The 113th U.S. Senate has the below party and gender...

The 113th U.S. Senate has the below party and gender distribution. Male Female Total Party Democrat 36 16 52 Republican 42 4 46 Independent 2 2 Total 80 20 100 1. 0.84 What is the probability a senator is a male OR a 2. 0.52 Republican? 3. 0.46 What is the probability that a female is a Democrat? 4. 0.04 What is the probability a 5. 0.76 senator is Republican? What is the probability a 6. 0.91 senator is a Republican woman? 7. 0.20 What is the probability a 8. 0.80 Republican is a male? 9. No answer is correct.

Transcript

00:01 All right, so let's recreate the table.

00:02 We have male, female, and then total.

00:07 Then we have democrat, republican, and then independent.

00:14 So we have 28, 1745, and then 45, 8, and 53.

00:28 Then we have 2, 0, and 2.

00:32 And then we also have total down here.

00:37 This is going to be 75, 25, and then 100.

00:46 So for a, we want to know what is the probability that the senator is a male.

00:56 So in a case, that's 75 out of 100.

01:00 So 0 .75.

01:03 B, so what's the probability that the senator is a democrat, so that's going to be 45 out of 100.

01:16 C, what's the probability is that the senator is a democrat in a male? so that's 28 out of 100 for d.

01:32 We want to know what's the probability that the senator is a democrat, democrat, given that the senator is male.

01:40 So we want to find being a democrat and a male, which is 28, and had the probability of being a male, which is 75.

01:51 So just toss that to calculator, see what the decimal value is.

01:55 Says 0 .373.

02:02 E is what's a probability that the senator is male given that they're a democrat.

02:08 So to be a male and a democrat is 28, then be a part of democrat is 45.

02:16 So 28 out of 45 is 0 .62.

02:25 For f, it says are our political party affiliation and gender independent? so in that case, we need to determine if the intersection of being democrat and male equivalent to just their values or their independencies multiply...

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