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A Gallup poll of 1236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. Consider the probability that among 30 randomly selected people from the 1236 who were polled, there are at least 2 who have that belief. Given that the subjects surveyed were selected without replacement, the events are not independent. Can the probability be found by using the binomial probability formula? Why or why not? Choose the correct answer below. O A. Yes. There are a fixed number of selections that are independent, can be classified into two categories, and the probability of success remains the same. O B. No. The selections are not independent, and the 5% guideline is not met. O C. Yes. Although the selections are not independent, they can be treated as being independent by applying the 5% guideline. O D. No. The selections are not independent.In a recent year (365 days), a hospital had 5612 births. a. Find the mean number of births per day. b. Find the probability that in a single day, there are 18 births. c. Find the probability that in a single day, there are no births. Would 0 births in a single day be a significantly low number of births? a. The mean number of births per day is (Round to one decimal place as needed.) b. The probability that, in a day, there are 18 births is (Do not round until the final answer. Then round to four decimal places as needed.) c. The probability that, in a day, there are no births is (Round to four decimal places as needed.) Would 0 births in a single day be a significantly low number of births? Yes, because the probability is 0.05 or less. O No, because the probability is 0.05 or less. O No, because the probability is greater than 0.05. O Yes, because the probability is greater than 0.05.The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 7 minutes. Find the probability that a randomly selected passenger has a waiting time less than 0.75 minutes. Find the probability that a randomly selected passenger has a waiting time less than 0.75 minutes. (Simplify your answer. Round to three decimal places as needed.)In a genetics experiment on peas, one sample of offspring contained 431 green peas and 159 yellow peas. Based on those results, estimate the probability of getting an offspring pea that is green. Is the res 3 reasonably close to the value of I that was expected? The probability of getting a green pea is approximately . (Type an integer or decimal rounded to three decimal places as needed) 3 Is this probability reasonably close to I? Choose the correct answer below. 0 A. Yes, it is reasonably close. 0 B. No' it is not reasonably close. Which of the following statements about probability is not true? Choose the correct answer below. 0 A. For any event E, [is P(E}