Zadanie 1a
Estimate the median response time.
- Materiał graficzny
Statistics and probability
Umiejętności w tym dziale
Umiejętności z tego działu sprawdza 238 zadań wzorowanych na arkuszach IB z lat 2022–2026. Dział pojawia się w 39 z 53 arkuszy w bazie.
Zadania z tego działu: 238 Otwórz w wyszukiwarce z filtrami
Zadanie 1b
The class frequencies are 5 for 20 ≤ h < 25, 11 for 25 ≤ h < 30, 16 for 30 ≤ h < 35, p for 35 ≤ h < 40 and q for 40 ≤ h < 45. (i) Find p and q. (ii) Estimate the mean from this table, to four significant figures.
- Materiał graficzny
Zadanie 1a
State the mode.
Zadanie 1b
Find (i) the mean; (ii) the median; (iii) the population standard deviation.
Zadanie 1c
Draw a box-and-whisker plot on the scale provided.
- Materiał graficzny
Zadanie 1a
Initially w=3, p=1/3 and charge is 1. (i) Show that the probability a of still running with charge 1 after exactly two ticks is 2/9. (ii) Find the probability b that full charge is reached for the first time on tick 4.
- Materiał graficzny
Zadanie 1b
Under the same w=3, p=1/3 settings, a run is still active at charge 1 after tick 4. State the probability that it is again active at charge 1 after the next two ticks.
Zadanie 1c
Now let w=4 and p=1/3. Express R₂ in terms of R₁ and R₃.
Zadanie 1d
For w=4 and p=1/3 it is known that R₁=1/15 and R₃=7/15. Find R₂.
Zadanie 1h
The upward-tick probability is now 0.498. A run starts with m charge units and stops successfully when it has accumulated 12 additional units, so capacity is w=m+12. Find the smallest positive integer m giving at least an 85% chance of success.