Zadanie 8a
For a randomly selected type-R battery find the probability that its duration is (i) below 224 minutes; (ii) between 224 and 242 minutes; (iii) between 224 and 242 minutes given it exceeds 224 minutes.
Normal probabilities with known parameters
Interpret a normal model and use technology to calculate probabilities or quantiles when its mean and spread are given.
Tę umiejętność sprawdza 28 zadań wzorowanych na arkuszach IB z lat 2022–2026.
Zadania sprawdzające tę umiejętność: 28 Otwórz w wyszukiwarce z filtrami
Zadanie 8a
(i) Find μ,σ. (ii) Find P(15<T<22).
Zadanie 6a
Find b such that P(X > b) = P(Y > 34).
Zadanie 6b
Give P(12 − a < X < 12 + a) approximately, to two significant figures.
Zadanie 6c
If a = 4, estimate P(Y < 34) to two significant figures.
Zadanie 8a
Find P(R < 990).
Zadanie 8b
The highest 15% of resistances exceed r ohms. Find r to four significant figures.
Zadanie 8c
What percentage of resistors pass inspection?
Zadanie 2a
Find P(Z<1.4).
Zadanie 2b
On a standard normal curve, mark a and shade the region representing the given probability.
- Materiał graficzny
Zadanie 2c
Find a.
Zadanie 4a
Find the probability that X is more than 1.2 standard deviations above its mean.
Zadanie 7a
The interval 48.8≤L≤k spans one standard deviation on either side of the mean. Find k.
Zadanie 7b
Find P(L>55.2).
Zadanie 7c
Ninety-nine percent of cable segments are longer than x centimetres. Find x.
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 7e
Each segment is measured and its length recorded to the nearest 0.1 cm. Find the probability that the recorded length is 52.4 cm.
Zadanie 4a
Find P(W > 320).
Zadanie 4b
Find P(W < w).
Zadanie 4c
Find w.
Zadanie 9a
Find P(42.2<H<47.8).
Zadanie 9a
Find P(42.2<H<47.8).
Zadanie 9a
Find the probability that a line-A piece has thickness below 117 μm.
Zadanie 9c
A piece is selected from the combined output. (i) Find the probability its thickness is below 117 μm. (ii) Given that its thickness is below 117 μm, find the probability it came from line A.
Zadanie 9b
Find the probability of a breach on a randomly selected day.
Zadanie 9a
Find P(T>48).
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…
Zadanie 9d
Thresholds a<b satisfy P(a≤T≤b)=0.88 and P(T>b)=2P(T<a). Find the lower threshold a.