Assume that 1900 births are randomly selected and exactly 480 of the births are girls. Use subjective judgment to determine whether the given outcome is unlikely, and also determine whether it is unusual in the sense that the result is far from what is typically expected. Determine whether exactly 480 girls out of 1900 randomly selected births is unlikely. O A. It is not unlikely because girls are slightly less common than boys. O B. It is unlikely because it is not 950 as expected. O C. It is unlikely because there are many other possible outcomes that have similar or higher probabilities. O D. It is not unlikely because 480 is about one quarter of 1900. Determine whether exactly 480 girls out of 1900 randomly selected births is unusual. O A. It is unusual because girls are much more common than boys O B. It is not unusual because 480 is about the number of girls expected. O C. It is unusual because it is not about 950 as expected O D. It is not unusual because 480 girls out of 1900 births is the only possible outcome.Polygraph result table Did the Subject Actually Lie? 9 He {Did Not Lie} Yes {Lied} Positive test results 19 4|] Negative test results 33 11 The accompanying table displays results from experiments with polygraph instruments. a. Find P(subject told the truth | negative test result). b. Find P(negative test result | subject told the truth). c. Compare the results from parts a. and b. Are they equal? Click the icon to view the data table. a. P(subject told the truth | negative test result) =] (Round to three decimal places as needed.) b. Find the probability of selecting a subject with a negative test result, given that the subject told the truth. P(negative test result | subject told the truth) =] (Round to three decimal places as needed.) c. Compare the two values. Are they equal? O Yes O NoIn a certain country, the true probability of a baby being a girl is 0.467. Among the next eight randomly selected births in the country, what is the probability that at least one of them is a boy? The probability is. (Round to three decimal places as needed.)The accompanying table contains the results from experiments with a polygraph instrument. Find the probabilities of the events in parts (a) and (b) below. Are these events unlikely? a. Four of the test subjects are randomly selected with replaceme nt, and they all had true negative test results. b. Four of the test subjects are randomly selected without replacement, and they all had true neg alive test results. a Click on the icon to view the data table. a. The probability that all tourtest subjects had a tme negative test result when they are randomly seleded with replacement is D. (Round to three decimal places as needed.) ls such an event unlikely? O A. No, because the probability of the event is greater than 0.05. O B. No, because the probability of the event is less than 0.05. O C. Yes, because the probability of the event is greater than 0.05. O D. Yes, because the probability of the event is less than 0.05. b. The probability that all tourtest subjects had a true negative test result when they are randomly selected without replacement is :|. (Round to three decimal places as needed.) ls such an event unlikely? O A. No, because the probability of the event is less than 0.05. O B. Yes, because the probability of the event is less than 0.05. O C. No, because the probability of the event is greater than 0.05. O D. Yes, because the probability of the event is greater than 0.05. In a genetics experiment on peas, one sample of offspring contained 448 green peas and 49 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the result reasonably close to the value of 3 / 4 that was expected? The probability of getting a green pea is approximately. (Type an integer or decimal rounded to three decimal places as needed.) Is this probability reasonably close to 3/4? Choose the correct answer below. O No, it is not reasonably close. O Yes, it is reasonably close.A game Show contalanl. must. randomly Select a door One door doubles her money while the other three doors leave her bankrupt. What i5 the probability she selects the door that doubles her money? Choose the correct probability below. [105 [1.95 0.25 0 0000 In a survey, 178 respondents say that they never use a credit card, 1237 say that they use it sometimes, and 2844 say that they use it frequently. What is the probability that a randomly selected person uses a credit card frequently? Is it unlikely for someone to use a credit card frequently? How are all of these results affected by the fact that the responses were obtained by those who decided to respond to a survey posted on the Internet? The probability that a randomly selected person uses a credit card frequently is (Round to three decimal places as needed.) Is it unlikely for someone to use a credit card frequently? O A. No, because the probability of a randomly selected person using a credit card frequently is less than or equal to 0.05. O B. No, because the probability of a randomly selected person using a credit card frequently is greater than 0.05. O C. Yes, because the probability of a randomly selected person using a credit card frequently is greater than 0.05. O D. Yes, because the probability of a randomly selected person using a credit card frequently is less than or equal to 0.05. How are all of these results affected by the fact that the responses were obtained by those who decided to respond to a survey posted on the Internet? A. Since this is a voluntary response sample, valid conclusions can be drawn about the entire population of credit card users O B. Since this is a voluntary response sample, valid conclusions can only be drawn about the specific group of people who chose to participate. O C. Since this is not a voluntary response sample, valid conclusions can be drawn about the entire population of credit card users. O D. Since this is not a voluntary response sample, valid conclusions can only be drawn about the specific group of people who chose to participate.The table below summarizes results from a study of people who refused to answer survey questions. A market researcher is not interested in refusals or subjects below 22 years of age or over 59. Find the probability that the selected person refused to answer or is below 22 or is older than 59. Age 18-21 22-29 30-39 10-49 50-59 60 and over Responded 253 243 134 136 200 Refused 14 23 36 29 38 60 The probability that a randomly selected person refused to answer the survey question or is below 22 or is older than 59 is (Do not round until the final answer. Then round to three decimal places as needed.)The table below summarizes results from a study of people who refused to answer survey questions. A pharmaceutical company is interested in opinions of the elderly. What is the probability that the selected subject is someone 60 and over who responded? Age 18-21 22-29 30-39 40-49 50-59 60 and over Responded 80 262 252 143 145 209 Refused 15 24 37 30 39 61 The probability that the selected subject is someone 60 and over who responded is. (Round to three decimal places as needed.)