In a newspaper poll concerning violence on television, 603 people were asked, "What is your opinion of the amount of violence on prime-time television — is there too much violence on television?"   Yes No Don't Know Total Men 163 99 24 286 Women 254 45 18 317 Total 417 144 42 603 Use the data in the table above to find the following probabilities, where Y is the event "saying yes," and M is the event "being a man." (Round your answers to four decimal places.) (a)    p(Y ' | M) (b)    p(Y | M') (c)    p(Y ' | M')

The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was “What do you think are the chances you will be married in the next 10 years?” Here is a two-way table of the responses by gender:   Opinion Female Male Almost no chance 120 94 Some chance but probably not 156 178 A 50-50 chance 427 498 A good chance 750 700 Almost certain 1176 770   How many individuals are described in this table? How many females were among the respondents? The percent of females among the respondents was about %. Your percent from the previous exercise is part of the marginal distribution of opinion about marriage. the conditional distribution of sex among adolescents with a given opinion. the marginal distribution of sex. What percent of females thought that they were almost certain to be married in the next 10 years?% Your percent from the previous exercise is part of the conditional distribution of sex among…

Review the definitions and examples of probability of events and their complementary events.  A survey of 451 Salinas residents showed 389 voted in a recent election. When making a selection from the 451 surveyed, what is the probability the person voted in a recent election? When making a selection from the 451 surveyed, what is the probability the person did not vote in a recent election?

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Name the method of estimating probabilities based on experience or institution.

Question: A survey is conducted among 70 people. Details about if theyhave diabetes and their family history of diabetes are collected. 48 people reported that they have a family history of diabetes. 32 of them reported to have diabetes among which 23 of them had a family history of diabetes. Construct a contingency table with this information. What is the probability that an individual has diabetes given that the individual had a family history of diabetes?

Mrs. Bukovac compiled the following table to compare the hand dominance of 200 Cleveland Heights High School students and what methods they prefer using to communicate with their friends. Communication method Cell phone/text In person Online 34 166 200 Total Hand Left-handed 12 13 domin ance Right-handed 43 72 51 Total 55 85 60 (a) If you choose a student at random, what is the probability they are left-handed, given that they communicate in person? (b) If you choose a student at random, are the events "left-handed" and "communicates by text" independent, based on the data above? Explain how you know.