Zadanie 7a
Find P(E).
Describe sample spaces and events, calculate elementary probabilities and connect probabilities with expected occurrence counts.
Tę umiejętność sprawdza 12 zadań wzorowanych na arkuszach IB z lat 2023–2025.
Find P(E).
Explain why the generator has 128 possible quadratics.
Show that the probability of exactly one x-intercept is 3/64.
For generated quadratics with two distinct x-intercepts, determine the possible values of ac.
For quadratics with two distinct x-intercepts: (i) show that ac=1 gives six possible quadratics; (ii) show that ac=2 gives twelve.
Find the probability p that a generated quadratic has two distinct x-intercepts. Show how you count the possibilities.
Find P(A∩B).
Estimate for tomorrow (i) the probability that a kitchen returns at least one container; (ii) the expected number returned per kitchen.
An observation time is selected uniformly from 0 to 6 seconds. Find the probability that the clearance exceeds 1.9 cm.
For experiment A, show that y2 − (4r + 1)y + r2 − r = 0.
Using the quadratic for experiment A, show that . The relation for experiment A is y2 − (4r + 1)y + r2 − r = 0.
Give two different integer pairs (r,y) satisfying experiment A.
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