Zadanie 4a
Express (i) a; (ii) b in terms of k.
Discrete probability models and means
Construct or use a discrete probability distribution and calculate expected values in context, including fair-game questions.
Tę umiejętność sprawdza 36 zadań wzorowanych na arkuszach IB z lat 2022–2026.
Zadania sprawdzające tę umiejętność: 36 Otwórz w wyszukiwarce z filtrami
Zadanie 4b
Find k.
Zadanie 4c
Hence find E(X).
Zadanie 8e
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.…
Zadanie 8f
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. After n…
Zadanie 9c
One play costs 6 credits. At least seven red markers win 50 credits, at least seven blue markers win B credits (a positive integer), and at least seven gold markers win 15 credits. Otherwise the prize is zero. These prize events are mutually exclusive. Let X…
Zadanie 9d
One play costs 6 credits. At least seven red markers win 50 credits, at least seven blue markers win B credits (a positive integer), and at least seven gold markers win 15 credits. Otherwise the prize is zero. These prize events are mutually exclusive. Let X…
Zadanie 4a
(i) Find a. (ii) State the mode of X.
Zadanie 4b
Find E(X).
Zadanie 7c
Find E(X).
Zadanie 7d
Hence estimate the total score over 75 rounds.
Zadanie 7a
Prove that k = 1/4.
Zadanie 7b
Find P(X < 4a).
Zadanie 7d
Given E(X) = 34, find a.
Zadanie 1a
Find k.
Zadanie 1b
Find P(X>0).
Zadanie 1c
Find E(X).
Zadanie 9d
The distribution of X has P(X=0)=2/21,P(X=1)=a,P(X=2)=b. Find a,b.
Zadanie 9e
Find E(X).
Zadanie 4a
Find k.
Zadanie 4b
Find E(X).
Zadanie 4a
Find k.
Zadanie 4b
Find E(X).
Zadanie 2b
Find k.
Zadanie 3a
Estimate for tomorrow (i) the probability that a kitchen returns at least one container; (ii) the expected number returned per kitchen.
Zadanie 3b
Using the expected total, estimate the minimum number of washing batches needed.
Zadanie 9e
Find the smallest number k of games for which the expected total score exceeds 160.
Zadanie 6
A discrete variable X takes values 0,2,5,7 with respective probabilities k,k²,a,k³, where a,k>0. Given E(X)=3.4, find a.
Zadanie 6
A discrete variable X takes values 0,2,5,7 with respective probabilities k,k²,a,k³, where a,k>0. Given E(X)=3.4, find a.
Zadanie 4a
Show that 2k²−k+0.105=0.
Zadanie 4b
Find k and justify your choice.
Zadanie 4c
Hence find E(X).
Zadanie 9a
Show that p=0.40 and q=0.25.
Zadanie 9b
Find P(X>2).
Zadanie 9d
Two independent uniform four-sector spinners each have sector labels 0,2,4,6. Their sum has the following distribution. A replacement pair of independent uniform four-sector spinners must produce this same sum distribution. Their labels are respectively…
- Tabela do uzupełnienia
Zadanie 9e
Two independent uniform four-sector spinners each have sector labels 0,2,4,6. Their sum has the following distribution. A replacement pair of independent uniform four-sector spinners must produce this same sum distribution. Their labels are respectively…
- Tabela do uzupełnienia