# 2. The following table displays the 100 senators of the 116th U.S. Senate as ofFebruary 3, 2019, classified by political party affiliation and gender:Male FemaleDemocrat 28 17Republican 4580Independent 2A senator is selected at random from the group. Compute the followingprobabilities (show fraction and then decimal or percent):a) The senator is female and Democrat?b) The senator is male or republican?c) The senator is not Independent?d) The senator is Republican and Independent?e) The senator is Republican or Independent?f) The senator is female, given that a democrat is randomly selected?g) The senator is a democrat, given that a female is randomly selected?

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 116th 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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