Using R software language please answer the following: Question One: According t

Question

Using R software language please answer the following:

Question One:

According to a survey, 77% percent of the population like Cola, and 56% of the population like Pepsi. 45% of the population like both of them. Now we treat those shares as probability. Answer the following question:

• What is the probability that a person at least one kind of drink? (5 pts)

• What is the probability that a person does not both drinks? (5 pts)

• What is the conditional probability that a person likes Cola, under the condition that the person likes Pepsi? (5 pts)

Explanation / Answer

#A be the event that a person likes cola.
#B be the event that a person likes pepsi.

P_A=0.77
P_B=0.56
P_AB=0.45 #(Probability of A intersection B)

c=P_A+P_B-P_AB
c=0.88
P(a person does not like both drinks)

=[1-(P_A+P_B-P_AB)]
=0.12

P(a person likes atleast one kind of a drink)

=1-P(a person does not like both drinks)

=1-[1-(P_A+P_B-P_AB)]
=0.88

#Conditional PROB that a person likes Cola,
#under the condition that the person likes Pepsi

d=P_AB/P_B

0.8035714

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