Edexcel A level Maths 2023 paper 3 UOMS

Edexcel A level Maths 2023 paper 3 UOMS
Feel free to correct this
Venn diagram
1(a)0.38
(b)0.2
(c)0.07
(d)0.325

Binomial
B(40,1/7), test n=110,9
2(a)0.173
P(T<3)0.0615
(b)P(T<3 exactlytwice)=0.158
(c)Accept H1

Large data set
Sum of x=9, Sum of x²=4341
3(a)Consider tr, treat tr as zero as ≤0.05mm rounds to 0
(b)2.12,4.37
(c)May to Oct only not representable
The great storm so actual value is less

Normal distribution
N(175.4,6.8²), 52 sample
4(a)0.2494
(b)Accept H0
(c)0.0562

Discrete distrbution
20,50,80,100
a,b,c,d
P(S|{X=20})=k/x
P(S∩{X=20}) constant for all x
5(a)Show thtat c=5/8b
(b)2/25,1/5,8/25,2/5
(c)k/100=0.3,k=30,P(S|{X=20})=30/20=1.5>1 so not reasonable

Histogram
N(14.9,3.2²)sth like that, y=kxe⁻ˣ for 0≤x≤4, unit of x is ten years
6(a)0.538
(b)Not symmetrical, median not the same etc
(c)Show that ∫₀ⁿxe⁻ˣdxdx=1-(n+1)e⁻ⁿ
(d)k(∫₀⁴ xe⁻ˣdx)=90 so k=99
(e)0.5902
(f)Sample size=90 is too small to estimate

1D suvat
u=0, t=5, a=3.2
1(a)v=16
(b)s=40

1D forces
5kg, Pulling force=28, a=1.4
2(a)R=49
(b)Friction=21
(c)mu=0.43

Parametric
v=(t²-3t+7)i+(t²-3)j
3(a)|v0|=7.62
(b)t=2
(c)a=(2t-3)i+4tj
(d)t=1.5

Vector suvat
u=-16i-3j, v=2.4,1, t=5, at time T s=4i+cj
4(a)-4i+2j
(b)4.47
(c)T=10,c=10

Projectile
u=28, x=40, y=20
5(a)T=10/(7cosθ)
(b)tan²θ-4tanθ+3=0
(c)36
(d)Spin of the ball, accurate value of g etc

Ladder, tanθ=3/4
6(a)S=1/2Mgcotθ
(b)2/3
(c)√13/3Mg
(d)Farther away so moment increase so S bigger

https://docs.google.com/document/d/12l15wB_3NiOoR2Xb0NrrqihMfVlCsNDnJd-QCWdhw74/edit - here is a link to the UOMS

Quick question, for the normal distribution question was the standard deviation for the hypothesis test root (6.8^2/52) ?

can someone make an UOMS without other people editing it

Quick question, for the normal distribution question was the standard deviation for the hypothesis test root (6.8^2/52) ?

you had to square root it. What u stated is the variance

Yeah I did? I put root in my message