**Survey Data on Gender and Political Orientation**In a survey of 214 people, the following data were obtained relating to gender and political orientation:| | Republican (R) | Democrat (D) | Independent (I) | Total ||-----------------------|----------------|--------------|-----------------|-------|| Male (M) | 76 | 48 | 13 | 137 || Female (F) | 40 | 20 | 17 | 77 || **Total** | **116** | **68** | **30** | **214**|### Probability QuestionsA person is randomly selected. What is the probability that the person is:a) Male? b) Male and a Democrat? c) Male given that the person is a Democrat? d) Republican given that the person is Male? e) Female given that the person is an Independent? f) Are the events Male and Republican independent? (Enter yes or no)**Note:** For parts (a) to (e), please calculate the probabilities based on the data provided. For part (f), determine the independence of the events using the criteria for statistical independence.

Let, Person is a Republican represents Person is a Democrat represents Person is an Independent…

Answered: is: A person is randomly selected. What…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose you have a class with 30 students ‒ 10 freshmen, 12 sophomores, and 8 juniors. a) You pick one student at random. What is the probability that the student is not a junior? b) You pick two students at random, one at a time. What is the probability that both are freshmen? c) You pick two students at random, one at a time. What is the probability that the second student is a freshman, given that the first is a freshman?
20. In a survey of 400 households, 360 said they own a VCR, 170 said they own a DVD player and 19 said they didn't own either. If a person is selected at random from this survey, what is the probability that the person: a) owns a VCR, a DVD player or both? b) owns both a VCR and a DVD player? c) only owns a DVD player?
proper explanation is required.
There are 7 councilors in the Ames City council. Three of them are female. Suppose they need to select two councilors for a committee. Which expression is computing the probability that if both councilors are selected at random, both will be female? a. None of the other answers is correct. b. 2C3 / 2C7 c. 3/7 d. None of the other answers is correct. e. 3C2 / 7C2 f. 3C2 / 7C3
The contents of urns, I, II and III are as follows: 1 white, 2 black and 3 red balls; 2 white, 1 black and 1 red balls, and 4 white, 5 black and 3 red balls One urn is chosen at random and two balls drawn from it. They happen to be white and red. What is the probability that they come from urns I II or III
If 7 different customers A, B, C, D, E, F, and G arrive for service at random order, what is the probability that customers B and E arrive before other customers?
30. In the faculty parking lot, – of the vehicles are cars and the rest are trucks. Four sevenths of the trucks have bumper 3 stickers on them, while only one fifth of the cars have bumper stickers. If a vehicle from this lot is chosen at random, what is the probability that it a) does not have a bumper sticker given it is a car? b) is a car without a bumper sticker? c) has a bumper sticker?
a. An urn contains 3 red, 4 white and 5 blue discs. Two discs are selected at random from the urn, one by one without replacement. Find the probability that both discs are different colors.
Alice has a garden containing 9 carnations, 12 roses, and 6 dahlias. Alice randomly selects 6 of these flowers to give to her math teacher. Let X = the number of the selected flowers which are roses.a. a) How many possible ways are there to select the 6 out of 27 flowers (order does not matter) without replacement? b. What is the probability that X = 6 c. What is the probability that X=3? d. What is the probability that X > 3? e. What is the expected value of X? f. What is the standard deviation of X? g. What is the probability that X is within 1.0 standard deviation of its expected value? h. What is the probability that X = 2.6667? Add any comments below.

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