Question

2. Republican Presidential candidate Donald Trump promises to pass a bill to build a wall on the U.S. border. Polls show that 80% of registered Democrats are against this bill, while 70% of registered Republicans and 50% of registered Independents favor the bill. The distribution of party affiliation is 40% Democrat, 35% Republican, and 25% Independent.

(5) a. What is the probability that someone picked at random favors the bill?

(5) b. Suppose a randomly selected person does not favor the bill. What is the probability that they are registered as an Independent?

Answer 1

Hello Sir/ Mam

Let D be the event that the selected person is a Democrat.

Let R be the event that the selected person is a Republican.

Let I be the event that the selected person is a Independent.

Let F be the event that the person favors the bill.

Hence, given that:

P(D) = 0.4, P(R) = 0.35, P(I) = 0.25

Now, also given:

P(F | D) = 0.2 , P(F | R) = 0.7, P(F | I) = 0.5

Hence,

(a)

(b)

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