Homework: find P(1), P(3), P ( 4), P(5). P(O)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
![distance learning relies on external hot
example:
SCUENG
DRG
Based on an enrollment survey 67 h
PS
pats Find the probability that exactly
Aof6randomly selected Jearners rely.
on hotspots.
NY
n!
P(x) = (n-x)lx'
n = 5
n-x
て★
x = 2
(5)!
P(2) =T5-2)!(2)!
(0.67)° (0.33)°
5-2
P = 0.67
(5)!
(3)\ (2)!
(0.67)? (0.33)3
q=0.33
=(s)(x) (s)! co.67)? Co.33]3
|()! (6) (1)
(10) (6. G7)?(0.33)
P(2)
The probability of having exactly 2 of
rely on hot spots is 16°. 13 %.
O.1613
コ
learners
FIVE STAR
FIVE STAR.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3dd8c9ac-d087-46bb-b8c4-53ceffa446e7%2F3c7957fe-e09a-44b3-b796-475ec0e42680%2Fkp3eoc_processed.jpeg&w=3840&q=75)
the given values are
n=5
p=0.67
q=(1-p)=0.33
X ~ Binomial(5,0.67)
calculate x=0,1,2,3,4,5
the p.m.f of binomial distribution is
p(X=x)=
a) x=0
p(x=0)=
p(x=0)=0.0039
b) x=1
p(x=1)=
p(x=1)=0.0397
c) x=2
p(x=2)=
p(x=2)=0.1613
d) x=3
p(x=3)=
p(x=3)=0.3275
e) x=4
p(x=4)=
p(x=4)=0.3325
f) x=5
p(x=5)=
p(x=5)=0.1350
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