Zadanie 6a
Find p.
Binomial models
Recognize binomial assumptions, calculate binomial probabilities and interpret the distribution's mean and variance.
Tę umiejętność sprawdza 27 zadań wzorowanych na arkuszach IB z lat 2022–2026.
Zadania sprawdzające tę umiejętność: 27 Otwórz w wyszukiwarce z filtrami
Zadanie 6b
Find P(X = 12 ∣ X ≥ 9).
Zadanie 8d
A daily simulation has three independent trials. A flagged record earns 7 audit credits and a clear record earns 2. Let X be the day’s total credits. Its possible values are 6,11,16,21. The probabilities for 6 and 16 are respectively 64/125 and 12/125. Find…
Zadanie 8b
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 9b
Find the probability of at least seven gold markers in one play, to five significant figures.
Zadanie 7e
A player wins a bonus if the total score in exactly five rounds is greater than 48. Find the probability of winning the bonus.
Zadanie 8d
Find the probability that a tray contains at least 20 resistors that pass.
Zadanie 8e
Find the probability that exactly three trays in a batch each contain at least 20 passing resistors.
Zadanie 8a
State two conditions needed to model a count by a binomial distribution.
Zadanie 8b
Find the expected number who join soldering.
Zadanie 8c
Find (i) P(D = 512); (ii) P(490 ≤ D ≤ 520).
Zadanie 8d
Given 490 ≤ D ≤ 520, find the probability that at most 501 visitors join soldering.
Zadanie 8f
On Sunday there are n visitors, and each joins 3D printing with probability 0.68. The probability that at most 450 join is approximately 0.762. Find n.
Zadanie 6a
Find P(E).
Zadanie 6
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 7d
For 80 independently selected segments: (i) find the expected number with lengths between 48 cm and 60 cm; (ii) find the probability that exactly 72 have lengths in that interval.
Zadanie 7b
For 600 random selections from R, find the probability that fewer than 120 selected devices are at least 48 months old.
Zadanie 7b
For 500 random selections from R, find the probability that fewer than 160 selected devices are at least 36 months old.
Zadanie 4d
For twelve trials, find the probability that exactly two durations are below w.
Zadanie 8e
Assume these proportions apply to future shipments. For twelve independent future shipments, find the probability that at least seven use vans.
Zadanie 9c
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 9c
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 9b
Among 15 independently selected line-A pieces, find the probability that exactly 6 have thickness below 117 μm.
Zadanie 9c
The server is operated for six days next week. Find the probability of at least one breach.
Zadanie 9d
Given at least one breach in those six days, find the probability of fewer than four breaches.
Zadanie 9e
The monthly service target requires at least 22 non-breach days out of 24 operating days. After 17 days,16 have met the target. Find the probability of meeting the monthly requirement.
Zadanie 9c
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…