BEST HANDWRITTEN N OTES OF THEORETICAL DISTRIBUTION CONCEPT CLARIFICATION
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CA foundation
Institution
CA Foundation
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CA Foundation Paper 3 : Quantitative Aptitude Study Notes for Complete Preparation | According to the New Syllabus 2024 by ICAI
"Dive into the world of probabilities with our captivating theoretical distribution notes for CA Foundation. Unravel the mysteries of Gaussian, Poisson, Binomial distributions, and more in this concise yet insightful guide. Elevate your understanding, ace your exams, and ignite your passion for sta...
robability Distributions
OR
Theoretical Distributions
Probability Distribution
x x
probability distribution of probability distribution of
discrete variable is known continuous variable is
a a
as Discrete probability distribution known as
continuous prob Distribution
V
when a variable is said to be variable is said to be
when a
a discrete variable a continuous variable
interval if nerva f
within a
given within a
given i
a variable can assume a variable can assume
It is infinite unlimited values It is
finite limited values
Discrete variable said to be a continuous
said to be a
variable
V x
Discrete probability distributions continuousprobability distributio
Binomial's Distribution Normal Distribution
Poisson's Distribution chi square E
Distribution
Multinomial's Distribution for student's Distribution
Geometric Distribution F Distribution
Rectangular Distribution
BP MGR N Chi t F
CA Vinod Reddy | Maths Regular Notes
, Binomial's Distribution
prob se as per
p
Binomial's theoremapproach Ca g
where n of independent
Number finite trials
D Number of successes in n trials
h se number of failures in n trials
in trial
probability of
success a
p single
probability of failure
in single trial
a
g
p 9 1 00 100
3 coins are tossed what is probability of getting
2 tails
classical homie
approach approach
All possible exactly likely n 3 p t 4 1 2 2
outcomes
prob 2 2
HH H HHT H TH HTT
se
TTT T TH TH T TH H ng pH gh 2
2
outcomes in favour 3g 1 t
T TH THT HTT 3g t E
nt 3 X X
t
probability
II.IE
NO of all possibleequal
3
8
0 3750
438 0.3750
37.501
37.507
CA Vinod Reddy | Maths Regular Notes
, S coins are tossed what is probability of
3 or 4 or s heads
getting
classical Binomial's
a
no of all possible etually likely n s
pet 9 2 2 3,4 s
outcomes 32 25
outcomes in favour prob 233
p x 3 Pfe 4 poets
HH HTT HH THT HHT TH
HH HHT HH H TH HHT HH Sgt Pt sq 7ft t
AHHHH HT HHT HTHTH S's E SCID
HTTHH
TH TH H
HTHHH TH HHT
TH H TH TH H HH
47 Sgt scat Sg
TTHHH 32 lots 1
I
501
soobability E 12
soy
2 dice are rolled what is probability of
s points on atleast one dice
getting
classical Binomials
of all possible dally f
No
likely outcomes
36 n 2 p 4
3 2 1,2
outcomes in favour prob 2 1
2
1,5 2,5 3,5 4,57 5,1 pfoe D pre
S2 5,37 5,47 5,5 5,6 1 Pfe o
6,5
I
2841 8
probability 30.555551 1 1 1
8 1
28
11
36 30.555551
CA Vinod Reddy | Maths Regular Notes
, 3 dice are rolled what is probability of getting
4 points on 2 dice
classical Binomial
outcomes infavour
2 2
414,1 4 9,27 9,9 3 9,4 s h 3 pet 9
8
44,6 4,447,44 2,4 413,4 Pfe 2
4,54 416,4 1 4,4 2,414 3g f f
314,4 5,441 6,4 4 1
No of all possible equally 3
3 34 8 2
6 216
likely out ones 6.9444
probability
6.944444
12 coins are tossed what is probability of
getting
i s heads
12cg Pt If 19.3359375
ii to tails 12g f off 49 1.611328125
Iii to or more heads Pfe 107 Pfe Il Ppe 12
I 129 E E 129 E E
12
11 t
t 1290 129 1292
66 12 1 79 1 92871
4096 40 96
CA Vinod Reddy | Maths Regular Notes
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