Question

2. The following dat Texas and California a set represents the political preference of randomly selected US adults in 15pts] Democratic Republicarn 4685 4483 Texas 3877 8753 12030 California 1323 Total/ (a) What is the probability that a randomly seflected person from this population is a Democrat? 21718 (b) What is the probability that a randomly selected De mocrat from this population is a Texan? PCT)32 3F77 2171 10. 17 (c) What is the probability that Democrat and it is a Texan? a randomly selected person from this population is a seleo O..s 217r PD 0.30% S and"being a Californian" mutually exclusive? Justify (d) Are the events "being a Texan"

can someone help me please

Answer 1

Ans:

	Democratic	Republican	Total
Texas	3877	4685	8562
California	8753	4483	13236
Total	12630	9168	21798

a)

P(Democrat)=12630/21798=0.5794

b)

P(Texas/Democrat)=3877/12630=0.3070

c)

P(democrat and Texas)=3877/21798=0.1779

d)

Yes,they are mutually exclusive,as P(Texas and California)=0