Question

PROBLEM: (in case picture doesn't show) The following table displays 100 senators, classified by party and gender.

A senator is selected at random from the group. Compute the following probabilities. (show fraction and then decimal or percent)

Male Democrat: 28. Male Republican: 45. Male Independent: 2. Female Democrat: 17. Female Republican: 8. Female Independent: 0.

QUESTION: The senator is female, given that a Democrat is randomly selected?

(I'm just trying to get better understanding on this as my book isn't too helpful and I feel confused and my professor is out sick. )

Step 1

Hello there! there are multiple sub parts in the question. According to our policis can answer only 3 subparts at once. So do find the solutions for a,b,c. If you have any doubts in remaining parts kindly request them as a new question.

Given a table of 100 senators of 116^{th} US Senate classified by political party and gender as shown below.

To find the probability a randomly selected senator is democrat and female.

Total number of ways of selecting one senator = 100, As there are 100 senators and we need to choose one among them.

Total number of Democrats who are females = 17.

So the probability that randomly selected senator is democrat and female = 17/100 = 0.17

Step 2

If a senator is selected random we need probability that he is male or republican.

Total number of ways of selecting one senator = 100

Total number of Republicans and male = 45

Total number of republicans = 53

total number of males = 75

Total number of males or repub...

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