z |
1,28 |
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b. Jaka jest proporcja nasion większych od 23,2 mm? |
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c. Jaka część nasion mieści się w granicach od 18 mm do 19 mm? |
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19 |
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18-19 |
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Zad. 7 |
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Załóżmy, że długość piór ogonowych pawia wynosi średnio 65 cm, z odchyleniem standardowym 5 cm, zaś rozkład ich długości jest normalny. |
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Oszacuj jakie jest prawdopodobieństwo, że losowo wyrwane pióro ma: |
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a. długość mniejszą niż 54 cm |
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b. Większą niż 64 cm |
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c. Między 70-75 cm |
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a. |
54 |
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b. |
64 |
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c. |
70 |
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75 |
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