answer 7.10, 7.12, and 7.14

7.10 The probability that the entire class will show-up for class today is .85, If the class size is 30, what is the probability that: a. No more than 25 will show-up? b. At least 25 show up? c. Exactly half will show up? d. Less than half will show up? 7.11 In a recent year, 36 percent of bureaucrats worked in the Defense Department 25 percent worked in the Postal Service, and 39 percent worked in all other agencies. In a random sample of six employees, what is the probability that: a. Three work in the Defense Department? b. Three work in the Postal Service? c. What are the expected mean and standard deviation for the number working in the Defense Department? 7.12 Fifteen local politicians were charged with embezzling school tax monies. If the probability of being found guilty is .8, what is the probability that: a. All 15 will be found guilty? b. None will be found guilty? c. At least 8 will be found guilty? d. Exactly 10 will be found guilty? e. What are the mean and standard deviation of the expected number of politicians that will be found guilty? 7.13 It is reported that only 19 percent of all car salespersons are women. In a survey of salespersons, 20 were asked their gender. a. What is the probability that no more than one respondent was a female? b. What is the probability that none of the respondents are female? c. What is the probability that all are male? d. What is the probability that at least 8 are male? e. What are the mean and standard deviation of the number of females? 7.14 Forty-two percent of the population is overweight. If a sample of 12 people were taken, what is the probability that: a. Half of the people are overweight? b. No person is overweight? c. No more than 8 are overweight? d. At least 11 are overweight? e. What is the expected mean for the sample