Question

In: Statistics and Probability

Assume that 6% of voters are undecided about who to vote for in a national election....

Assume that 6% of voters are undecided about who to vote for in a national election. Among undecideds 20% are registered to a party and 80% are unaffiliated. Among decided voters 30% are unaffiliated.
1. What is the probability that a person is undecided for this election given that he/she is unaffiliated?
2. What is the probability that a person is decided given that he/she is registered to a party ?

Expert Solution

Let the events be defined as follows:

D = Voters are Decided about who to vote U = Voters are undecided about who to vote A = Voters are affiliated to a party N = Voters are not affiliated / unaffiliated to a party

Based on the given data,

Converting them into probabilities,

a. To find: = probability that a person is undecided for this election given that he/she is unaffiliated

By property of Conditional probability,

= 0.145

Hence, the probability that a person is undecided for this election given that he/she is unaffiliated = 0.145

b. To find: = probability that a person is decided given that he/she is registered to a party

By property of Conditional probability,

= 0.982

Hence, the probability that a person is decided given that he/she is registered to a party = 0.982

orchestra answered 3 years ago

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