Zadanie 4a
Find p.
Binomial models
Recognize binomial assumptions, calculate binomial probabilities and interpret the distribution's mean and variance.
Tę umiejętność sprawdzają 23 zadania wzorowane na arkuszach IB z lat 2022–2026.
Zadania sprawdzające tę umiejętność: 23 Otwórz w wyszukiwarce z filtrami
Zadanie 4b
Find P(X = 12 ∣ X ≥ 9).
Zadanie 10b
There are 24 registrations. Find (i) the probability that at least 16 attend; (ii) given that at least 16 attend, the probability that more than three fail to attend.
Zadanie 10c
The workshop can accommodate 32 attendees. Find the greatest number of registrations for which the probability that everyone who arrives can be accommodated is at least 0.99.
Zadanie 10d
Find the probability that a tray contains at least 20 resistors that pass.
Zadanie 10e
Find the probability that exactly three trays in a batch each contain at least 20 passing resistors.
Zadanie 11a
A processes 40 images. (i) Find the probability of at most five errors. (ii) Given at most five errors, find the probability of exactly three.
Zadanie 11b
For another batch of n images processed by A, P(E ≤ 5) = 0.508 to three significant figures. Find n.
Zadanie 7a
Find P(E).
Zadanie 1a
For policy A with p=.12, find (i) the probability that the first inspection is on batch 4; (ii) the probability of at least one inspection among the first 8 batches.
Zadanie 5
Each independent attempt to receive a beacon has success probability 0.18. If X is the number of successes in n attempts, then . Find the least integer n for which P(X≥1)>0.995.
Zadanie 6a
Find P(X=7).
Zadanie 6b
Find P(X≥7).
Zadanie 3d
For twelve trials, find the probability that exactly two durations are below w.
Zadanie 11c
Find the least number of trials needed for at least 99% probability of one or more successes.
Zadanie 11d
In twelve trials, find the probability of exactly three successes.
Zadanie 6a
Find the possible p values.
Zadanie 6a
Find the possible p values.
Zadanie 10c
For 60 independent readings, find (i) the probability exactly 15 are slow; (ii) the probability exactly 15 are slow, given fewer than 24 are slow.
Zadanie 10c
For 60 independent readings, find (i) the probability exactly 15 are slow; (ii) the probability exactly 15 are slow, given fewer than 24 are slow.
Zadanie 8
A sensor of type A gives normally distributed signal readings with mean 48 and standard deviation 4. A type-B sensor has mean 50 and standard deviation 3. Every reading is independent, including across the two sensors. Each sensor is tested four times and…
Zadanie 11b
Among 15 independently selected line-A pieces, find the probability that exactly 6 have thickness below 117 μm.
Zadanie 10c
A large collection contains only cycles longer than 48 minutes. (i) Find the probability that a randomly chosen cycle from this collection lasts less than 62 minutes. (ii) Twelve cycles are independently selected from the collection. Find the probability that…